Answer:
![W \le 6](https://tex.z-dn.net/?f=W%20%5Cle%206)
Step-by-step explanation:
Given
![Area = 60ft^2\ (max)](https://tex.z-dn.net/?f=Area%20%3D%2060ft%5E2%5C%20%28max%29)
![Length = 10ft](https://tex.z-dn.net/?f=Length%20%3D%2010ft)
Required
Represent the width as an inequality
First, we represent the area as an inequality.
![Area = 60ft^2\ (max)](https://tex.z-dn.net/?f=Area%20%3D%2060ft%5E2%5C%20%28max%29)
max as used above means less than or equal to.
So, we have:
![Area \le 60](https://tex.z-dn.net/?f=Area%20%5Cle%2060)
The area of a rectangle is:
![Area = L * W](https://tex.z-dn.net/?f=Area%20%3D%20L%20%2A%20W)
So, we have:
![L * W \le 60](https://tex.z-dn.net/?f=L%20%2A%20W%20%5Cle%2060)
Substitute 10 for L
![10 * W \le 60](https://tex.z-dn.net/?f=10%20%2A%20W%20%5Cle%2060)
Divide both sides by 10
![\frac{10 * W}{10} \le \frac{60}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10%20%2A%20W%7D%7B10%7D%20%5Cle%20%5Cfrac%7B60%7D%7B10%7D)
![W \le \frac{60}{10}](https://tex.z-dn.net/?f=W%20%5Cle%20%5Cfrac%7B60%7D%7B10%7D)
![W \le 6](https://tex.z-dn.net/?f=W%20%5Cle%206)
Answer:
g(x)=8x+16 for x= -3, 0, and 8.
g(-3) = -8
g(0)= 16
g(8)= 80
Step-by-step explanation:
Step 1. Plugin the given numbers.
g(-3)= 8(-3) + 16
g(0)= 8(0) + 16
g(8)= 8(8) + 16
Step 2. Solve the equations.
g(-3)= -24 + 16 Multiplied -3 and 8.
g(-3)= -8 Added -24 and 16
g(0)= 0+16 Multiplied 0 and 8.
g(0)= 16 Added 16 and 0.
g(8)= 64+16 Multiplied 8 and 8.
g(8)= 80 Added 64 and 16.
Answer:
2 gallons left after driving 50 miles
Step-by-step explanation:
Edgar has 7 gallons of gas remaining in his car after driving for 30 miles he had 4 gallons left in the tank
Initially he has 7 gallons of gas
after 30 miles 4 gallons left
Let m be the number of miles and g be the gallons left
(0,7) (30,4)
find slope using formula ![\frac{y_2-y_1}{x_2-x_1} =\frac{4-7}{30-0} =\frac{-1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B4-7%7D%7B30-0%7D%20%3D%5Cfrac%7B-1%7D%7B10%7D)
y intercept b= 7
so equation becomes
![g=mx+b\\g=\frac{-1}{10} x+7](https://tex.z-dn.net/?f=g%3Dmx%2Bb%5C%5Cg%3D%5Cfrac%7B-1%7D%7B10%7D%20x%2B7)
now find out g when m= 50 miles
![g=\frac{-1}{10} x+7\\ g=\frac{-1}{10}(50)+7=2](https://tex.z-dn.net/?f=g%3D%5Cfrac%7B-1%7D%7B10%7D%20x%2B7%5C%5C%20g%3D%5Cfrac%7B-1%7D%7B10%7D%2850%29%2B7%3D2)
so 2 gallons left after driving 50 miles
Slope is rise (change in y) over run (change in x) so:
(-7 - 1)/(-1 - 3) = -8/-4=2
The slope is 2
Many fractions are equal. You can double both numbers to make a new fraction with the same properties, or times them both by 10 or more.
Examples of answers:
10/16
50/80
500/800 etc...