Answer:
Expand: x² + 11x + 11x + 121
Simplify: x² + 22x + 121
Step-by-step explanation:
To expand this, you can use the FOIL technique:
First terms
Outer terms
Inner terms
Last terms
(x+11)(x+11)
F - x*x = x²
O - x*11 = 11x
I - 11*x = 11x
L - 11*11 = 121
Put these numbers together (expanded) to get:
x² + 11x + 11x + 121
Put the common terms together (simplify) to get:
x² + 22x + 121
Note:
Not sure if you need this info, but (x + 11)(x + 11) is the same as (x + 11)².
The numbers need to be in the order I put them in because you are supposed to place them in order greatest to least degree.
Hope it helps!
Simplifying
30c + -45d
Factor out the Greatest Common Factor (GCF), '15'.
15(2c + -3d)
Final result:
15(2c + -3d)
Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)
The bases are the same (both are 5), so you add the exponents: 4+8 = 12. The base stays the same the entire time.
So, 5^4*5^8 = 5^(4+8) = 5^12
Answer: 31.25%
Step-by-step explanation: To answer the question <em>what percent of 80 is 25</em>, we translate the question into an equation.
So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.
Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have <em>x</em> and on the right side of the equation, we have 25 ÷ 80 which gives us 0<em>.</em>3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.
Therefore, 31.25% of 80 is 25.
I believe the correct answer is A,