Answer:
P(x) = -5(x² - 12)² + 405
Step-by-step explanation:
P(x) = -5x² + 120x - 315
Factor out -5 from the first two terms
P(x) = -5(x² - 24x) - 315
Complete the square
P(x) = -5(x - 12)² - (-5(-12)²) -315
P(x) = -5(x - 12)² + 720 - 315
P(x) = -5(x - 12)² + 405
Theater means expressing your own emotions and feelings in your own way without anyone judging you, express and grow your talent everyday with people who want to succeed in the same as you. Theater always has a story behind every sentence, poem, show, actor, etc…
13 cm (approximately)
Step-by-step explanation:
Let the radius of the circle be 'r'.
Area of the circle = πr²
=> 132.7 = (22/7) r²
=> 6.5 ≈ r
Therefore, diameter = 2radius = 2(6.5) = 13 cm
<h3>
Answer: -2</h3>
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Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x
Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.
For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75
Subtract the values to fill the second blank with 1.75 pounds.
Since they didn’t meet their goal, the last blank would be “less.”
I hope this helps! :)
