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2 years ago

3(x-2y)=5(x-3y)+9 write in slope intercept form help!

Mathematics

1 answer:

eimsori [14]2 years ago

5 0

Answer:

y = (2x/9) + 1

Step-by-step explanation:

Solving for y we get 3(-2y+x) = 5(-3y+x)+9

Expand the above we get -6y+3x=5(-3y+x)+9

which is -6y+3x = -15y+5x+9

then 9y = 2x+9

which y = (2x/9) + 1

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An art club is going to a museum. Six adults are going. 18 more kids than adults are going. Adults tickets cost $24 each, which

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3 years ago

Given that f(x) = x + 3<br> a) Find f(2)

Nataly_w [17]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

In the above question, it is given that :

$\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }$

A.) Find f(2) :

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2}$

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2}$

$\qquad \sf \dashrightarrow \: f(2) = 0.5$

B.) Find ${ \sf {f}^{-1}(x) }$ :

$\qquad \sf \dashrightarrow \: let \: y = f (x)$

so, we can write it as :

$\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2}$

$\qquad \sf \dashrightarrow \: 2y = x + 3$

$\qquad \sf \dashrightarrow \: x = 2y - 3$

Now, put x = ${ \sf {f}^{-1}(x) }$ , and y = x and we will get our required inverse function ~

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3$

C.) Find ${ \sf {f}^{-1}(12) }$ :

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33$

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1 year ago

￼3(x-2y)=5(x-3y)+9 write in slope intercept form help!

3(x-2y)=5(x-3y)+9 write in slope intercept form help!