PLEASE HELP : A rectangle has a length that is 15 more than its width. A second rectangle with a perimeter of 72 has a width tha
1 answer:
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Answer:
1. 4 + 26x² + 4x - 48
2. 2 - 23x² + 60x - 32
3. + 7
- 4x + 2
+ 14x² - 8
4. 2 +
- 28
+ 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4 + 2x² -8x + 6(4x² + 2x -8)
4 + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4 + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2 - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x( + 7x² - 4) + 2(
+ 7x² - 4)
+ 7
- 4x + 2(
+ 7x² - 4)
+ 7
- 4x + 2
+ 14x² - 8
No like terms to combine, so:
+ 7
- 4x + 2
+ 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2 - 7
+ 3) + 4(2
- 7
+ 3)
2 - 7
+ 3x + 4(2
- 7
+ 3)
2 - 7
+ 3x + 8
- 28
+ 12
Combine like terms:
2 +
- 28
+ 3x + 12
hope this helps!
Answer:
4 feet
Step-by-step explanation:
It is given that:
• At 2:30 p.m., the water depth was 2.6 feet.
• It is now 5:00 p.m., and the depth of the water is 3.6 feet.
So in 2.5 hours ( 5pm - 2:30pm) the water rose 1 feet (3.6 - 2.6).
Now <em><u>we can find how much water rises in 1 hour by setting up a ratio (let x be the depth increase of water in 1 hr):</u></em>
So, in 1 hour, the water level will rise 0.4 feet
So, at 6pm (1 hour from 5 pm) it will rise to 3.6 + 0.4 = 4 feet
Set the function to equal zero:
To find the zeros, or solutions, to this problem, we will use the quadratic formula:
Plug the values into the equation:
Solve for both plus and minus:
The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>
To find the zeros, or solutions, to this problem, we will use the quadratic formula:
Plug the values into the equation:
Solve for both plus and minus:
The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.
The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>