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love history [14]
2 years ago
9

The Frenchtown Roller Rink charges a $5 entrance fee and an hourly rate for roller skating. The total cost for roller skating de

pends on the number of hours a
person skates. The table below represents the total cost of skating for different numbers of hours.
ROLLER SKATING COST
Number
of Hours
Total Cost
in Dollars
0
5
1
8
2.
11
3
14
4
17
Which equation represents the relationship between the cost, and the number of hours, h?
A
C= 8h
B
C= 5h+3
C c = 2h +7
D = 3h5

Mathematics
1 answer:
bazaltina [42]2 years ago
4 0

Answer:

Step-by-step explanation:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th

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3 years ago
If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))
sp2606 [1]

Answer:

f(g(-2))=-134

Step-by-step explanation:

So we have the two functions:

f(x)=7x+6\text{ and } g(x)=8x-4

And we want to find f(g(-2)).

First, let's find g(-2):

g(-2)=8(-2)-4

Multiply:

g(-2)=-16-4

Subtract:

g(-2)=-20

Now, substitute:

f(g(-2))=f(-20)

Now, find the value of f(-20):

f(-20)=7(-20)+6

Multiply:

f(-20)=-140+6

Add:

f(-20)=-134

So:

f(g(-2))=-134

And we're done!

5 0
3 years ago
On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line
NikAS [45]

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

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Answer:

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