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mylen [45]
2 years ago
13

Please help! Which of the following is a solution to the system of two equations y = 3x - 7 and 4x - 5y = -20?

Mathematics
1 answer:
cluponka [151]2 years ago
4 0

Answer:

a

Step-by-step explanation:

y = 3x - 7 → (1)

4x - 5y = - 20 → (2)

substitute y = 3x - 7 into (2)

4x - 5(3x - 7) = - 20

4x - 15x + 35 = - 20

- 11x + 35 = - 20 ( subtract 35 from both sides )

- 11x = - 55 ( divide both sides by - 11 )

x = 5

substitute x = 5 into (1)

y = 3(5) - 7 = 15 - 7 = 8

solution is (5, 8 )

You might be interested in
Which question is a statistical question? A Which U.S. States have mountains?Which U.S. States have mountains? B Which mountain
erastovalidia [21]

Answer: C. How many mountain ranges are in the U.S.

Step-by-step explanation:

A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.

The only two questions here that would yield a numeric answer are options C and D.

Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.

This is opposed to option D which addresses issues surrounding just one mountain.

5 0
3 years ago
A basketball player's probability of making a free throw is 0.9. When the player makes two free throws in a row, X is the number
GrogVix [38]

Answer:

0.81

Step-by-step explanation:

P(success) = 0.9

P(failure) = 1 - 0.9 = 0.1

Binomial probability:

P(X=n) = nCr (0.9)^n (0.1)^r

Here, n=2 and r=0:

P(X=2) = ₂C₀ (0.9)² (0.1)⁰

P(X=2) = 0.81

5 0
3 years ago
Which is the graph of g(x) = ⌈x + 3⌉?
koban [17]

Answer:

I can not tell what the graphs are but you would set up a table and plug it into the x value to calculate the y value

Step-by-step explanation:

____x_________y_______

3                  !

2                  !

1

0

-1

-2

-3

this is assuming that your brackets would be a straight lines which would be an absolute value  

if this is the case, then no matter what the answer for y is . . .Y would always be a positive number with the exception of the 3 or the negative three that would result in a 0 value

I hope this helps

6 0
4 years ago
Please help me with all three! 25 Points!!
Gnoma [55]

a. 28 * 63

28 (60) + 28 (3) or 20 (60) +20 (3) + 8 (60) + 8 (3)

1680 + 84=1764     1200 / 60 +480 +24=1764


b. 17(59)

17 (50) + 17 (9)   or  10 (50) + 10 (9) + 7 (50) +7 (3)

850 + 153=1003         500 + 90 + 63 =1003


c.458 (15)

458 (10) +458 (5)   or  10 (400) + 10 (50) + 10 (8) + 5 (400) +5 (50) + 5 (8)

4580 +2290 = 6870       400 + 500 + 80 + 2000 + 250 + 40 = 6870

My work is kinda confusing but hope it helped

8 0
4 years ago
Determine if the following side lengths could form a triangle.
kykrilka [37]

Answer: Determine if the following side lengths could form a triangle.

Prove your answer with an inequality.

8,17,24

Step-by-step explanation:

Determine if the following side lengths could form a triangle.

Prove your answer with an inequality.

8,17,24

4 0
3 years ago
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