Sort each equation according to whether it has one solution, infinitely many solutions, or no solution. 5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
-3(x-4) =-3x + 12
4(x + 1) = 3x + 4
-2(x - 3) = 2x - 6
6(x+5) = 6x +11

Step-by-step explanation:

hello,

5(x-2)=5x-7

<=> 5x-10=5x-7

<=> -10=-7

no solution

-3(x-4)=-3x+12

<=> -3x+12=-3x+12

this is always true so infinite solutions

4(x+1)=3x+4

<=> 4x+4=3x+4

<=> x = 4-4 = 0

One solution

-2(x-3)=2x-6

<=> -2x+6=2x-6

<=> 4x= 6+6=12

<=> x = 3

one solution

6(x+5)=6x+11

<=> 6x+30=6x+11

<=> 30=11

no solution

hope this helps

step-by-step explanation:

659

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).