Answer:
175+ braniliest pls
Step-by-step explanation:
175+
Answer:
375 miles
Step-by-step explanation:
Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:
= ![\frac{x}{12.5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12.5%7D)
Cross multiply and solve for x:
3.2x = 1200
x = 375
So, with 12.5 gallons of gas, Sara can drive 375 miles
Either 7x or -3x hope this helps hun!!
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
The slope is ...
m = (7 -7)/(0 -4) = 0
The y-intercept is the point (0, 7), so the slope-intercept equation is ...
y = mx +b
y = 0·x +7
Simplifying this puts it in standard form:
y = 7
Answer:
12 feet per second.
Step-by-step explanation:
Please consider the complete question.
Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented
.
What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?
We will use average rate of change formula to solve our given problem.
![\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
![\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7Bh%28%5Cfrac%7B1%7D%7B2%7D%29-h%280%29%7D%7B%5Cfrac%7B1%7D%7B2%7D-0%7D)
![\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B-16%5Ccdot%28%5Cfrac%7B1%7D%7B2%7D%29%5E2%2B20%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D-%28-16%5Ccdot%280%29%5E2%2B20%5Ccdot%20%280%29%29%7D%7B%5Cfrac%7B1%7D%7B2%7D-0%7D)
![\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B-16%5Ccdot%5Cfrac%7B1%7D%7B4%7D%2B10-%280%29%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B-4%2B10%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![\text{Average rate of change}=\frac{6}{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B6%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![\text{Average rate of change}=\frac{2\cdot 6}{1}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D%5Cfrac%7B2%5Ccdot%206%7D%7B1%7D)
![\text{Average rate of change}=12](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20rate%20of%20change%7D%3D12)
Therefore, Spot's average rate of ascent is 12 feet per second.