Answer:
the first difference are all 20. (increases by 20 per week)
since the first differences of this relation are constant, it is a linear relation
It is possible to get two solutions when solving a radical equation.
True or false
yes it is possible, although it doesn't always occur.
Your answer is: True
What is the solution of the system of equations?
nd
y = -2x + 8
y = x - 4
Answer: x=4
Step-by-step explanation:
Concept:
There are three ways to solve the system of equations
SubstitutionElimination GraphingHere, we would use substitution because we have two same variables.
--------------------------------------------------------------------------------------------------
Solve:
Given
y = -2x + 8
y = x - 4
Substitute
-2x + 8 = x - 4
Add 4 on both sides
-2x + 8 + 4 = x - 4 + 4
-2x + 12 = x
Add 2x on both sides
-2x + 12 + 2x = x + 2x
12 = 3x
Divide 3 on both sides
12 / 3 = 3x / 3
x = 4
Hope this helps!! :)
Please let me know if you have any questions
math math uhhh i no like math
n33d h319 pls
hope it helps✓✓✓✓✓✓✓✓✓
Answer: A for 10
Step-by-step explanation:
Some students were asked how many pens they were carrying in their backpacks. The data is given in this frequency table. What is the mean number of pens carried by these students in their backpacks?
A. 3
B. 3.5
C. 4
D. 4.5
Answer:
4
Step-by-step explanation:
Mean: the sum of all numbers divided by the amount of numbers
In this case it will be the sum of all frequency divided by the amount of pens
Mean = 5 + 7 + 3 + 5 + 3 + 2 / 6
Mean = 25/6
Mean = 4.16
The mean is approximately 4
The digits 1, 7, and 8 and 2 copies of the digit 5 are all arranged to form a 5-digit integer. How many different integers can be formed?
Step-by-step explanation:
You have 5 digits.Youdonot say if duplication is allowed. I will assume not
For the first digit you have 5 choices. One of the 5 digits is gone.
You now have 4 digits to choose from. You pick one. Now you have but 3 left.
The total answer if 5*4*3*2*1 = 120
express the equation for
[tex] \frac{15y - 10}{3x} [/tex]
=6 in the form of mx+b
Answer:
is it 6 with the 10
Step-by-step explanation:
Answer:
y = 6/5 x + 2/3
Step-by-step explanation:
A equation is given to us and we need to express it in , mx + b form . The given equation to us is,
[tex]\rm\implies 6 = \dfrac{15y - 10}{3x} [/tex]
Move 3x to LHS , we will get ,
[tex]\rm\implies 6 * 3x = 15y - 10 \\\\\rm\implies 18x = 15y - 10 \\\\\rm\implies 15y = 18x + 10 \\\\\rm\implies y =\dfrac{18x+10}{15} \\\\\rm\implies \boxed{ \bf y = \dfrac{6}{5}x + \dfrac{2}{3}}[/tex]
This is the required answer .
By selling a printer at Rs 15000 and Rs 18000, some lass and some profit are happened respectively. If the loss is one forth of profit, find its cost price
Answer:
Loss= x
profit=y
x=1/4y
4x=y
Let cost = c
c-x= 15000
c+4x=18000
c+4x-(c-x)=18000-15000
5x=3000
x=600
c-x=15000
c-600=15000
c=15600
c+4x=18000
c+2400=18000
c=15600
Cost= Rs15600
Brainliest please
The area of a circle is 80.86cm2.
Find the length of the radius rounded to 2 DP.
Answer:
Solution given:
The area of a circle =80.86cm²
we have:
The area of a circle =πr²
substituting value of area of circle we get
80.86cm=3.14*r²
dividing both side by 3.14
80.86/3.14=3.14*r²/3.14
25.75=r²
doing square root on both side
[tex]\sqrt{25.75}=\sqrt{r²}[/tex]
r=5.07cm
The length of radius is 5.07cm
The length of the radius is 5.07 cm.
What is the area of the circle?The area of the circle is given by;
[tex]\rm Area \ of \ circle=\pi r^2\\\\Where: \ r = radius[/tex]
The area of a circle is 80.86cm^2.
The length of the radius is;
[tex]\rm Area \ of \ circle=\pi r^2\\\\ 80.86=\pi r^2\\\\r^2=\dfrac{80.86}{3.14}\\\\r^2=25.75\\\\r=5.07[/tex]
Hence, the length of the radius is 5.07 cm.
