Answer:
P(x) = - 5(x + 2)²(x - 3)
Step-by-step explanation:
Given roots x = - 2 with multiplicity 2 and x = 3 , then the factors are
(x + 2)² and (x - 3)
P(x) is then the product of the factors, that is
P(x) = a(x + 2)²(x - 3) ← a is a multiplier
To find a substitute (2, 80) into P(x)
80 = a(2 + 2)²(2 - 3) = a(16)(- 1) = - 16a ( divide both sides by - 16 )
a = - 5
P(x) = - 5(x + 2)²(x - 3)
<h3>
Answer: 17.25 dollars</h3>
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Explanation:
15% of 15 = 0.15*15 = 2.25
The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars
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As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:
1.15*15 = 17.25
This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15
Answer:
i would pick line c and e before i would do a and e and b fnhwbh bfrhb bdh hejwhjd febhrew
Step-by-step explanation:
9514 1404 393
Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
__
These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)
