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Tcecarenko [31]
4 years ago
5

The Thompson family is buying a car that can travel 70 miles on two gallons of gas. Assume that the distance traveled in miles y

varies directly with the amount of gas used x. This can be represented by y=35x. Graph the equation on the coordinate plane. How many miles does the car per gallon of gas?

Mathematics
1 answer:
artcher [175]4 years ago
6 0
70/2 = 35

The car gets 35 miles per gallons.

You can also find that out by looking at the slope of the equation. y = 35x. 35 is the slope here.

For your graph, plot the points:
(0,0)
(1,35)
(2,70)
(3,105)
(4,140)
(5,175)
(6,210)
(7,245)
(8,280)

And then draw a line through the points.

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A ball is thrown upward with an initial velocity of 16 ft/sec from a height of 32 ft above the ground. The height, in feet, of t
GaryK [48]

Answer:  2 seconds.

Step-by-step explanation:

Given : A ball is thrown upward with an initial velocity of 16 ft/sec from a height of 32 ft above the ground.

The height, in feet, of the ball t sec after it is thrown can be represented by

s=-16t^2+16t+32.

When ball reaches the ground , s= 0.

\Rightarrow -16t^2+16t+32=0

Divide both sides by 16 , we get

-t^2+t+2=0\\\\\Rightarrow\ t^2-t-2=0\\\\\Rightarrow\ t^2-2t+t-2=0\\\\\Rightarrow\ (t-2)(t+1)=0 \\\\\Rightarrow\ t=2,-1

But time cannot be negative , so t= 2.

Hence , it will take 2 seconds for the ball to reach the ground.

8 0
3 years ago
How to solve this. Help please
Vaselesa [24]
Hello here is a solution : 

3 0
3 years ago
9) If x=-4 is a zero of a polynomial p(x), then the zero of p(x² - 6x + 5) is​
spin [16.1K]

If x=-4 is a zero of p(x), then we can write

p(x) = (x + 4) q(x)

for another polynomial q(x).

Note that x^2 - 6x + 5 = (x - 5)(x - 1). Then

p(x^2 - 6x + 5) = p\bigg((x-5)(x-1)\bigg) \\\\ ~~~~~~~~~~~~ = ((x - 5)(x-1) + 4) q\bigg((x-5)(x-1)\bigg) \\\\ ~~~~~~~~~~~~ = (x^2 - 6x + 9) q(x^2 - 6x + 5) \\\\ ~~~~~~~~~~~~ = (x - 3)^2 q(x^2 - 6x + 5)

so that \boxed{x = 3} is a root of p(x^2 - 6x + 5).

5 0
2 years ago
Help me pleaseee !!!!
Marysya12 [62]

Answer:

They would have the same amount of baseball cards after 9 weeks/in 10th week

4 0
3 years ago
Please help me i can’t do it thank you
Marina86 [1]
25% of 12=3
30% of 20=6
85% of 100=85
90 of 200=180
25 of 28=7
45 of 80=36
8 0
4 years ago
Read 2 more answers
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