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arlik [135]
3 years ago
5

Match each system of linear equations with the correct number of solutions

Mathematics
2 answers:
nadezda [96]3 years ago
4 0

Answer:

1 - No solution

2 - Infinitely many solutions

3 - One solution

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.

1) - No solution

This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.

2) - Infinitely many solutions

We need to convert into slope-intercept.

y = -x + 4

y = -x + 4

Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.

3) - One solution

Slope-intercept,

y = -3x + 11

y = -1/3x + 1/3

Because both slopes are y-intercepts are different they have only one solution.

<em>Hope this helps :)</em>

kondaur [170]3 years ago
3 0

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

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At any point in time, there could be bicycles, tricycles, and
Aleksandr-060686 [28]

Answer:

There may be 1 or 3 tricycles in the parking lot.

Step-by-step explanation:

Since at any point in time, there could be bicycles, tricycles, and cars in the school parking lot, and today, there are 53 wheels in total, if there are 15 bicycles, tricycles, and cars in total, to determine how many tricycles could be in the parking lot, the following calculation must be performed:

13 x 4 + 1 x 3 + 1 x 2 = 57

11 x 4 + 1 x 3 + 3 x 2 = 53

10 x 4 + 3 x 3 + 2 x 2 = 53

8 x 4 + 5 x 3 + 2 x 2 = 51

10 x 2 + 1 x 3 + 4 x 4 = 39

9 x 3 + 1 x 2 + 5 x 4 = 49

Therefore, there may be 1 or 3 tricycles in the parking lot.

6 0
2 years ago
How do you write 72% as a fraction and as a decimal?
statuscvo [17]
72% as a decimal is 0.72.

72% as a fraction is 72/100 = 18/25.
8 0
3 years ago
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A. The seats are divided into 40 different sections thats are given in only 5 sections, what
SVETLANKA909090 [29]
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3 0
3 years ago
the bottom of a ladder must be placed 10 feet from a building. The ladder is 26 feet. How far above the ground does the ladder t
Sauron [17]

Answer:

<em>The ladder touches the wall at 24 feet from the ground.</em>

Step-by-step explanation:

The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.

In any right triangle, we can apply Pythagora's theorem to find any missing side length.

The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

26^2=10^2+H^2

Calculating:

676=100+H^2

Solving:

H^2=676-100

H^2=576

H=\sqrt{576}

H=24 feet

The ladder touches the wall at 24 feet from the ground.

8 0
3 years ago
A binomial probability distribution has p = .20 and n = 100.
AleksAgata [21]

Answer:

Mean = 0.2(100) = 20

Variance = 0.2×0.8×100 = 16

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Yes, np > 5 & nq > 5

3 0
3 years ago
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