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larisa [96]
2 years ago
10

What is the equation of the line

Mathematics
1 answer:
kupik [55]2 years ago
8 0

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

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A rental car company charges $42.72 per day to rent a car and $0.10 for every mile driven. Zoey wants to rent a car, knowing tha
Colt1911 [192]

Answer:

7 Days

Step-by-step explanation:

Miles cost:

$0.10 * 200 = $20


Daily Cost

Her budget at this point is $330 because $350 - $20 (the miles)

$330 / 42.72  = Roughly 7.72

Therefore Zoey can drive for 7 days before her budget runs out.

6 0
2 years ago
Evaluate f (x) = 2x4 – 4x3 – 11x2 3x – 6 for x = –2. f (–2) =
Musya8 [376]
Hello,

After decrypting the question:

f(x)=2x^4-4x^3-11x^2+3x-6

f(-2)=2(-2)^4-4(-2)^3-11(-2)^2+3*(-2)-6=2*16+32-44-6-6=8

8 0
3 years ago
Read 2 more answers
Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in
otez555 [7]

The amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

{3} \times {1.24}=3.72 \text { liters}

Therefore, the total amount of paint mixture is the sum of blue paint and red paint.

\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is \dfrac{3}{4}.  

Now, as it is known that the fraction of blue paint to the total paint is \dfrac{3}{4} and the amount of paint in a container is 0.992 \text{ liters} then the blue paint in one container is calculated as,

\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}

Thus, the amount of blue paint in each of the five containers is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Learn more:  

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

3 0
3 years ago
Read 2 more answers
The point Z(5, -3) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, Z′?
g100num [7]

Answer:

(3, - 5 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ), hence

Z(5, - 3 ) → Z'(3, - 5 )

4 0
3 years ago
A. What is the monthly payment for a<br>$3,200 five-year loan with an APR of 3%.​
madreJ [45]

Answer:

$57.50

Step-by-step explanation:

we know that

The monthly loan payment formula is equal to

M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^{12t}}{(1+\frac{r}{12})^{12t}-1}

where

M ----> is the monthly payment

P ---> the amount borrowed

r ---> interest rate as decimal

t ---> length of the loan in years

we have

t=5\ years\\ P=\$3,200\\ r=3\%=3/100=0.03

substitute in the formula

M=\frac{3,200(\frac{0.03}{12})(1+\frac{0.03}{12})^{12(5)}}{(1+\frac{0.03}{12})^{12(5)}-1}

M=\frac{3,200(0.0025)(1.0025)^{60}}{(1.0025)^{60}-1}

M=\$57.50

4 0
2 years ago
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