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olchik [2.2K]
3 years ago
11

A pair of equations is shown below:

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0
If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)
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A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
3 years ago
How are a trapezoid and parallelogram alike and how are they different
erik [133]
A parallelogram is a four-sided shape with opposite sides that are both parallel and equal in length. The area of a parallelogram is the base times the height. A trapezoid is a four-sided shape with at least one set of parallel sides.
3 0
3 years ago
Can someone help me with theeseeeeeeee
Whitepunk [10]
Wait but that is a test don't you need to look at a book or something insteadt of waiting for the answers
8 0
3 years ago
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If someone can help pls need soon
Annette [7]

Answer:

Step-by-step explanation:

7 0
2 years ago
Someone help me with these questions pls-
Andrews [41]

When finding the reciprocal, it is basicaly flipping the numerator and denominator of the number. For instance, the reciporcal of 2 is 1/2, because the denominator of 2 would be 1. For an example more straight forward, the reciporacle of 3/5 is 5/3. This applied to the question goes as followed.

1. 3/5 is 5/3

2. 1/4 is 4

3. 1 is 1

Similarly when dividing fractions or an integer to a fraction, the fraction that is dividing the number turns into the reciprocal then you would multiply.

4.   3/(3/4) is 3*4/3= 4

5.   5/(3/4) is 5*(4/3)= 20/3

6.   8/(4/7) is 8*(7/3)= 56/3

7. 6/(3/5) is 6*(5/3)= 10

8. 2/(5/8) is 2*(8/5)= 16/5

9. 4/(8/9) is 4*(9/8)= 9/2

8 0
2 years ago
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