Answer:
(x + 1)(x + 7)
Step-by-step explanation:
Assuming you require the expression factored
x² + 8x + 7
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 1 and + 7 , since
1 × 7 = 7 and 1 + 7 = 8 , then
x² + 8x + 7 = (x + 1)(x + 7) ← in factored form
Answer:
The inequality solves to r > 5
The graph has an open hole at 5, with shading to the right
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Explanation:
6+9r is the same as 9r+6
We'll subtract 6 from both sides to undo the +6
9r+6 > 51
9r+6-6 > 51-6
9r > 45
Then we'll divide both sides by 9 to isolate r.
9r/9 > 45/9
r > 5
The entire time, the inequality sign stays the same.
The solution set involves anything larger than 5. So something like r = 7 would work while r = 2 does not.
Visually, we'll have an open hole at 5 on the number line. Shade to the right to indicate things larger than 5. The open hole tells the reader "do not include 5 as part of the solution set".
Answer:
1
Step-by-step explanation:
<em>⇒2/3 ÷ (-4) - [ 1/6 - 8/6]</em>
<em>⇒2/3 / (-4) - [- 7/6]</em>
<em>⇒-1/6 + 7/6</em>
<em>⇒6/6</em>
<em>⇒1</em>
<em />
Answer:
$5.40
Step-by-step explanation:
To find the increase we need to consider our variables.
Current Rate = $4.50
Increase Percentage = 20% or 0.20
Now we can find the new rate by multiplying the Current Rate to the Increase Percentage and add it to the Current Rate again.
Total Price w/ Increase = ($4.50 x 0.20) + $4.50
Total Price w/ Increase = $0.90 + $4.50
Total Price w/ Increase = $5.40