Learn more about radius here;
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solve h(x)=x^2-2x-8>7
Answer:
x < -3 and x > 5
Step-by-step explanation:
x² - 2x - 8 > 7
~Rewrite in standard form
x² - 2x - 15 > 0
~Factor
(x + 3)(x - 5) = 0
~Solve for both factors
x + 3 = 0
x = -3
x - 5 = 0
x = 5
Best of Luck!
Which expression is equivalent to (StartFraction (2 a Superscript negative 3 Baseline b Superscript 4 Baseline) squared Over (3 a Superscript 5 Baseline b) Superscript negative 2 Baseline EndFraction) Superscript negative 1? Assume
Answer:
7
Step-by-step explanation:
when dividing exponents of the same base, subtract the exponents.
b^4 / b^(-3) = b^(4-(-3)) = b^7
Answer:
7
Step-by-step explanation:
In a division , subtract the exponents.
b^4/b^-2 = b^[4 - (-3)] = b^(4 + 3) = b^7
Answer: 7
hey there!! time sensitive, pls help
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the function is not given. A little explanation to assist you is as follows;
From the attached image, one can sense that the function is a piece-wise function.
Now, assume the function is as follows:
[tex]f(x) =\left \{ {{2x + 1\ -1 < x < 3} \atop {4x + 7, x \ge 3}} \right.[/tex]
To calculate f(2), we make use of:
[tex]f(x) =2x + 1[/tex] [tex]-1 < x < 3[/tex]
Because 2 is within [tex]-1 < x < 3[/tex]
So:
[tex]f(2) = 2 * 2 + 1 =5[/tex]
Similarly, to calculate f(3)
We make use of
[tex]f(x) = 4x + 7[/tex]
Because 3 is within [tex]x\ge 3[/tex]
So:
[tex]f(3) = 4 * 3 + 7 =19[/tex]
geometry, trigonometry
Answer:
Hello
Answer B: 32.58°
Step-by-step explanation:
[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]
Find the length of side x in simplest radical form with a rational denominator
Answer:
x = 2
Step-by-step explanation:
The triangle has two congruent legs
For the Pythagorean theorem we have:
x^2 + x^2 = 8
2x^2 = 8
x^2 = 4
x = 2
y=x²+4x-3 y=5x+3 solve the simultaneous equation
Answer:
(-2, -7) or (3, 18)
Step-by-step explanation:
Start with your 2 equations
y = x^2 + 4x - 3
y = 5x + 3
Because both equal y, we substitute:
x^2 +4x -3 = 5x+ 3
x^2 - x - 6 = 0
Factor:
(x + 2) (x - 3) = 0
Solutions for x: -2 or 3 since if either of the numbers in parentheses is 0, the equation is 0 (0* anything = 0).
Then plug -2 in for x in either equation:
y = 5* -2 + 3
y = -7
So ( -2, -7) is a solution.
Plug 3 in for x in either equation:
y = 5*3 + 3
y = 18
So ( 3 , 18) is a solution.
Hope that helps, let me know if I did anything wrong!
Answer:
(- 2, - 7 ) and (3, 18 )
Step-by-step explanation:
Given the 2 equations
y = x² + 4x - 3 → (1)
y = 5x + 3 → (2)
Substitute y = x² + 4x - 3 into (2)
x² + 4x - 3 = 5x + 3 ( subtract 5x + 3 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Substitute these values into (2) for corresponding values of y
x = - 2 : y = 5(- 2) + 3 = - 10 + 3 = - 7 ⇒ (- 2, - 7 )
x = 3 : y = 5(3) + 3 = 15 + 3 = 18 ⇒ (3, 18 )
A line intersects the points (-2,5) and (6,5) What is the slope-intercept equation for the slope
Answer:
Step-by-step explanation:
(y2-y1)/(x2-x1)
Solve for the value of x
Answer:
x = 2
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord , that is
12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let ([tex]secant_A[/tex]) and ([tex]secant_B[/tex]) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
Use this formula in the given situation, substitute the given values in and solve for the unknown,
[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]
[tex](6)(x+2)=(12)(x)[/tex]
Simplify,
[tex](6)(x+2)=(12)(x)[/tex]
[tex]6x+12=12x[/tex]
[tex]12=6x[/tex]
[tex]x=2[/tex]
Find f(-2) for f(x) = 2•3^x
Answer:
2/9
Step-by-step explanation:
f(x) = 2•3^x
Let x = -2
f(-2) = 2•3^-2
We know that a^-b = 1/a^b
f(-2) = 2• 1/3^2
= 2/9
f(x) = 2 * 3^x
f(-2) = 2 * 3^-2
f(-2) = 2 * 1/3^2
f(-2) = 2 * 1/9
f(-2) = 2/9
Hope this helps!
