Answer:
78
Step-by-step explanation:
Evaluate 6 (2 x^2 - 5) where x = -3:
6 (2 x^2 - 5) = 6 (2×(-3)^2 - 5)
Hint: | Evaluate (-3)^2.
(-3)^2 = 9:
6 (2×9 - 5)
Hint: | Multiply 2 and 9 together.
2×9 = 18:
6 (18 - 5)
Hint: | Subtract 5 from 18.
| 1 | 8
- | | 5
| 1 | 3:
6×13
Hint: | Multiply 6 and 13 together.
6×13 = 78:
Answer: 78
Answer:
W = 2 cm
L = 5 cm
Step-by-step explanation:
A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.
A = l*w
10 = (4w - 3)(w)
10 = 4w² - 3w
Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.
4w² - 3w - 10 = 0
Substitute a = 4, b = -3 and c = -10.

There are two possible solutions which can be found.
3 + 13 / 8 = 16/ 8 = 2
3 - 13 / 8 = -10/8 = -5/4
Since w is a side length or distance, it must be positive so w = 2 cm.
If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.
Answer:
each book was $16
Step-by-step explanation:
140-12=128 divided by 8 = 16
hope this helps!
Answer:
C. y<3
Step-by-step explanation:
We are required to determine the solution set of the inequality

Step 1: Add 9 to both sides

Step 2: Divide both sides by 15

The solution set of the given inequality is: y<3.
The correct option is C.