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Pavlova-9 [17]
4 years ago
11

What is the factored form of the expression 9x2 + 6x + 1?

Mathematics
1 answer:
DanielleElmas [232]4 years ago
4 0

Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx +  b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = \sqrt{9} = 3

b² = 1 ⇒ b = \sqrt{1} = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

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Answer:

17, -3, -13, -18, -23

Step-by-step explanation:

Plug in the x side into the equation so

g(-4) = -5(-4) -3

g(-4) = 20-3

g(-4) = 17

Therefore that answer is 17

Then you do that for all of them, I don't have the time to do them all but that's the concept for all of them. Hope this helps and hopefully it's not too late. Sorry!

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3 years ago
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Could you post the table please
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A pizza is $6.98. how much is the pizza, with a 50% off discount?
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The pizza would cost $3.49 
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4 years ago
P (n), given below, is the price P in dollars for n grams of vitamins.P(n)=0.4n+5.7Complete the following statements.
Amanda [17]

(a)

In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.

The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,

The amount of vitamins (in grams) for a price of x dollars.

(b)

Let P(n) = x, So

x=0.4n+5.7

Replace n by x and x by n in the given equation.

n=0.4x+5.7

Simplify the equation for x.

\begin{gathered} n+0.4x+5.7 \\ n-5.7=0.4x \\ x=\frac{n-5.7}{0.4} \\ =\frac{10n-57}{4} \end{gathered}

So inverse of function is after interchange of variables,

P^{-1}(x)=\frac{10x-57}{4}

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Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).

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7 0
1 year ago
Find the gcf of 12 and 45
krek1111 [17]

gcf = 3

the factors of 12 are 1, 2, 3, 4, 6 and 12

the factors of 45 are 1, 3, 5, 9, 15 and 45

the greatest common factor of 12 and 45 is 3


3 0
4 years ago
Read 2 more answers
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