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pentagon [3]
3 years ago
15

A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i

t reaches the peak at 2,000 feet. Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
Mathematics
2 answers:
Zepler [3.9K]3 years ago
4 0

Answer:

the rate is 40 min.

Step-by-step explanation:

50 times 1 is 50 and 2000 divided by 50 is 40 which gives you 40 min.

kotykmax [81]3 years ago
3 0

Answer:

t=40min

Step-by-step explanation:

speed is ratio of distance to time.

S=distance/time

50ft/min=2000/t

t=2000/50

t=40min

y=mx+c

y=50x+c

m=50ft/min gradient of the graph

the equation that satisfy the problem

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Equation 1: 8x+2y=308x+2y=30
Tems11 [23]

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

8x+2y=30 ----> equation 1

7x+2y=24 ----> equation 2

Solve by elimination

We should try to eliminate the y's because the coefficients are the same

Part b) What is the solution to the system?

Multiply equation 2 by -1 both sides

-1(7x+2y)=-1(24)

-7x-2y=-24 -----> equation 3

Adds equation 1 and equation 3

8x+2y=30\\-7x-2y=-24\\-------\\8x-7x=30-24\\x=6

Find the value of y

8x+2y=30[/tex[tex]8(6)+2y=30

2y=30-48

y=-9

The solution is the point (6,-9)

8 0
3 years ago
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
STatiana [176]
The answer to this question is  4v+8
12v+3-6v-9=2v-14+w
12v+3-6v-9-2v+14=w
12v-6v-2v+14-9+3=w
6v-2v+5+3=w
4v+8=w
3 0
4 years ago
Read 2 more answers
G-1/6=1/6. Solve for G
aleksklad [387]

G -1/6= 1/6

Move -1/6 to the other side

sign changes from -1/6 to 1/6

G-1/6+1/6=1/6+1/6

G = 2/6

Reducing: divide by 2 for 2/6

2/2= 1

2/6= 3

Answer : G= 2/6= 1/3

4 0
4 years ago
Quadrilateral ABCDABCD has vertices AA (-2, 2), BB (4, 5), CC (3, 0) and DD (-3, -3). What are the coordinates of the midpoint o
Arada [10]
Check the picture below.

the quadrilateral is a parallelogram, thus the diagonals bisect each other, so, we could have used either diagonal, and get the same midpoint.


\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
B&({{ 4}}\quad ,&{{ 5}})\quad 
%  (c,d)
D&({{ -3}}\quad ,&{{ -3}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -3+4}} }{2}\quad ,\quad \cfrac{-3+5}{2} \right)

6 0
4 years ago
If f(x)=7x-6 which of the following is the inverse of (x)?
Vedmedyk [2.9K]

Here we have , f(x) = y= 7x-6

To find the inverse function of the given function, we need to follow some steps, which are:

First we need to switch x and y, that is

x= 7y-6

Next step is to solve for y, and for that, we need to add 6 to both sides

x+6=7y

Dividing both sides by 7, that is

y = \frac{x+6}{7}

Therefore,

f^{-1}(x)= \frac{x+6}{7}

3 0
3 years ago
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