Nicole took her dog for a walk. She left at 4:55 P.M. and walked around the neighbourhood and through the park. She got home at 6:25 P.M. How long did Nicole walk her dog?
Answer:
the answers is 1 and half hour
Answer:
two hour twentyeight minutes
NEED HELP WITH BOTH PARTS URGENTLY‼... FIND THE COORDINATES OF THE POINT WHERE y-4x=1 crosses the y-axis
THE DIAGRAM SHOWS THE GRAPH OF Y = 2x + c , where c is constant.
a) (0, 1)
The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).
y - 4x = 1
y = 4x + 1
The y-intercept is (0,1).
b) k = 6.5
We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).
Therefore, our line is y = 2x - 3.
Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).
10 = 2x - 3
13 = 2x
x = 6.5
Hope this helps!
how many metres are there in ½ of ⅕ km
Step-by-step explanation:
1/5=1/5×1000=200
1/2 of 200
1/2×200=100
−8.3 + 9.2 − 4.4 + 3.7
Answer:
1.2
Step-by-step explanation:
- 8. 3 + 3. 7 = -4
-4 - 4 .4 = - 8. 4
-8.4 + 9.2 = 1.2
4. Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 119.90
a = 4.7 km
b = 8.1 km
Answer:
The missing parts of the triangle are [tex]c \approx 11.2\,km[/tex], [tex]A\approx 21.3^{\circ}[/tex] and [tex]B \approx 38.8^{\circ}[/tex], respectively.
Step-by-step explanation:
A triangle is formed by three sides and three angles, a side and two angles are missing ([tex]c[/tex], [tex]A[/tex], [tex]B[/tex]).
The length of the missing side is found by the Law of Cosine:
[tex]c = \sqrt{a^{2}+b^{2}-2\cdot a \cdot b\cdot \cos C}[/tex] (1)
([tex]a = 4.7\,km[/tex], [tex]b = 8.1\,km[/tex], [tex]C = 119.90^{\circ}[/tex])
[tex]c = \sqrt{(4.7\,km)^{2}+(8.1\,km)^{2}-2\cdot (4.7\,km)\cdot (8.1\,km)\cdot \cos 119.90^{\circ}}[/tex]
[tex]c \approx 11.2\,km[/tex]
And the missing angles can be determined by the Law of Sine:
[tex]\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}[/tex]
([tex]a = 4.7\,km[/tex], [tex]b = 8.1\,km[/tex], [tex]c \approx 11.210\,km[/tex], [tex]C = 119.9^{\circ}[/tex])
[tex]A \approx \sin^{-1}\left(\frac{a}{c} \times \sin C \right)[/tex]
[tex]A \approx \sin^{-1} \left(\frac{4.7\,km}{11.210\,km}\times \sin 119.9^{\circ} \right)[/tex]
[tex]A\approx 21.3^{\circ}[/tex]
[tex]B \approx \sin^{-1} \left(\frac{b}{c}\times \sin C \right)[/tex]
[tex]B\approx \sin^{-1}\left(\frac{8.1\,km}{11.210\,km}\times \sin 119.9^{\circ} \right)[/tex]
[tex]B \approx 38.8^{\circ}[/tex]
The missing parts of the triangle are [tex]c \approx 11.2\,km[/tex], [tex]A\approx 21.3^{\circ}[/tex] and [tex]B \approx 38.8^{\circ}[/tex], respectively.
write an equation
of the line in slope - Intercept form
(8,3) (0,-5)
Answer:
y=x-5
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through the points (8,3) and (0,-5) in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept
So let's first find the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, but let's label the values of the points to avoid any confusion
[tex]x_1=8\\y_1=3\\x_2=0\\y_2=-5[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5-3}{0-8}[/tex]
Subtract
m=[tex]\frac{-8}{-8}[/tex]
Simplify
m=1
The slope is 1
Here is the equation of the line so far:
y=1x+b (can also be written as y=x+b)
We need to find b
The equation passes through both (8, 3) and (0, -5), so we can substitute the values of either one of them as x and y to solve for b
Let's take (8, 3) for example
Substitute 8 as x and 3 as y
3=1(8)+b
Multiply
3=8+b
Subtract 8 from both sides
-5=b
Substitute -5 as b into the equation
y=x-5
Hope this helps!
6.7.37
Question Help
Ay
60
a
A teenager starts a company selling personalized coffee mugs. The profit
function, in dollars, for producing and selling x mugs is
f(x) = -0.4x?
+ 12x-50, whose graph is shown.
