The symmetric fraction to 8/4 is given as follows:
1/2.
How to obtain the symmetric fraction?A fraction is a numerical representation of the division of the two terms, symbolized x and y, as follows:
Fraction = x/y.
The technical terms of x and y are given as follows:
The top term x of the fraction is the numerator of the fraction.The bottom term x of the fraction is the denominator of the fraction.The symmetric fraction is obtained exchanging the numerator and the denominator, hence it is of:
Symmetric fraction = y/x.
The fraction in this problem is given by:
8/4.
Hence the symmetric fraction is of:
4/8 = 1/2.
(as both 4 and 8 are divisible by 4).
TranslationThe problem asks for the symmetric fraction to 8/4.
More can be learned about fractions at brainly.com/question/1622425
#SPJ1
Under his cell phone plan, liam pays a flat cost of $69. 50 per month and $5 per gigabyte. He wants to keep his bill under $90 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes liam can use while staying within his budget.
The inequality given by 69.50 + 5x ≤ 90 and the maximum gigabyte he can buy is 4.1.
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
Let the number of gigabytes consumed be x,
The total cost per month will be 69.50 + 5x
accoding to the question the bill would not exceed $90.
So the inequality,
69.50 + 5x ≤ 90
Simplification for the maximum gigabyte he can buy,
5x ≤ 90 - 59.90
5x ≤ 20.5
x ≤ 4.1
Hence, the required inequality is given by 69.50 + 5x ≤ 90 and the maximum gigabyte he can buy is 4.1.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ4
In an Arithmetic Progression (AP), the first
term is 3, and the sum of the first and the sixth
terms is 20. What is the 8th term
Answer:
The 8th term of the AP= 113/5 or 22.6
Answer:
22.6
Step-by-step explanation:
Given:
a = 3a + a₆ = 20Find the value of a₆:
[tex]\implies a+a_6=20[/tex]
[tex]\implies a_6=20-a[/tex]
[tex]\implies a_6=20-3[/tex]
[tex]\implies a_6=17[/tex]
Therefore:
a = 3a₆ = 17General form of an arithmetic sequence:
[tex]\boxed{a_n=a+(n-1)d}[/tex]
Where:
[tex]a_n[/tex] is the nth term.a is the first term.d is the common difference between terms.n is the position of the term.Substitute a = 3 and a₆ = 17 into the formula and solve for d:
[tex]\begin{aligned}\implies a_6=3+(6-1)d&=17\\3+5d&=17\\5d&=14\\d&=2.8\end{aligned}[/tex]
Therefore, the equation for the nth term is:
[tex]\implies a_n=3+(n-1)2.8[/tex]
[tex]\implies a_n=3+2.8n-2.8[/tex]
[tex]\implies a_n=2.8n+0.2[/tex]
To find the 8th term, substitute n = 8 into the equation for the nth term:
[tex]\implies a_8=2.8(8)+0.2=22.6[/tex]
find the perimeter of the triangle. a triangle is drawn. all the angles of the triangle are marked with a single arc. three sides of a triangle are labeled (x plus 5 )inches, (2 x minus 3 )inches and (21 minus x )inches.
If the three sides of the triangle is (x + 5), (2x - 3), (21 - x), then the perimeter of the triangle is 23 + 2x
The perimeter of the triangle is the summation of all three sides of the triangle
Perimeter = a + b + c
= (x + 5) + (2x - 3) + (21 - x)
= 2x + 23
= 23 + 2x
Therefore, if the three sides of the triangle is (x + 5), (2x - 3), (21 - x) then the perimeter of the triangle 23 + 2x.
Any two-dimensional figure's perimeter is determined by the space surrounding it. By adding the lengths of the sides, we can determine the perimeter of any closed shape.
To learn more about perimeter
brainly.com/question/24382052
#SPJ4
Find the solution(s) of the system of equations. y = x2 + 4x y + x2 = –4x
A)
(0, 0)
B)
(–4, 0) and (4, 0)
C)
(–4, 0) and (0, 0)
D)
(0, 0) and (4, 0)
An empty cubical carton i of ide 9cm. Can you fit in 1000 1cm cube in it? Jutify
Answer: Side of an empty cubicle carton = 9 cm.
Now as we know that volume of the cube is the cube of its side.
