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Leona [35]
3 years ago
9

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=−2. The y-intercept is y

=−9.6 . Find a formula for P(x) . Keep the answer in factored form.
Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

Step-by-step explanation:

P(x) = a(x - 2)2(x + 4), a ≠ 0

 

Use the given point (0,-10) to find a.

 

-10 = a(0 - 2)2(0 + 5) = a(4)(5) = 20a

a = -10/20 = -1/2

 

P(x) = (-1/2)(x - 2)2(x + 5)

 

You can expand this if you wish

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What are the expressions?
Romashka [77]
<h2>Explanation:</h2>

Here we need to solve some expressions. Remember the following rules:

(+)(+)=+ \\ \\ (-)(-)=+ \\ \\ (+)(-)=- \\ \\ (-)(+)=-

Then, from the left side:

5-2\cdot 7=5-14=\boxed{-9} \\ \\ 5-2\cdot 4=5-8=\boxed{-3} \\ \\ 5-2\cdot 0=5-0=\boxed{5} \\ \\ 5-2\cdot -3=5+6=\boxed{11} \\ \\ 5-2\cdot 10=5-20=\boxed{-15} \\ \\ 5-2\cdot -8=5+16=\boxed{21} \\ \\

from the right side:

-(-4)+3=4+3=\boxed{7} \\ \\ -(6)+3=-6+3=\boxed{-3} \\ \\ -(-8)+3=8+3=\boxed{11} \\ \\ -(-5)+3=5+3=\boxed{8} \\ \\ -(2)+3=-2+3=\boxed{1} \\ \\ -(15)+3=-15+3=\boxed{-12} \\ \\ -(-6)+3=6+3=\boxed{9}

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3 years ago
Evaluate the given algebraic expressions replacing x with -2 and y with 1<br><br>3x^2
Anvisha [2.4K]

Answer:

12

Step-by-step explanation:

3x^2

because the information provided states that x = -2, that is what we are going to replace x with.

3(-2)^2

the next step is to evaluate the power because that is next in PEMDAS.

(-2)^2 = 4

that leaves us with:

3 * 4 = 12      ( the " * " represents the multiplication sign)

hope this helps!

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Well it boils down to 18 - (4 + 9) which is 18 - 13 or 5. So the answer is 5 in this equation.

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(13 POINTS AND BRAINLIEST FOR BEST)
nordsb [41]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Simply multiply 7.25 by 200:

7.25 x 200 = 1450

The actual tower is 1450 feet

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
A big department store employs a total of 180 people. of these 180 people, 27 are managers, 100 are floor assistants, and the re
PilotLPTM [1.2K]

Among 180 people 27 are managers, 100 are floor assistants and the rest are helpers. Under the rest we mean 180-27-100=53 people.

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