First, we distribute the 2 through the parenthesis.
3x+2x+8=5(x+1)+3
Then we distribute the 5 through the parenthesis
3x+2x+8=5x+5+3
Collect the like terms
5x+8=5x+5+3
Add the numbers
5x+8=5x+8
The statement is true for any value of x, because both sides are identical
Answer:
A (-7, 1) = (X1, Y1)
B (3, -5) = (X1, Y2)
Now,
Mid point = (X1 + X2÷2, Y1 + Y2 ÷ 2)
= {-7+3÷2, 1+(-5)÷2}
= (-4÷2, 1-5÷2)
= (-4÷2, -4÷2)
= (-2, -2)
Step-by-step explanation:
I hope it will help you to study.
Answer:
A. A horizontal shift to the right 7.5 units
Step-by-step explanation:
Replacing x with x-7.5 shifts the graph 7.5 units to the <em>right</em>.
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In general, g(x) = f(x-h)+k will shift h units right and k units up. In this problem there is no vertical shift.
Answer:
The total money she saved in a year = X + 12Y.
Step-by-step explanation:
Mary got a piggy bank as a gift.
Sum of money in the piggy bank while she got it as a gift = X cents
Sum of money she saved = Y cents per month
1 year = 12 months
So, sum of money she saved in 1 year = Y × 12
= 12Y
Hence, the total money she saved in a year = X + 12Y.