Answer:
The answer is T 2,1(x,y) because you add 2 to the x-coordinate, and add 1 to the y-coordinate
Answer: 2 nickels
Rachel has 20 coins composed of nickles, dimes and quarters
amounting to $3.70. Her quarters are twice the number of her dimes, the number
of nickels can be computed as follows:
If X= the number of
dimes at .10 each
Then 2x= the number
of quarters at .25 each and
20-(X-2X)= the number of nickels at .05 each
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The equation will be:
X(.1)+2(X).25+(20-X-2X).10=3.70
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.1X+2X(.25)+(20-X-2X).05=3.70
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.1X+.5X+(20-3X).05=3.70
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.6X+(1-.15X)=3.70
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.6X+1-.15X=3.70
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.45X=3.70-1
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.45X=2.70
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X=2.70/.45
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X=6 number of dimes
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2X=12 number of quarters
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20-6-12=2 number of nickels
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(goh)=g(h(x))
h(0)=0^2+4=4
g(4)=8
(goh)(0)=8
Answer:
Step-by-step explanation:
\frac{4}{3x²-23x+40}
=\frac{4}{3x²-15x-8x+40}
=\frac{4}{3x(x-5)-8(x-5)}
=\frac{4}{(x-5)(3x-8)}
=\frac{4(x-3)}{(x-5)(3x-8)(x-3)}
2.
\frac{9x}{3x²-17x+24}
=\frac{9x}{3x²-9x-8x+24}
=\frac{9x}{3x(x-3)-8(x-3)}
=\frac{9x}{(x-3)(3x-8)}
=\frac{9x(x-5)}{(3x-8)(x-5)(x-3)}
Lets assign some variables: Let
y = Darren + Michael
x = Brian.
Given:
y = 2x + 30 (Darren and Michael [y] earn [=] 30 more than[+30] twice what Brian earns[2x])
y = 3800 (Darren and Michael [y] earn [=] $3800)
Solve for x: What Brian earns.
I will solve this by substitution. Plugging in 3800 for y:
3800 = 2x + 30 subtract 30 from both sides
3770 = 2x divide by 2 on both sides
1885 = x flip the equation
x = 1885
Brian earns $1885 per month.
