Remember to follow PEMDAS, and left -> right rule.
First, solve the Parenthesis:
(4 + 2^3)
Solve the exponent.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
4 + 8 = 12
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(5^2) x (12)
5^2 = 5 x 5 = 25
25 x 12
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Multiply
25 x 12 = 300
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300 is your answer
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<em>~Rise Above the Ordinary</em>
<span>Write the equation of the line that satisfies the given conditions, Express the final equation in standard form. Contains the point (2,5) and is parallel to the line x-2y=-5
The given equation can be written 2y=x+5; y = (1/2)x+(5/2)
It's slope is 1/2
So any line parallel to it has slope = 1/2
If the line also passes thru (2,5), 5 = (1/2)2+b; b=4
Therefore the equation you want is y = (1/2)x+4</span>
Eight *(a number) plus 5*(another number) is -13.
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

Divide by -3,

Plug back into one of your original equations to find the value of x,

Subtract 7,
Look for the y-intercept
since we know the slope is 3 we just going to plug in
-5=3(1)+y
-5-3=y
so the y-intercept is 8 now you can find the equation
y=3x-8