Answer:
y=5x+10
Step-by-step explanation:
Answer:
6 times
Step-by-step explanation:
Let the number of times you visit the pool = x
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.
= $24 + $1× x
= 24 + x
If you do not purchase the membership the pool admission is 5 dollars.
= 5 × x
= 5x
Hence:
24 + x = 5x
Collect like terms
24 = 5x - x
4x = 24
x = 24/4
x = 6 times
The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.
Answer: it's a linear equation
Step-by-step explanation:
Answer:
60% or 0.6
Step-by-step explanation:
Divide 12 by 20
12/20 = 0.6
Conversion to percentage
0.6 * 100 = 60%
<h3>
Answer: False</h3>
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Explanation:
I'm assuming you meant to type out
(y-2)^2 = y^2-6y+4
This equation is not true for all real numbers because the left hand side expands out like so
(y-2)^2
(y-2)(y-2)
x(y-2) .... let x = y-2
xy-2x
y(x)-2(x)
y(y-2)-2(y-2) ... replace x with y-2
y^2-2y-2y+4
y^2-4y+4
So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4
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Another approach is to pick some y value such as y = 2 to find that
(y-2)^2 = y^2-6y+4
(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2
0^2 = 2^2 - 6(2) + 4
0 = 4 - 6(2) + 4
0 = 4 - 12 + 4
0 = -4
We get a false statement. This is one counterexample showing the given equation is not true for all values of y.
