Answer: He must save for 11 or more weeks.
Step-by-step explanation:
Using the inequality, we will solve for x to determine the number.
130 + 20x > 350 Subtract 130 from both sides
-130 -130
20x > 220
x> 11
Since x is greater than 11, it means that if he saves for 11 weeks, then he will save the exact amount of $350, but since he wants to save more, he must save for 11 or more weeks.
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
Think about the question. In division, if you divide by 1, the number stays the same. If you divide by a larger number (like 10), the answer will get smaller. Therefore, you know to move the decimal to the left.
Here, there is one zero after the 1, so you move the decimal back one space. If it was divided by 100, the answer would be 0.165
The answer is: " 2 {two}" .
_________________________________________________________
There are "2 {two}" factors in the expression:
_________________________________________________________
→ " 8(x + 4)(y + 4)(z² + 4z + 7) " ;
that have "exactly two terms". The factors are:
_________________________________________________________
" (x + 4) " ; and: " (y + 4) " .
_________________________________________________________
Note:
________________________________________________________
Among the 4 (four) factors; the following 2 (TWO) factors have exactly 2 (two) terms:
" (x + 4)" ; → The 2 (two) terms are "x" and "4" ; AND:
" (y + 4)" ; → The 2 (two) terms are "y" and "4" .
_________________________________________________________
Explanation:
_________________________________________________________
We are given the expression:
" 8(x + 4)(y + 4)(z² + 4z + 7) " ;
_________________________________________________________
There are 4 (four) factors in this expression; which are:
1) " 8 " ; 2) "(x + 4)" ; 3) "(y + 4)" ; and: 4) "(z² + 4z + 7)" .
_________________________________________________________
Among the 4 (four) factors; the following factors have exactly 2 (two) terms:
" (x + 4)" ; → The 2 (two) terms are "x" and "4" ; AND:
" (y + 4)" ; → The 2 (two) terms are "y" and "4" .
_________________________________________________________
<u>Note</u>: Let us consider the remaining 2 (two) factors in the given expression:
" 8(x + 4)(y + 4)(z² + 4z + 7) "
Consider the factor: " 8 " ; → This factor has only one term— " 8 " ;
→ { NOT "2 (two) terms" } ; so we can rule out this option.
The last remaining factor is: " (z² + 4z + 7) " .
→ This factor has "3 (three) terms" ; which are:
1) " z² " ; 2) "4z" ; <u><em>and</em></u>: 3) " 7 " ;
→ { NOT "2 (two) terms" } ; so we can rule out this option.
___________________________________________________________
