Can someone help me with some math problems questions in attachments

Mathematics

1 answer:

arsen [322]3 years ago

5 0

The first one is 22 the second one is 16 the third one is 18

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Find the inverse function in slope-intercept form (mx+b):<br> f(x)=-3/5x+6

ruslelena [56]

Answer:

$f^{-1}(x)=-\frac{5}{3} x+10$

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

$y=-\frac{3}{5} x+6$

2) solve for x:

$y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10$

3) replace "x" with $f^{-1}(x)$ , and y with x:

$f^{-1}(x)=-\frac{5}{3} x+10$

6 0

3 years ago

What is the equation of a line that passing through points (-2, 5) and (3, 25)

Llana [10]

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad 
(\stackrel{x_2}{3}~,~\stackrel{y_2}{25})
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{25-5}{3-(-2)}\implies \cfrac{25-5}{3+2}
\\\\\\
\cfrac{20}{5}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=4[x-(-2)]
\\\\\\
y-5=4(x+2)\implies y-5=4x+8\implies y=4x+13$