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matrenka [14]
3 years ago
9

Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of

the equation 4x = 2x−2. (4 points)
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0

Each equation is a line and therefore will intercept each other at a single point. These points converge where the two y values are the same as that will produce the same coordinate. Therefore, we find the place where the two y values are equal to each other by setting the equations equal to each other.

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20 points and will give brainliest!!
FromTheMoon [43]

Answer:

C=0.65M+22.65

Step-by-step explanation:

The standard charge includes an initial fee and plus an addditional fee for each mile driven and is given by:

S=0.40M+17.75

The insurance charge is given by:

I=0.25M+4.90

So, the total charge C will be the sum of the standard charge S and the insurance charge I:

C=S+I

Substitute:

C=(0.40M+17.75)+(0.25M+4.90)

Rearrange:

C=(0.40M+0.25M)+(17.75+4.90)

Add:

C=0.65M+22.65

And we have acauired our equation relating C to M!

4 0
3 years ago
State the y-coordinate of the y-intercept for the function below.
marta [7]

Answer:

1

Step-by-step explanation:

y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.

f(x)=x^{3}-x^{2} -x+1

Substituting x = 0 in this function, we get:

f(0)=0^{3}-0^{2}-0+1=1

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)

3 0
3 years ago
Let A = Andrea's age, Find expressions for the following
Shalnov [3]

Answer:

b = 2a - 2

Step-by-step explanation:

Turn the words into an algebraic expressions. so Andrea's (b)  is (=) two years less (-2) than (flips the expression so place this first ->) twice (times 2) her age (a) So b = 2a -2

5 0
3 years ago
it is equally probable that the pointer on a spinner will land on any one of the eight regions. if the spinner lands on a boarde
Tamiku [17]

Answer:

1/3

Step-by-step explanation:

3 0
3 years ago
A rectangular soccer field is 80 meters wide and 110 meters long. The coach asks players to run from one corner of the field to
seraphim [82]

Answer:

Step-by-step explanation:

Goven the length of the field = 110m

Width = 80m

The length of the diagonal is expressed using the pythagoras theorem;

d² = l² + w²

d² = 110² + 80²

d² = 12100 + 6400

d² = 18500

d = √18500

d = 136.01

Hence the players have to run 136.01m diagonally

7 0
3 years ago
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