The slope is 7/6.
Hope it helps .
Answer:
462 ![cm^{3}](https://tex.z-dn.net/?f=cm%5E%7B3%7D)
Step-by-step explanation:
Rectangular Prism: 7 x 8 x 6 = 336
Triangular Prism: (0.5 x 7 x 6) x 6 = 126
336 + 126 = 462
Answer:
a. ![x = \frac{3}{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
b. ![g(0) = 3](https://tex.z-dn.net/?f=g%280%29%20%3D%203)
c. ![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
d. ![g(3) = -21](https://tex.z-dn.net/?f=g%283%29%20%3D%20-21)
Step-by-step explanation:
Given
![g(x) = 3 - 8x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20-%208x)
Solving (a): When g(x) = 0
Substitute 0 for g(x)
![g(x) = 3 - 8x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20-%208x)
![0 = 3 - 8x](https://tex.z-dn.net/?f=0%20%3D%203%20-%208x)
Solve for 8x
![8x = 3](https://tex.z-dn.net/?f=8x%20%3D%203)
Solve for x
![x = \frac{3}{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%7D%7B8%7D)
Solving (b): when x = 0
Substitute 0 for x
![g(x) = 3 - 8x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20-%208x)
![g(0) = 3 - 8 * 0](https://tex.z-dn.net/?f=g%280%29%20%3D%203%20-%208%20%2A%200)
![g(0) = 3 - 0](https://tex.z-dn.net/?f=g%280%29%20%3D%203%20-%200)
![g(0) = 3](https://tex.z-dn.net/?f=g%280%29%20%3D%203)
Solving (c): When g(x) = -5
Substitute -5 for g(x)
![g(x) = 3 - 8x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20-%208x)
![-5 = 3 - 8x](https://tex.z-dn.net/?f=-5%20%3D%203%20-%208x)
Solve for 8x
![8x = 3 + 5](https://tex.z-dn.net/?f=8x%20%3D%203%20%2B%205)
![8x = 8](https://tex.z-dn.net/?f=8x%20%3D%208)
Solve for x
![x = \frac{8}{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B8%7D%7B8%7D)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
Solving (d): When x = 3
Substitute 3 for x
![g(x) = 3 - 8x](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%20-%208x)
![g(3) = 3 - 8 * 3](https://tex.z-dn.net/?f=g%283%29%20%3D%203%20-%208%20%2A%203)
![g(3) = 3 - 24](https://tex.z-dn.net/?f=g%283%29%20%3D%203%20-%2024)
![g(3) = -21](https://tex.z-dn.net/?f=g%283%29%20%3D%20-21)
Answer:
x ≥ 9 and x < 5
Step-by-step explanation:
See the line graph of a compound inequality shown in the attached photo.
Inequality has two parts. The right-hand part is shown by an arrow that is more than 9 and including 9.
So, the equation of inequality for this part is x ≥ 9.
Again, the left-hand part of the inequality graph shows another arrow which is less than 5 but not including 5.
So, the equation of inequality for this part is x < 5
Therefore, compound inequality is x ≥ 9 and x < 5 (Answer)