Answer:
C
Step-by-step explanation:
the equation of the parabola is : y = x² - 3x
the equation of the line is y = x + 1
and the shaded area is between those graphs
therefore y ≥ x² - 3x and y ≤ x + 1
Answer:
a
Step-by-step explanation:
if you plug 4 in for x it solves it
Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer: He will divide to convert pounds to ounces.
Step-by-step explanation:
The length of the rectangular base is 9in
<h3>How to determine the value</h3>
It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;
Volume = lwh/3
Where;
- l is the length of the rectangular base of the pyramid
- w is the width of the rectangular base of the pyramid
- h is the height of the rectangular base of the pyramid
Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;
168 = l × 7 × 8/ 3
cross multiply
l × 7 × 8 = 168(3)
Find the product
56l = 504
To determine the length, divide both sides by 56, we get;
l = 504/ 56
l = 9In
Hence, the value is 9in
Learn more about volume here:
brainly.com/question/463363
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