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Ulleksa [173]
3 years ago
12

Solve the following equation. Show all steps. 3(w+8)+2w=5(w+5)+1

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

3(w+8) + 2w = 5(w + 5) + 1

Distribute:

3w + 24 + 2w = 5w + 25 + 1

5w + 24 = 5w + 26

5w = 5w + 2

0 = 2

No solution.

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What is f(g(x)) for x > 5?
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Answer:

\large\boxed{B.\ 4x^2-41x+105}

Step-by-step explanation:

f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105

6 0
3 years ago
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What is the complete pattern?<br> _______ 8,570 ________ 85.7 8.57 _______
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lawyer [7]
- - Let's solve:

\frac{9}{1} * \frac{2}{6}

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8 0
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If 17 is 32 than what does 17+17+17+17+17=?
IceJOKER [234]

Answer:

The answer is 160

Step-by-step explanation:

Comment

There really should be no answer to this. It sort of destroys the meaning of equality. However, you might be working in different bases. I'll assume that, but the base will be a fraction, which brings up other problems.

Solution

You have 5 17s there. So you will need five 32s. 5 * 32 = 160

The answer is 160

5 0
2 years ago
Simplify the following expression: 35 + (–13) + (+8) – (–6).
Ann [662]
35 + (-13) + 8 - (-6) = 22 + 8 - (-6) = 30 - (-6) = 36
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