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d1i1m1o1n [39]
3 years ago
13

Find the missing exponent.

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0

Answer: what missing exponent?

Step-by-step explanation:

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<h2>Solving Equations</h2>

To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.

  • If something is being added to x, subtract it from both sides.
  • If something is being subtracted from x, add it on both sides.
  • Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.

We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.

<h2>Solving the Questions</h2><h3>Question 1</h3>

5x+7=15

Because 7 is being added to x, subtract it from both sides:

5x+7-7=15-7\\5x=8

Because x is being multiplied by 5, divide both sides by 5:

\dfrac{5x}{5}=\dfrac{8}{5}\\\\x=\dfrac{8}{5}

Therefore. x=\dfrac{8}{5}.

<h3>Question 2</h3>

7x+4=5x-18

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

7x+4-5x=5x-18-5x\\2x+4=-18

To isolate x, subtract 4 from both sides:

2x+4-4=-18-4\\2x=-22

Divide both sides by 2:

\dfrac{2x}{2}=\dfrac{-22}{2}\\\\x=-11

Therefore, x=-11.

6 0
1 year ago
What is the area of the semicircle (use 3.14 for p)?<br> Please help! Will mark brainlyest.
Marizza181 [45]

Answer:

127.17 cm²

Step-by-step explanation:

  • Area of a semicircle: 1/2*π*r²
  • π (pi) = 3.14
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A = 1/2*π*r²

A = 1/2*3.14*9²

A = 1/2*3.14*81

A = 3.14*40.5

A = 127.17 cm²

Therefore, the area of the semicircle is 127.17 cm²

Hope this helps!

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The whole school would have 170 students that have a dog
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Let f(x) = x2 - 81. Find f-1(x).
dusya [7]
This is equivalent to finding a function g in which g(x^2-81)=x.

We simply reverse the actions of the initial function by adding 81 back and taking the square root.  Therefore, f^{-1}(x)=\sqrt{x+81}.
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