Answer:9a^2+18a-72
Step-by-step explanation:
9(a+1)^2-81
9(a+1)(a+1)-81
Open brackets
9(a^2+a+a+1)-81
9(a^2+2a+1)-81
9a^2+18a+9-81
9a^2+18a-72
There is one<span> last step after getting </span>x<span> = </span>3<span>. You must check </span>x<span> = </span>3<span> in the original equation to be sure that </span>x<span> = </span>3<span> does not cause a zero denominator.</span>
Answer:
4 chocolates
Step-by-step explanation:
Before Luke started eating, there were 8. This is 2/3 of what Sara had to start with, so she started with 12. That is 3/4 of what Mike started with, so he started with 16.
Jill left 4/5 of what she started with, so she must have started with 20. Jake ate 1/6 and left 5/6, so 20 is 5 times the number Jake ate.
Jake ate 4 chocolates.
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Jill ate 4; Mike ate 4; Sara ate 4; and Luke ate 4.
The answer is g(x) = x^2 + 13x + 30
You can get this is multiple ways. Firstly, you could factor to find the zeroes and then move the answers to the left and redistribute the parenthesis.
You could also put the equation into vertex form and shift the number inside the parenthesis by 4.
Either will give you the exact same answer.