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132*42% = 55.44
132 - 55.44 = 76.56
So, the Millers paid $55.44 for gas and $76.56 for electricity.
Answer: a. -3(x+1), b. 19-3x, c. -9 and d. 13
Step-by-step explanation:
Lets begin with a. (fog)(x)=f(g(x))
=f(2x+x+7), Note that 2x+x+7=3x+7
=f(3x+7) (where there is x if the function f(x) we
substitute x by 3x+7)
=4-(3x+7) =4-3x-7=-3x-3= -3(x+1).
b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function
g(x) we substitute with 4-x)
= 3(4-x)+7 = 19-3x
c. (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )
d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with
2 in 19-3x)
Answer:
Step-by-step explanation:
3 = −5⁄7[−4] + b
2 6⁄7
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so 1 2⁄5 [or 7⁄5] becomes −5⁄7.
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Answer: 8 vests
Step-by-step explanation:
Mrs Chapman used 3/4 yards of martial for 1 vest.
When she used 6 yards, we are told to calculate the number of vest she made.
3/4 yards = 1vest
6 yards = y
We represent the number of vest made with y.
(3/4) / 6 = 1 / y
0.75/6 = 1/y
Cross multiply
0.75y = 6
Divide both side by 0.75
0.75y/0.75 = 6/0.75
y = 8
She will make 8 vests from 6 yards.
