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Delvig [45]
3 years ago
9

Alex wants to purchase a car. He begins to shop for an auto loan.

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0
I hope you get it right
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The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
A line passes through the point (3,9) and has a slope of 4
expeople1 [14]
Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.
7 0
3 years ago
Read 2 more answers
.
Anuta_ua [19.1K]
Lets say you have 5 apples, but the you give away 3 of them.
To work how many you have left you take away.
5-3 = 2

Lets apply this with fractions now.
You have 9/7 yard, but then you give away 7/20 yard.
Now you take them away:
9/7 minus 7/20 = 131/140

Hope this helps :)
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8 0
3 years ago
What is the rate of change between the interval of x = 3 pi over 2 and x = 2π?
galina1969 [7]
Check the picture below.

\bf slope = m = \cfrac{rise}{run} \implies &#10;\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby &#10;\begin{array}{llll}&#10;average~rate\\&#10;of~change&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;\begin{cases}&#10;x_1=\frac{3\pi }{2}\\&#10;x_2=2\pi &#10;\end{cases}\implies \cfrac{f(2\pi )-f\left( \frac{3\pi }{2} \right)}{2\pi -\frac{3\pi }{2} }\implies \cfrac{3-1}{\frac{4\pi -3\pi }{2}}\implies \cfrac{2}{\quad \frac{\pi}{2}\quad }\implies \cfrac{4}{\pi }

5 0
3 years ago
Read 2 more answers
Can someone tell me everything they know about Introducing Proportional Relationships?
Nookie1986 [14]

Answer:

1.Radius if half of diameter

2.If you want  to get to circumference it diameter x 3.14

3.To find area of circle r x r x 3.14

4.From circumferenc to diameter it is circumfrence

divided by 3.14

4 0
3 years ago
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