40-
20-
0
TO
-20-
20
a. What are the start-up costs for the teenager's company?
b. How many mugs must the teenager sell before she breaks even?
c. How many mugs will give the maximum profit?
d. What will the profit be if she sells 10 mugs?
30
-407
-60-
Answer:
a. The start-up cost for the teenagers company is $50
b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs
c. The number of mugs that will give maximum profit is 15 mugs
d. The profit if she sells 10 mugs is $30
Step-by-step explanation:
The given profit function for selling x number of mugs is presented as follows;
f(x) = -0.4·x² + 12·x - 50
a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;
Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50
The negative sign represents amount put in the business
The start-up cost = (The initial) $50 put into the business.
b. The break even point is the point where, the revenue and costs are equal
At break even point; Revenue = Cost
∴ Profit, at break even point, f(x) = Revenue - Cost = 0
From the profit function, we get;
At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50
Dividing by -0.4 gives;
0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125
0 = x² - 30 + 125
∴ (x - 25)·(x - 5) = 0
The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.
c. From the general form of a quadratic equation, which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)
Comparing the profit function to the general form of the quadratic equation we have at the maximum point;
x = -12/(2×(-0.4)) = 15
Therefore, the number of mugs that will give maximum profit, x = 15 mugs.
d. The profit from selling 10 mugs, f(10) is given as follows;
f(10) = -0.4 × 10² + 12 × 10 - 50 = 30
The profit from selling 10 mugs, f(10) = $30
write equation!!
twice the difference of a number and seven equals five 
Answer:
Its either 2(A+7=5) or 2(A+7) =5
The selling price of an apartment dropped from 250,000 to 225,000. By What percent did the price drop?
Answer:
10%
Step-by-step explanation:
The percentage decrease in price = [tex]\frac{decrease amount}{original amount}[/tex] x 100%
Original amount = 250,000
New amount = 225,000
Decrease in amount = 250,000 - 225,000
= 25,000
So that;
Percentage decrease in price = [tex]\frac{25000}{250000}[/tex] x 100%
= 0.1 x 100%
Percentage decrease in price = 10%
The price of the apartment dropped by 10% of its original price.
What is the value of y?
Answer:
D. 68 degrees
Step-by-step explanation:
Remember, the total degree of a triangle is 180 degrees, not 360 like a rectangle.
To solve, set up an equation.
[tex]y+(y-12)+56=180[/tex]
Solve:
[tex]2y+44=180[/tex]
Subtract 44 from both sides
[tex]2y=136[/tex]
Divide both sides by 2
y=68
I hope this helps!
Answer:
68
Step-by-step explanation:
The sum of the angles of a triangle add to 180
y + y-12 +56 = 180
Combine like terms
2y+ 44 = 180
Subtract 44 from each side
2y+44 = 180-44
2y = 136
Divide by 2
2y/2 = 136/2
y = 68
FOR BRAINLIEST ASAP!!!
Jean bought an mp3 player and a calculator for a total of $208. the mp3 player cost $140 more than the calculator, what did the calculator cost
Answer:
Calculator cost = $34
Step-by-step explanation:
x + (x+140) = 208
2x + 140 = 208
x=34
The sum of three consecutive numbers is 117.what is the largest of the three numbers?write an equation to represent this scenario and solve for the variable
Answer:rrrrrrrr
rrrrrrrrrr
Step-by-step explanation:
rrrrrrrrrrrrrrr
The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let x be the first number:
The other numbers are:
x+1, x+2
The sum of three consecutive numbers is 117:
x + x+1 + x+2 = 117
3x + 3 = 117
3x = 114
x = 38
x+ 1 = 38+1 = 39
x+2 = 38+2 = 40
Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.
Learn more about the linear equation here:
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The equation 9 y minus 6 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for x? Divide both sides of the equation by 36. Multiply both sides of the equation by 6. Add 9y to both sides of the equation. Subtract 9y from both sides of the equation.
Answer:
D. Subtract 9y from both sides of the equation.
Step-by-step explanation:
A. Divide both sides of the equation by 36.
B. Multiply both sides of the equation by 6.
C. Add 9y to both sides of the equation.
D. Subtract 9y from both sides of the equation.
Given:
9y - 6x = 36
To solve for x
Step 1: subtract 9y from both sides
9y - 6x - 9y = 36 - 9y
- 6x = 36 - 9y
Step 2: Divide both sides by -6
- 6x / -6 = (36 - 9y) / - 6
x = (36 - 9y) / - 6
The answer is
x = (36 - 9y) / - 6
Answer:
d
Step-by-step explanation: