<em><u>The inequality is:</u></em>
Membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount
<em><u>Solution:</u></em>
Given that,
A pool charges $4 each visit or you can buy a membership
Let "n" be the number of times you visit the pool
Let the membership amount of the pool be "m"
A pool charges $4 each visit
Therefore, cost for "n" visit is: $ 4n
<em><u>The inequality showing that a membership is less expensive than paying each visit to the pool is:</u></em>
4n > m
Divide both sides by "4"
Therefore, membership of the pool will be less expensive until number of visits to the pool is one fourth of the membership amount
When multiplying numbers with exponents, add the exponents.
So the answer is 2^-16
Answer:
x=0
Step-by-step explanation:
(1): "^-2" was replaced by "^(-2)".
rearrange the equation: x/81^(-2)/729^1-x-(9^2*x)=0
STEP
1
:
1.1 9 = 32
(9)2 = (32)2 = 34
Equation at the end of step
1
:
x
(—————— ÷ (7291)-x)-(34•x) = 0
(81-2)
STEP
2
:
2.1 729 = 36
(729)1 = (36)1 = 36
Equation at the end of step
2
:
x
(—————— ÷ 36 - x) - 34x = 0
(81-2)
STEP
3
:
3.1 81 = 34
(81)-2 = (34)(-2) = (3)(-8)
Equation at the end of step
3
:
x
(——————— ÷ 36 - x) - 34x = 0
(3)(-8)
STEP
4
:
1
Divide x by ——
38
Equation at the end of step
4
:
38x
(——— - x) - 34x = 0
36
STEP
5
:
38x
Simplify ———
36
Dividing exponents:
5.1 38 divided by 36 = 3(8 - 6) = 32
Equation at the end of step
5
:
(9x - x) - 34x = 0
STEP
6
:
Equation at the end of step 6
-73x = 0
STEP
7
:
Solving a Single Variable Equation:
7.1 Solve : -73x = 0
Multiply both sides of the equation by (-1) : 73x = 0
Divide both sides of the equation by 73:
x = 0
One solution was found :
x=0
2<span>, 3, 5, 7, 11, </span>13<span>, 17, 19, 23, 29, 31, </span>37<span>, </span>41<span>, </span>43<span>, </span>47<span>. are the only numbers prime that are less than 50</span>