So the volume of an empty cubicle carton having side 9 cm, V = (9)3=729 cm3.
Now we have to find out can 1000 cubes of side 1cm fit in it.
So the volume of the cube of side 1 cm is, V’ = (1)3=1 cm3
So the volume of the 1000 such cubes = 1000 (1) = 1000 cubic centimeters.
Now if the ratio of the volume of the empty cubicle carton to the volume of 1000 cubes of 1 cm is greater than 1 then we can will 1000 cubes of side 1 cm into an empty cubicle carton otherwise not.
So the ratio of the volume of the empty cubicle carton to the volume of the 1000 cubes is,
⇒VV′=7291000=0.729 < 1
So as we see that the ratio is less than one so we cannot fit 1000 cubes of side 1 cm into an empty cubicle carton of side 9 cm.
Step-by-step explanation:
I really hope this works!
Hope you Have a Great Day!! :)
JE
Write an equation for a line perpendicular to y = 3a + 3 and passing through the point (-6,6)
Answer:
Step-by-step explanation:
A line that is perpendicular to another will have the opposite slope.
y = [tex]-\frac{1}{3}[/tex]a + b
To find b, substitute y and a with the given values
6 = [tex]-\frac{1}{3}[/tex](-6) + b
6 = 2 + b
-2 -2
4 = b
thus
y = [tex]-\frac{1}{3}[/tex]a + 4
Scott bought a desktop computer and a laptop computer. Before finance charges and the laptop cost $350 more than the desktop. He paid for the computers using two different financial plans. For the desktop the interest rate was 6.5% per year and for the laptop it was 9% per year. The total finance charges for one year for $388. How much did each computer cost before finance charges
The cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.
What are mathematics operations?A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value.
From the question , we are given that the laptop costs $350 more than the desktop, therefore,
let x represent the cost of the laptop thus, x-350 will be the cost of the desktop .
The total finance charge of $388 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as;
388 = 0.08(x) + 0.075(x - 350)
252 = 0.08x + 0.075x - 26.25
278.75 = 0.155x
x = 278.75/0.155
x = 1798
Recall that the cost of desktop = x -350
therefore:
1,798- 350 = 1448
The cost of laptop = $1798
The cost of desktop = $1448
Thus, the cost of laptop and cost of desktop are; $1,800 and $2,100 respectively.
Read more about mathematics operations at:
brainly.com/question/17869111
#SPJ1
visit your local library: on a recent saturday, a total of 1343 people visited a local library. of these people, 253 were under age 10, 466 were aged 10-18, 174 were aged 19-30, and the rest were more than 30 years old. one person is sampled at random. (a) what is the probability that the person is less than 19 years old? (b) what is the probability that the person is more than 10 years old? part 1 of 2 (a) what is the probability that the person is less than 19 years old? round your answer to four decimal places.
Probability of people less than 19 year old = 0.5343
Probability of people greater than 10 year old = 0.8116
What is probability?
Mathematical descriptions of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the probability of an event, with 0 roughly denoting impossibility and 1 denoting certainty.
People under age 10 = 253
People between the age of 10-18 = 466
People between the age of 19-30 = 174
People above the age of 30 = 450
Total no. of people = 1343
a) people less than 19 years old = 253+466 = 719
probability of people<19 year old = P(age<19) = 719/1343 = 0.5354
b) people of age greater than 10 = 466+174+450 = 1090
probability of people >10 year old = P(age>10) = 1090/1343 = 0.8116
To learn more about probability:
https://brainly.com/question/13604758
#SPJ4
Examine the table, which represents a linear function.
Input (x) Output (y)
−3 14
0 7
3 0
6 −7
What is the initial value of the function?
Responses
3
−3
77
0
The initial value of the function obtained from the table of values for the linear function is; 7
What is a linear function?A linear function is a function that when plotted, produces a straight line on the coordinate plane.
The initial value of a function is the value of the function, when the input value is 0.
The initial value indicates the point where the graph intersects the y-axis, which is the y-intercept. It the point the graph enters quadrant I, where the x and y-values are positive.
From the initial value, and to the right of the x-axis, the input variable (x) is positive, such that the values of the function for natural value input, such as time can be found, and the initial value then represents the start of the measurement of the output values of the function.
The data in the table indicates that when the input variable x = 0, the output variable, y = 7
Therefore:
The initial value of the function is 7Which indicates that at the initial point of the positive value inputs of the function, the output is 7
Question details are:
Please find the table of the linear function, which is to be examined, presented as follows:
[tex]\begin{array}{|c|c|}In put (x) & Out put (y)\\-3 &14 \\0 & 7 \\3 & 0 \\6 & -7 \\\end{vmatrix}[/tex]
The initial value of the function that the above table represents is required.
Learn more about linear functions in mathematics here:
https://brainly.com/question/4025726
#SPJ1
The interior angles of a polygon are the angles formed inside a polygon by two adjacent sides. The sum S of the measures of the interior angles of a polygon with n sides can be found using the formula S = 180(n - 2). The sum of a polygon’s interior angle measures is 1260°. How many sides does the polygon have?
The number of sides in the polygon that has 1,260° as the sum of the interior angles, found using the formula for the sum of the interior angles in the polygon, S = 180·(n - 2) is 9 sides
What is a polygon in geometry?A polygon is a figure consisting of a specified number of straight sides such that they form a closed loop. The number of sides in a polygon are three or more.
The formula for the sum of the interior angles of a polygon, S, can be be used to find the number of sides in the polygon as follows;
S = 180·(n - 2)
Where;
n = The number of sides the polygon has
The sum of the interior angles in the specified polygon = 1,260°
The number of sides in the polygon can be found by equating the formula for S to 1,260° as follows;
When S = 1.260°, we get;
1,260 = 180·(n - 2)
Which indicates;
n - 2 = 1,260 ÷ 180 = 7
Therefore; n - 2 + 2 = 7 + 2 = 9
n = 9
The number of sides in the polygon that has a sum of the interior angles as 1,260° is therefore, n = 9 sidesLearn more about polygons here:
https://brainly.com/question/12291395
#SPJ1
Factorise this equation + workings out!! Please help!!!!
Answer:(2x+1)(3x-4)
Step-by-step explanation:Factor the expression out first by getting 6x^2+3x-8x-4. From there, factor again to 3x(2x+1)-4(2x+1) to get the answer (2x+1)(3x-4)
Answer:
(3x - 4)(2x - 1)
Step-by-step explanation:
6x^2 - 5x - 4
When factoring, we want to first find the GCF. In this case, the GCF is one so we leave it as that. Next, we want to try and find the sum and the product. Additionally, we have a leading coefficient. We will multiply the leading coefficient by the last term, which is -4. (You will need to remember this to continue on later.)
x^2 - 5x - 24
Now, we can find the sum and the product. To do this, we need to list the factors of 24. (Remember negatives as well!)
24: 1 and 24, 2 and 12, 3 and 8, 4 and 6.
As -24 is also a negative, that means it will have one positive and one negative factor. This must also add up to -5.
One pair that does this is -8 and 3. They multiply together to -24 and add up to -5.
Now, since we multiplied the leading coefficient in the beginning, we must bring it back down into the parenthesis.
(6x - 8)(6x - 3)
We must divide out and try to simplify this as much as we can to match the leading coefficient. The divisors must multiply up to 6.
(6x - 8)/2 and (6x - 3)/3. 3*2 = 6
(3x - 4)(2x - 1)
The best fitting line is one where the intercept of the regression equation: a, is closest to zero. slope of the regression equation,
b, is closest to zero. residual sum of squares is closest to zero.
c. variance of Y is large.
The best fitting line is one where the intercept of the regression equationrResidual sum of squares is closest to zero. So the option c is correct.
In the given question,
The best fitting line is one where the intercept of the regression equation:
Intercept of the regression equation, a, is closest to zero. Slope of the regression equation, b, is closest to zero. Residual sum of squares is closest to zero.variance of Y is large.As we know that;
The slope of the line of best fit is the coefficient in a simple regression with a single independent variable. The slope is a mixture of the two coefficients in this example and in any regression with two independent variables. The y-intercept of the line of best fit is constant C.
So, the best fitting line is one where the intercept of the regression equationrResidual sum of squares is closest to zero. So the option c is correct.
To learn more about best fitting line link is here
brainly.com/question/14279419
#SPJ4
The volume of this cone is 83.7 cubic meters. With a height of 5m. Find the DIAMETER. SHOW ALL WORK
The volume of this cone is 83.7 cubic meters and the given height 5m then diameter 3.99 m.
What is Volume?
Volume is a measurement of three-dimensional space that is occupied. Numerous imperial or US customary units, as well as SI-derived units (such the cubic meter and liter), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch).
Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.
Given that ;
volume of cone = [tex]\pi r^{2} \frac{h}{3}[/tex]
volume of cone = 83.7 [tex]m^3[/tex]
height = 5m
to find diameter :
[tex]d = \sqrt{\frac{3\times V}{\pi \times h} }[/tex]
[tex]d=\sqrt{\frac{3\times 83.7}{3.14\times 5} }[/tex]
[tex]d = \sqrt{\frac{251.1}{15.7} }[/tex]
[tex]d = \sqrt{15.993}[/tex]
d = 3.99 m
Learn more about Volume click here:
https://brainly.com/question/1082469
#SPJ1
Which expression is equivalent to (6x^-9x) - (2x - 3)?
The equivalent expression of (6x² - 9x) - (2x -3) is 6x² - 11x + 3
What is an equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
In other words, equivalent expressions are expressions that have similar value or worth but do not look the same.
To find equivalent expression we can simplify the expression.
Therefore,
(6x² - 9x) - (2x -3)
open the brackets
6x² - 9x - 2x + 3
combine like terms
Therefore,
(6x² - 9x) - (2x -3) = 6x² - 11x + 3
learn more on equivalent expression here: https://brainly.com/question/6997280
#SPJ1
Factorise fully the following:
4x³ + 24x²
Answer:
4 x^3 + 24 x^2 = 4 (x^3 + 6 x^2) = 4 x^2 (x + 6)
4 x^2 (x + 6) seems to be the lowest factor
Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x + 4y = 16
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
6x + 4y = 16 ( subtract 6x from both sides )
4y = - 6x + 16 ( divide through by 4 )
y = [tex]\frac{-6}{4}[/tex] x + [tex]\frac{16}{4}[/tex] , that is
y = - [tex]\frac{3}{2}[/tex] x + 4 ← in slope- intercept form
a punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. how much of each ingredient would you need to make 75 quarts of punch?
50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that a punch recipe calls for 1(¹/₂) quart of sparkling water and 3/4 of a quart of grape juice.
The ratio of sparkling water to grape juice is,
1(¹/₂) : (3/4 quarts) = (3/2) : (3/4) = 2 : 1
The amount sparkling water in the total volume is 2 : (2+1) = 2/3 of the total volume. For a volume of 100 quarts, the sparkling water content is
2/3 · 75quarts = 50 quarts
Then the grape juice content is,
1/3 · 75 quarts = 25 quarts
Therefore, 50 quarts of sparking water and 25 quarts of grape juice are needed for 75 quarts of punch.
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ1
is the statement a valid null hypothesis?
A null hypothesis is a particular kind of statistical hypothesis that asserts that no statistical significance can be found in a given set of observations.
What is meant by null hypothesis?A null hypothesis is a particular kind of statistical hypothesis that asserts that no statistical significance can be found in a given set of observations. The use of sample data in hypothesis testing allows one to judge a hypothesis' veracity.
The null hypothesis states that the estimate is only based on chance. If the observed data (in the sample) do not differ from what would be predicted solely by chance, then the null hypothesis is true. The alternative hypothesis is what the null hypothesis has as its counterpart.
Two population parameters, such as an independent variable and a dependent variable, are said to be unrelated under the null hypothesis. It's possible that an experimental or sampling error caused the result if the hypothesis indicates a relationship between the two parameters.
To learn more about null hypothesis refer to:
https://brainly.com/question/4436370
#SPJ4
Find the difference 4 3/12 - 2 8/12
Answer:19/12 or 1 7/12
Step-by-step explanation:
51/12 - 32/12=19/12
1 7/12
Answer:
1 7/12
Step-by-step explanation:
4 3/12 - 2 8/12
First, subtract the integers:
2 3/12 - 8/12
Since 3/12 cannot subtract 8/12, we can take 1 from the 2 and turn it to 12/12 to add to our 3/12:
1 15/12 - 8/12
Simplify:
1 7/12
PLEASE MARK AS BRAINLIEST!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Time intervals = 14/7 = 2
Final Amount = 40(1/2)² = 10
Julio says, "If you subtract 17 from my number and multiply the difference by -3, the result is -9." What is Julio's number?
Answer:
23
Step-by-step explanation:
Taking an algebraic approach
let the number be n, then (n - 17) is 17 subtracted from the number, and -2(n - 17) = - 12 ( divide both sides by - 2 )n - 17 = 6 ( add 17 to both sides ) which is n=23
What is the measure of m? 28 n 7 m = 7√ [?] Give your answer in simplest form. I would really appreciate your help.
Answer:
[tex]7\sqrt{5}[/tex]
Step-by-step explanation:
Using the geometric mean theorem, [tex]n=\sqrt{28 \cdot 7}=14[/tex].
Using the Pythagorean theorem, [tex]m=\sqrt{7^2+14^2}=7\sqrt{5}[/tex]
The table shows the weights of apples at a grocery store.
Answer:
Is that all
_______
_______
does a gasoline additive improve mileage? drivers logged their mileage on a tank of gas with and without the additive. the sample of 10 drivers had an average difference (with additive - without) in mileage of 4.1 mpg with a standard deviation of 5 mpg. what is the test statistic for this test?
The test statistic for the given test is t = 2.59.
What is a standard deviation?
The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.
Given data:
[tex]\bar D[/tex] = 4.1, Sd = 5, n = 10, μd = 0
Now the test statistic can be computed as
[tex]t=\frac{\bar D-\mu_d}{S_d/\sqrt{n} }[/tex]
[tex]t=\frac{4.10-0}{5/\sqrt{10}} \\\\t=2.59[/tex]
Hence, the test statistic for the given test would be t = 2.59.
To learn more about standard deviation, visit:
https://brainly.com/question/475676
#SPJ4
Composition of functions worksheet
using f(x) = 8x squared and g(x) (2x+8), find:
The composition of the function are as follows:
(g ∘ g) (x) = 4x + 16
(f ∘ g) (x) = 16x + 64
f [g(7)] = 6x - 28
g [f(3)] = -30x - 10
What is a Composite Function?
If we are given two functions, we can compose one function into the other to produce a third function. The steps needed to complete this operation are the same as those needed to solve any function for any given value. These are referred to as composite functions.
We have,
i] f(x) = 8x and
g(x) = (2x+8)
(g ∘ g) (x) = g[g(x)]
Substitute x with (2x+8) in the function g(x) = (2x+8).
= 2((2x+8))+8
= 4x + 16
(f ∘ g) (x) = f [g (x)]
Substitute x with (2x+8) in the function f(x) = 8x.
(f ∘ g) (x) = 8(2x+8)
= 16x + 64
ii] f(x) = 6x + 2 and g(x) = x -5
f [g(7)] = 6(x-5) + 2
= 6x - 28
g [f(3)] = (6x + 2 ) - 5
= -30x - 10
Hence, the composition of the function is:
(g ∘ g) (x) = 4x + 16
(f ∘ g) (x) = 16x + 64
f [g(7)] = 6x - 28
g [f(3)] = -30x - 10
To learn more about the composition of the function visit,
https://brainly.com/question/10687170
#SPJ1
Write an equation for a rational function with:
Vertical asymptotes at x = -5 and x = -2
x intercepts at x = -1 and x = 6
y intercept at 4
y =
The rational equation with the desired asymptotes and intercepts is given by: f(x) = [-20(x²-5x-6)] / [3(x² 7x + 10)].
What are the asymptotes of a function f(x)?Vertical asymptotes are x values that are outside the domain and, in a fraction, are the denominator zeroes.
As long as this value differs from infinity, the horizontal asymptote is the value of f(x) as x approaches infinity.
The vertical asymptotes are related to the denominator roots, so:
f(x) = a / ( x + 5)( x + 2 )
f(x) = a / ( x² + 7x + 10 )
The x-intercepts are related to the function's numerator, so:
f(x) = [a( x + 1 )( x - 6) ] / [x² + 7x + 10 ]
The y-intercept is to find a, hence, when x = 0, y = 5, thus:
4 = a(-6)/ 10
a = (-40/6)
a = -20 / 3
The equation will be written as,
f(x) = [-20(x²-5x-6)] / [3(x² 7x + 10)].
To know more about asymptotes follow
https://brainly.com/question/28184934
#SPJ1
On the 5th grade class picnic , 50 students share 75 sandwiches equally. How many sandwiches does each student get
Answer:
75÷50
Step-by-step explanation:
1.5 or 3÷2 is the correct answer
the sum of two number 12 when three times the first number is added to 5 times the second number the results is 44
Answer:
one number is 8 and other is 4
Step-by-step explanation:
So we can say x+y=12.
And 3x+5y=44
For x+y=12, we can subtract x to get: y=12-x
Plug that in to get 3x+5(12-x)=44
3x+60-5x=44
Subtract 44: -2x+16=0
2x=16
x=8
12-8=4.
suppose you are performing a hypothesis test with σ unknown, n=22, α=0.05, and the following hypotheses: h0: μ = 24 h1: μ ≠ 24 what is the decision rule?
Reject H0 if the test statistic is less than -1.321 or greater than 1.321 .
What is a hypothesis simple definition?
A tested assertion regarding the relationship between two or more variables .
a theory put out to explain an observed occurrence is referred to as a hypothesis (plural: hypotheses) in a scientific context.
Reject H0 if the test statistic is less than -1.321 or greater than 1.321 .
Learn more about hypothesis
brainly.com/question/29519577
#SPJ4
The line graph below displays the average value of a 2000 Toyota Camry since the year 2000. A trendline has been added to the data. V represents value in dollars of the car and t represents the time in years since 2000.
a. Consider the variables “Value” and “time”. Which variable is the independent variable and which variable is the dependent variable?
b. Find an equation for the value as a function of the number of years since 2000.
c. Write a sentence that identifies and interprets the y intercept of the trendline. Use
appropriate units.
d. Write a sentence that identifies and interprets the slope of the trendline. Use
appropriate units.
e. Use the equation of the trendline to predict the value of the car in 2017. Use your
appropriate units. Show your work.
The evaluation of the trendline in line graph of the trendline displaying the value of a 2000 Toyota Camry since the year 2000 are as follows;
a. Independent variable; Time
Dependent variable; Value
b. The equation is; V = 22,500 - 1,166.[tex]\overline 6[/tex]·t
c. The y-intercept is at the point (0, 22,500), which indicates that the value of the 2000 Toyota Camry in the year 2,000 is $22,500
d. The slope of the trendline is -1,166.[tex]\overline {6}[/tex], which indicates that the annual reduction in the price of the 2000 Toyota Camry is $1,166.[tex]\overline 6[/tex]
e. The value of the car in 2017 based on the trendline is $2,666.[tex]\overline{6}[/tex]
What is a trendline in a graph or chart?A trendline is a line drawn through a scatterplot, minimizing the distances between the points in the chart and the line itself, and shows the trend of the scatterplot.
a. The independent variable is the variable that is the input variable of the function, which the researcher can vary or the value that is controlled.
Therefor;
The independent variable is the ''time''The dependent variable is the value under study, therefore;
The dependent variable is the ''Value''b. The points on the line graph are; (0, 22,500), and (15, 5,000), the slope is therefore;
m = (5,000 - 22,500)/(15 - 0) = -3,500/3
The equation is therefore;
V - 22,500 = -3,500/3·t
V = -3,500/3·t + 22,500
The equation for the value is; V = (22,500 -(3,500/3)·tc. The y-intercept of the trend line is (0, 22,500), which indicates that in the year 2,000, the price of the 2,000 Toyota Camry was $22,500
d. The slope of the trend line is -3,500/3 = -1,166.[tex]\overline 6[/tex], which indicates that the value of the Toyota Camry, 2000, reduces at a rate of $1,166.[tex]\overline 6[/tex], each year.
e. In the year 2017, t = 17, therefore;
V = 22,500 - (3,500/3) × 17 = 2,666.[tex]\overline {6}[/tex]
The price of the Toyota Camry 2000 in 2017 is $2,666.[tex]\overline{6}[/tex]Learn more about trendlines in graphs here:
https://brainly.com/question/1693411
#SPJ1
