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3 years ago

If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?

1 answer:

6 0

$f(x) = 2x^2+3x
$
$g(x) = x-2$
First find (f + g)
$(f+g) = 2x^2+3x+x-2$
$(f+g)=2x^2+4x-2$
Now multiply by 2.
$(f+g)(2)=2(2x^2)+2(4x)+2(-2)$
$(f+g)(2) = 4x^2+8x-4$

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3 years ago

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3 years ago

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solniwko [45]

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Step-by-step explanation:

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3 years ago

Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty

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Answer: nickels = 13, dimes = 7, quarters = 14

<u>Step-by-step explanation:</u>

First, set up the equations for each coin:

$\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}$

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

Nickels + Dimes + Quarters = Sum

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Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

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3 years ago