Given the function w(x)=2x²+5x, find w(2)

2 answers:

5 0

$\text{Put}\ x=2\ \text{to the equation of the function}\ w(x)=2x^2+5x:\\\\w(2)=2(2^2)+5(2)=2(4)+10=8+10=18\\\\Answer:\ \boxed{w(2)=18}$

weeeeeb [17]3 years ago

3 0

W(x)=2x^2+5x
w(x)=8+10
W(2)=18

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Marge earned money for helping a local business. She spent 1/2 of the money on her phone, and the remaining 1/2 on a gift. She h

trasher [3.6K]

Answer:

Marge has earned $60.

Step-by-step explanation:

Let the total money she earned be x.

Money spent o the phone = $\frac{1}{2}x=0.5x$

Money left with Marge after buying phone= x - 0.5 x = 0.5 x

Money spent on the gift= $\frac{0.5x}{2}=0.25x$

Money left with Marge after buying gift= 0.5 x - 0.25 x = 0.25x

Final amount left with marge = $15

$\$15=0.25x$

$x=\frac{\$15}{0.25}=\$60$

Marge has earned $60.

8 0

3 years ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

Molodets [167]

$f(x)= \frac{x-9}{x+5}$
$g(x)= \frac{-5x-9}{x-1}$
$f(g(x))= \frac{ \frac{-5x-9}{x-1} -9}{ \frac{-5x-9}{x-1}+5 }$
$f(g(x))= \frac{-5x-9-9(x-1)}{-5x-9+5(x-1)}$
$f(g(x))= \frac{-5x-9-9x+9}{-5x-9+5x-5}$
$f(g(x))= \frac{-14x}{-14}=x$
$g(f(x))= \frac{-5 \frac{x-9}{x+5}-9 }{ \frac{x-9}{x+5}-1 }$
$g(f(x))= \frac{-5x+45-9(x+5)}{x-9-1(x+5)}$
$g(f(x))= \frac{-5x+45-9x-45}{x-9-x-5}$
$g(f(x))= \frac{-14x}{-14}=x$