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Scrat [10]
4 years ago
14

A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to

model the cost of services there and then determine how many services you had if you were charged $115
Mathematics
1 answer:
evablogger [386]4 years ago
7 0
<span>how many services you had if you were charged $115?
set f(x) to 115 and solve for x:
f(x) = 15x + 25
115 = 15x + 25
90 = 15x
6 = x</span>
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Find the inverse of the function and then determine whether the inverse is a function.
nirvana33 [79]
The inverse of this function is not a function and this function isn’t inversable because it’s not one to one
5 0
4 years ago
Write the equation of the line in fully simplified slope-intercept form.
Lina20 [59]

Answer:

y=-6x+2

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle \frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Given the graph, we determine which points we could use. For example, we could use the two points (0,2) and (1,-4):

m=\displaystyle \frac{-4-2}{1-0}\\\\m=\displaystyle \frac{-6}{1}\\\\m=-6

Therefore, the slope of the line is -6. Plug this into y=mx+b:

y=-6x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into y=-6x+b:

y=-6x+2

I hope this helps!

5 0
3 years ago
-10x-6y=0 -4x -6y=54 find the solution of this system of equations
ad-work [718]

You can see that the term -6y appears in both equations. In this cases, we can leverage this peculiarity and subtract the two equations to get rid of the repeated term. So, if we subtract the first equation from the second, we have

(-4x -6y) - (-10x-6y) = 54-0 \iff 6x = 54 \iff x = 9

Now that we know the value of x, we can substitute in any of the equation to deduce the value of y: if we use the first equation, for example, we have

-10x-6y=0 \iff -10\cdot 9 - 6y = 0 \iff -90-6y=0 \iff 6y = -90 \iff y = -15

7 0
3 years ago
Please help Solve:2x -1 &gt;3
wolverine [178]
Your answer should be <span>x>2</span>
8 0
4 years ago
Read 2 more answers
3. Given that ∆RSV - ∆RTU, find the coordinates of S and the scale factor. R(0, 0) T(16,0) V(0, --6) U(0, -8) ​
MArishka [77]

Answer:

I'll give the scale factor and you can compute the coordinates of S

Step-by-step explanation:

the dilation if centered about the origin is the scale factor multiplied by each coordinate.

so looking at points V and U, the scale factor F is found by solving for F:

-6xF= -8

F=8/6=4/3

Now you can compute the coordinates for S

send a comment if you need help

5 0
3 years ago
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