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NikAS [45]
3 years ago
13

Two lines, A and B, are represented by equations given below: Line A: y = x − 4 Line B: y = 3x + 4 Which of the following shows

the solution to the system of equations and explains why? (−3, −5), because the point satisfies one of the equations (−3, −5), because the point lies between the two axes (−4, −8), because the point satisfies both equations (−4, −8), because the point does not lie on any axis
Mathematics
2 answers:
Ede4ka [16]3 years ago
5 0
(-4,-8) because it satisfies both equations
notsponge [240]3 years ago
3 0

Answer:

The solution is (-4,-8)because the point satisfies both equations.

Step-by-step explanation:

Line A: y = x − 4

Line B: y = 3x + 4

Substitute the value of y from Line A in Line B

x-4=3x+4

-4-4=2x

-8=2x

-4=x

Substitute the value of x in Line B to get value of y

y=3x+4

y=3(-4)+4

y=-12+4

y=-8

Thus the solution is (-4,-8)because the point satisfies both equations.

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Vanessa wants to purchase a new cell phone plan. The two plans from which she can choose are shown below. Vanessa used the syste
user100 [1]

Answer:

2. 325 minutes.

Step by step explanation:

We will substitute our given number of minutes in our both equation one by one to find the correct option.

1. Let us substitute m= 775 in both equations.

CA=22+0.13m

CA=22+0.13\cdot 775

CA=22+100.75=122.75

CB=44+0.09(m-100)

CB=44+0.09(775-100)    

CB=44+0.09\cdot675

CB=44+60.75=104.75

104.75\neq122.75

We can see that both plans have different costs , therefore, 1st option is incorrect.

2. Let us substitute m= 325 in both equations.

CA=22+0.13m

CA=22+0.13\cdot 325

CA=22+42.25=64.25

CB=44+0.09(m-100)

CB=44+0.09(325-100)

CB=44+0.09\cdot 225

CB=44+20.25=64.25

64.25=64.25

When Vanessa has used the phone for 325 minutes, the cost for Plan A and the cost for Plan B will both be $64.25.Therefore, 2nd option is correct choice.

3. Let us substitute m= 32.5 in both equations.

CA=22+0.13m

CA=22+0.13\cdot 32.5

CA=22+4.225=26.225

CB=44+0.09(m-100)

CB=44+0.09(32.5-100)

CB=44+0.09\cdot -67.5

CB=44-6.075=37.925    

37.925\neq26.225

4. Let us substitute m= 764 in both equations.

CA=22+0.13m

CA=22+0.13\cdot 764

CA=22+99.32=121.32

CB=44+0.09(m-100)

CB=44+0.09(764-100)

CB=44+0.09\cdot 664

CB=44+59.76=103.76  

121.32\neq103.76

Therefore, 4th option is incorrect.




3 0
3 years ago
How many square feet of outdoor carpet will we need for this hole? HELP PLS!!!
Otrada [13]

Answer: The answer is 39 square feet.

Step-by-step explanation:

By saying square feet it's indicated that you mean the area of this irregular figure.

To do this you can break apart the shape into two pieces.

The first 11 x 3 rectangle then the 2 x 3 rectangle.

Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.

7 0
2 years ago
Determine the y-intercept and slope and then write the equation for this table.*​
Novosadov [1.4K]

Answer:

The y-intercept is 15 and the slope is 5.5

y=5.5x+15

Step-by-step explanation:

4 0
3 years ago
Please answer soon!! Thank you!!
Kipish [7]
A (-12,-8), B(6,-3), C(3,3)
4 0
2 years ago
THIS IS FOR STATISTICS (PAIRED T-TEST)
AleksandrR [38]

Answer:

Oh Ana significa familia

Step-by-step explanation:

6 0
2 years ago
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