Factoring by grouping usually pairs up the first 2 sets of expressions with the second 2 sets. Ours looks like this, then:

. If we factor out the common x-squared in the first set of parenthesis, along with factoring out the common 5 in the second set, we get this:

. Now the common expression that can be factored out is the (x-9). When we do that, here's what it looks like:

. I'm not sure how far you are going with this. You could set each of those equal to 0 and solve for x in each case. The first one is easy. If x - 9 = 0, then x = 9. The second one involves the imaginary i since x^2 = -5. In that case,

. Hopefully, in what I have given you, you can find what you're looking for.
Answer:
6. D
7. B
Step-by-step explanation:
Nancy takes a test that has two sections: essay and true/false. She scores 56 points on the essay. Each true/false question is 4 points. So x number of true/false is worth 4 points each or 4x.
Together her score will be 56 + 4x.
She wants to score more than 80 or > 80.
So her test can be represented as the inequality 56 + 4x > 80.
This is solved using inverse operations.
56 + 4x > 80
4x > 24
x > 6
This should be graphed as an open circle at 6 on the umber line pointing and shaded to the the right for numbers greater than 6.
The answer of 6and7 irrational number is 6.875
ANSWER

EXPLANATION
From the given information, Elena chooses a number from 1 to 10.
The sample space is
S={1,2,3,4,5,6,7,8,9,10}
n(S)=10
The numbers greater than 5 are:
E={6,7,8,9,10}
n(E)=5
The probability that, she chooses a number greater than 5 is:

Substitute the values,

