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cupoosta [38]
3 years ago
6

Use the system of equations to answer the questions.

Mathematics
2 answers:
Nataliya [291]3 years ago
4 0
Answer: x=7 or y=-8

Replace y with -2x+6 in the first equation

5x+4(-2x+6)=3

Then solve for x

First, distribute 4

5x-8x+24=3

Combine like terms

-3x+24=3

Subtract 24 from both sides

-3x=-21

Isolate x by dividing -3 to both sides

x=7



Replace x with 7 in either equation and then solve


y=-2(7)+6

Multiply -2 by 7

-14+6

Add

y=-8

Advocard [28]3 years ago
3 0

The resulting equation after substitution is

5x + 4(-2x + 6) = 3

quite literally you replaced y with what it equals (as said in the second equation)

you then distribute the 4 within the parenthesis

5x + -8x + 24 = 3

You make it easier

5x - 8x +24  = 3

you combine like terms

-3x + 24 = 3

you subtract 24 from both sides

-3x = -21

you divide both sides by -3

meaning x = 7

you then use that value x = 7 and substitude it for the x in the other equation.

That makes the y equation

y = -2(7) + 6

you then solve

y = -14+6

y = 6 - 14

y = -8

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Line CD bisects AB at point C. Find AC if AB = 56 feet
RideAnS [48]

Answer:

  AC = 28 feet

Step-by-step explanation:

Point C is the midpoint of AB, so AC is half the length of AB:

  AB/2 = (56 ft)/2 = 28 ft = AC

8 0
3 years ago
3(n+4)=21 what does n =?
Brilliant_brown [7]

Answer:

3.

Step-by-step explanation:

3(n + 4) = 21

3n + 12 = 21

3n = 21 - 12 = 9

n = 3.

7 0
3 years ago
Read 2 more answers
F(x) = x2 – 2x - 8
maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x-8

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

so

For x=0

f(x)=0^{2}-2(0)-8\\f(x)=-8

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0
3 years ago
When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl
slava [35]

Answer:

a) There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) There is a 48% probability that Betty watches TV tomorrow.

c) There is a 12% probability that only Alice watches TV tomorrow.

Step-by-step explanation:

We have these following probabilities:

A 60% probability that Alice watches TV.

If Alice watches TV, an 80% probability Betty watches TV.

If Alice does not watch TV, a 0% probability that Betty watches TV, since she cannot turn the TV on by herself.

a) What is the probability that both Alice and Betty watch TV tomorrow?

Alice watches 60% of the time. Betty watches in 80% of the time Alice watches. So:

P = 0.6*0.8 = 0.48

There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) What is the probability that Betty watches TV tomorrow?

Since Betty only watches when Alice watches(80% of the time), this probability is the same as the probability of both of them watching. So

P = 0.6*0.8 = 0.48

There is a 48% probability that Betty watches TV tomorrow.

c) What is the probability that only Alice watches TV tomorrow?

There is a 60% probability that Alice watches TV tomorrow. If she watches, there is an 80% probability that Betty watches and a 20% probability she does not watch.

So

P = 0.6*0.2 = 0.12

There is a 12% probability that only Alice watches TV tomorrow.

7 0
3 years ago
What is the slope of this non vertical line
bija089 [108]
The slope is 3/1. (Rise over run, rise 3 run 1)
5 0
2 years ago
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