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Goshia [24]
3 years ago
5

Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0
So basically find 77% of the 22000 and then subtract that answer from 22000
Welcome
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Triangle ABC is labeled with points A(5, 2), B(1, 2) and C(3, 6) on a coordinate plane. Find the coordinates of A' B' C' after a
Ilia_Sergeevich [38]

Answer:

After reflection over the x-axis, we have the coordinates as follows;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

Step-by-step explanation:

Here, we want to find the coordinates A’ B’ and C’ after a reflection over the x-axis

By reflecting over the x-axis, the y-coordinate is bound to change in sign

So if we have a Point (x,y) and we reflect over the x-axis, the image of the point after reflection would turn to (x,-y)

We simply go on to negate the value of the y-coordinate

Mathematically if we apply these to the given points, what we get are the following;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

4 0
3 years ago
Find the x and y intercepts for the equation 3x-2.5y = 30.
Dmitry_Shevchenko [17]
Answer: x-int = 10 and y-int = -12

Explanation:

Find x intercept:

To find x intercept set y = 0

3x - 2.5(0) = 30

3x = 30
x = 10

Find y-int:
Set x = 0

3(0) - 2.5y = 30
-2.5y = 30
y = 30/-2.5
y = -12
7 0
3 years ago
Read 2 more answers
Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.
grigory [225]
ANSWER

B,C,E \: and \: F



EXPLANATION

The given equation is
3x + 2y =  - 12

The solution to this equation can be found by making y the subject.

\Rightarrow \: 2y =  - 3x - 12


\Rightarrow \: y =  -  \frac{3}{2} x - 6
This equation has infinitely many solution. Any real value we choose for x, there is a corresponding y-value.



To find which of the given options also has the same solution, we make y the subject.


A

3x - 2y = 12


\Rightarrow \:  - 2y =  - 3x  +  12


\Rightarrow \: y =   \frac{3}{2} x   - 6


This is not the same as the given equation.


B


- 3x - 2y = 12


\Rightarrow \:  - 2y =   3x  +  12


\Rightarrow \: y =   -  \frac{3}{2} x   -  6

This solution is the same as the one given.




C.
15x + 10y =  - 60


\Rightarrow \: 10y =  - 15x - 60



\Rightarrow \: y =  -  \frac{15}{10} x -  \frac{60}{10}


\Rightarrow \: y =  -  \frac{3}{2} x - 6


This is the same as the above solution.


D.
6x + 2y =  - 12



\Rightarrow \: 2y =  - 6x - 12


\Rightarrow \: y =  -  3 x - 6

This is not the same as the one given.


E.

6x + 4y =  - 24


\Rightarrow \: 4y =  - 6x - 24


\Rightarrow \: y =  -  \frac{6}{4} x -  \frac{24}{4}

\Rightarrow \: y =  -  \frac{3}{2} x - 6

This is the same as the one given.


F.

1.5x + y =  - 6


\Rightarrow \: y =  - 1.5x - 6


\Rightarrow \: y =  -  \frac{3}{2} x - 6

Thus is the same as the one given.



G.
x +  \frac{2}{3} y =  - 12


\Rightarrow \:  \frac{2}{3} y =  - x - 12


\Rightarrow \: y =  -  \frac{3}{2} x - 12 \times   \frac{3}{2}

\Rightarrow \: y =  -  \frac{3}{2} x - 18


This is not the same as the one given.



4 0
3 years ago
Read 2 more answers
A line is graphed through points at (4, 5) and (8 10). What is the ordered pair of the unit rate?
Phoenix [80]

Answer:

(2,4)

Step-by-step explanation:

3 0
4 years ago
Find the solution set.<br> 8x^2+7x-1=0
Likurg_2 [28]

Answer:

x = - 1, x = \frac{1}{8}

Step-by-step explanation:

Given

8x² + 7x - 1 = 0 ← in standard form

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 8 × - 1 = - 8 and sum = + 7

The factors are + 8 and - 1

Use these factors to split the x- term

8x² + 8x - x - 1 = 0 ( factor the first/second and third/fourth terms )

8x(x + 1) - 1(x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(8x - 1) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

8x - 1 = 0 ⇒ 8x = 1 ⇒ x = \frac{1}{8}

3 0
3 years ago
Read 2 more answers
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