Answer:
m=y2-y1/x2-x1 ⇒ m=-48+64/-15+21
m=16/6=8/3
y-y1/x-x1= m⇒ 8/3=y+64/x+21
8x+168=3y+192
3y=8x-24
x-intercept
3(0)=8x-24
x=24/8 →x=3
x-intercept: (3,0)
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simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2
Answer:
I did this same answer on another app
hope this help☺️
What is the equation of the graph?
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above
Given:
The graph of a scatter plot.
To find:
The function that best fits the given points.
Solution:
From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.
So, options B and C are incorrect because they represent exponential and quadratic function respectively.
Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).
Using this two points, the equation of line is:
[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=0.025(x-0.80)[/tex]
[tex]y+12.82=0.025x-0.02[/tex]
[tex]y=0.025x-0.02-12.82[/tex]
[tex]y=0.025x-12.84[/tex]
[tex]y=-12.84+0.025x[/tex]
It is the approximate function to the function that is in option A.
Therefore, the correct option is A.
I need help ASAP!! Please help me
Answer:
Step-by-step explanation:
Answer:
angle 1 = 80
angle 2 = 80
Step-by-step explanation:
in rhombus all sides are equal and also diagonals bisects each other
so
I just need to find that last box guys please help me solve this
Answer:
Step-by-step explanation:
y = 600 * (1.04)¹⁵
= 600 * 1.80094351
= $ 1080.57
Find the nth term of 4,8,14,22
Answer:
2n+2
Step-by-step explanation:
the common difference is 4,6,8
again the common difference of 4,6,8 is 2,2
hence its common difference is 2
now, nth term,=a+(n-1) *d
4+(n-1)*2
4+2n-2
2n+2
If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )
[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]
[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]
[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]
[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]
[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]
[tex]\\ \sf\longmapsto x-y=0[/tex]
Now
[tex]\\ \sf\longmapsto 4x-4y-4[/tex]
take 4common[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]
Put the value[tex]\\ \sf\longmapsto 4(0-4)[/tex]
[tex]\\ \sf\longmapsto 4(-4)[/tex]
[tex]\\ \sf\longmapsto -16[/tex]
Write the phrase as a variable expression. Use x to represent "a number."
5) The quotient of a number and 9, decreased by 4
Answer:
a/9 - 4
Step-by-step explanation:
The expression will be (x/9) - 4.
It is given that a number x is the quotient of a number and 9 decreased by 4.
We have to find the variable expression for this.
What will be the expression for , 2 times of a number minus 4 ?
The expression will be 2x -4.
Quotient of a number and 9
= x / 9
Decrease this by 4 ; we get
= (x / 9 ) - 4
Thus , the expression will be (x/9) - 4.
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I need help ASAP!!! Please explain how to solve the problem I am stuck with.
Answer:
Step-by-step explanation:
An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer: x = 7
Step-by-step explanation:
6(2x-11)+15=3x+12
1) Distribute 6 (distributive-property)
12x - 66 + 15 = 3x + 12
12x - 51 = 3x + 12
Subtract 12 from both sides; what ever you do to one side, you need to do to ther other.
12x - 63 = 3x
Subtract 3x from both sides.
9x - 63 = 0
Add 63 to both sides.
9x = 63
Divide by 9 to getx by itself.
63/9 = 7
x = 7
The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.
Answer:
A statistical method to identify cost behavior.
Step-by-step explanation:
Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
Which expression is equivalent to 2(14x-3y+28+12.2-5y-17.5)
Answer:
28x-16y+45.4
Step-by-step explanation:
Add up all the variables inside the bracket by first grouping like terms
Then, multiply through by 2 ✅✅
0.3 (4 - x) =x - 1.4
Answer:
x = 2
Step-by-step explanation:
0.3 (4 - x) = x - 1.4
1.2 - 0.3x = x - 1.4
-0.3x - x = -1.4 - 1.2
-1.3x = -2.6
x = 2
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} 0,3(4-x)=x-1,4 \\\\1,2-0,3x=x-1,4 \\\\x+0,3x=1,2+1,4\\\\1,3x=2,6 \\\\\underline{x=2 \ \ \ \ \ \ \ } \\\\0,3(4-2)=2-1,4 \\\\2\cdot 0,3=0,6 \\\\0,6=0,6[/tex]
Find the area of the shape shown below.
this is on khan academy
Answer:
42 units^2
Step-by-step explanation:
Break this into a rectangle and a triangle
The rectangle is 12 by 1
A = l*w = 12*1 =12
The triangle has a base of 6-1 =5 and a height of 12
A = 1/2 bh = 1/2 (5)*12 = 30
Add the areas together
12+30 =42
Answer:
[tex]42 \: {units}^{2} [/tex]
Step-by-step explanation:
First divide the shape into triangle and a rectangle
then find the Area of the triangle and the rectangle separately
Area of the rectangle
[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]
Area of the triangle
[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]
Area of the shape
[tex]12 + 30 = 42 \: {units}^{2} [/tex]
Given that h(x) = - (x - 1)^2 - 1, write an expression for f(x) in terms of x.
f(x) =
Answer: f(x) = -(x-1)^2+5
Explanation:
f(x) = h(x) + 6
f(x) = -(x-1)^2 - 1 + 6
f(x) = -(x-1)^2+5
Must click thanks and mark brainliest
If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)
Answer:
8.1 = LM
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
13 * 5 = LM^2
65 = LM^2
sqrt(65) = LM
8.06225 = LM
To one decimal place
8.1 = LM
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent
The question given is incomplete as the information about the headphones isn't given.
However, we can solve the problem by using hypothetical values.
Answer:
Kindly check explanation
Step-by-step explanation:
Given
Write the ratio of detective headphones to total headphones in the sample. Then write the ratio as a decimal and as a percent.
Let :
The number of defective headphones = 10
The total number of headphones on the sample = 50
To express as a ratio :
Defective headphones : total headphones
10 : 50 = 1 : 5
To express as a percentage ;
1 / 5 * 100% = 20%
For which of the following intervals is the graph decreasing?
O A. -2
OB.-4
C. -8 < X <-5
OD. 6
If you know the answer can you please walk me through how you got it.
Answer: Choice B
1 & 3/4
=============================================
Explanation:
Rewrite 1/2 into 4/8 so that it has the same denominator as 7/8.
Now that the denominators are the same, we focus on the numerators. This is because the equal denominators cancel out when we divide the fractions later on.
We'll divide the numerators 7 and 4 to get
7/4 = (4+3)/4
7/4 = (4/4) + (3/4)
7/4 = 1 + (3/4)
7/4 = 1 & 3/4
Meg can get 1 & 3/4 servings from the jug.
If necessary, write in simplest radical form
Answer:
2*sqrt(5)
Step-by-step explanation:
By using Pythagoras theorem, we have
4^2+2^2=(the third side)^2
16+4=(the third side)^2
Third side=sqrt(20)=2*sqrt(5)
In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly $3$ times
Answer:
In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.
See the attached image for step by step explanation of the final probability
Select all sets in which the number - 12 is an element.
A. real numbers
B. whole numbers
C. integers
D. irrational numbers
E. natural numbers
F. rational numbers
Help plz
real numbers, integers, rational numbers
=========================================================
Explanation:
So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.
So that's why -12 is a real number.
Choice A is one of the answers
---------------
The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values
{..., -3, -2, -1, 0, 1, 2, 3, ...}
That makes -12 an integer
Choice C is one of the answers
----------------
The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1
This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.
------------------
We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.
The requried, -12 is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.
What is a number system?A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
Here,
Only sets that consist of negative values are, real numbers, integers, and rational numbers.
So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.
Thus, the requried, -12 is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.
Learn more about the number system here:
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Which two repeating decimals are equivalent to 10/11 A b c or D
Answer:
I think it is 0.909090909090. Hope this helped.
Step-by-step explanation:
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?
the answer to this question is the slope is 43
Answer:
Therefore, the slope is 3/4
Step-by-step explanation:
An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)
Likewise, an
y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)
Now we have two points(4,0) (0,-3)
To find the slope given two points, we use the formula
rise÷run , or y2−y1÷x2−x1 .
Plug in the given points into the formula
-3-0/0-4
-3/-4
3/4
Therefore, the slope is 3/4
Hope this helps!
Please help quick pleaseeeeeeeeeeee
Answer:
think this one
Step-by-step explanation:
the answers there
i think
Convert 7.5 gallons to quarts using a unit multiplier.
Answer:
7.5 Imperial Gallons = 30 Imperial Quarts
Hi there!
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I believe your answer is:
30 qt.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
There are 4 quarts in a gallon.7.5 * 4 = 30
7.5 gal. = 30 qt.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Prove hat the ditance between any two points inside triangle ABC is not greater than half the perimeter of ABC
Answer:
It is not because the half the perimeter is not only one side but another half side of the triangle, and the distence between two points in a triangle can never become longer then the length of one side.
Step-by-step explanation:
The math part I am unsure of because you did say prove but let me know if this helps. Thanks!
The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used
Answer:
Martin family: 20 hours
Lewis family: 35 hours
Step-by-step explanation:
Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .
We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350
L + M = 55
30 * L + 15 * M = 1350
One way to solve this would be to solve for L in the first equation and substitute that into the second
subtract M from both sides in the second equation
55 - M = L
30 * (55-M) + 15 * M = 1350
30 * 55 - 30 * M + 15 * M = 1350
1650 - 15M = 1350
subtract 1650 from both sides to isolate the M and its coefficient
-15M = -300
divide both sides by -15 to isolate M
M = 20
L = 55-20 = 35
NEED HELP ASAP!
Slove for x.
A.4
B.10
C.8
D.7
i think it 10 because the angle your looking at is x is 7
Find the slope and the y-intercept of the line.
- 3x - 4y= -20
Write your answers in simplest form.
Answer:
The slope is -3/4 and the y intercept is 5
Step-by-step explanation:
- 3x - 4y= -20
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Solve for y
Add 3x to each side
- 3x - 4y+3x=3x -20
-4y = 3x-20
Divide by -4
-4y/-4 = 3x/-4 -20/-4
y = -3/4 x+5
The slope is -3/4 and the y intercept is 5
Answer:
Slope: [tex]\displaystyle-\frac{3}{4}[/tex]
Y-intercept: 5
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
[tex]-3x-4y=-20[/tex]
To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.
Add 3x to both sides:
[tex]-3x-4y+3x=-20+3x\\-4y=3x-20[/tex]
Divide both sides by -4:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
Now, we can identify [tex]\displaystyle-\frac{3}{4}[/tex] to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
[tex]y=mx+b[/tex]
I hope this helps!
