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densk [106]
2 years ago
10

Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!

Mathematics
1 answer:
Naya [18.7K]2 years ago
7 0

(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

x^2 + 8x + 16 + 14 - 16

x^2 + 8x + 16 - 2

Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

(x + 4)^2 - 2

Answer: (x + 4)^2 - 2

Hope this helps! :)

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7 0
3 years ago
Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))
Colt1911 [192]

Answer:

-11

Step-by-step explanation:

Given

\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5

Use properties:

\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA

Thus,

\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11

3 0
3 years ago
Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us
erastova [34]

<u>Answer:</u>

"It is used when you solve an equation in algebra" is the untrue statement.

<u>Step-by-step explanation:</u>

"It is used when you solve an equation in algebra."

When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.

"It is used to make broad generalizations using specific observations."

This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.

"It is used to prove basic theorems."

This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.

"It is used to prove that statements are true."

Using your own observations, you can draw your own conclusions to prove what you are saying is factual.

6 0
3 years ago
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yuradex [85]
I think the answer could be C
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3 years ago
Ten of 16 students in Nyack's class are girls. His teacher selected two
viktelen [127]

I can't understand this after "happening is" but let's do it unaided.

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Answer: 1/4

7 0
3 years ago
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