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Tema [17]
3 years ago
14

Explain how you know if a system of equations has one solution, no solutions, or infinitely many solutions. Write your answers (

3) in Complete Sentences.
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Answer:

Written Below.

Step-by-step explanation:

A system of linear equations has one solution when the graphs intersect at a point. A system of linear equations has no solution when the graphs are parallel. A system of linear equations has infinite solutions when the graphs are the exact same line.

(This uses graphing.)

Sidenote: I hope this helps! :)

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What is the mean of the data set
jeyben [28]

To find mean all you have to do is add all the numbers up and divide ny how many numbers there are.  If you add them all together is equals 1295. now divide that number by the amount of numbers there are which is 10, and divide 1295 by 10.  You get 129.5

7 0
3 years ago
Find the value of x if line PQ is parallel to line RS where P(x,4),Q(3,2),R(-1,5) and S(2,4).
Alex73 [517]

The value of x if lines PQ and RS are parallel is: x = 9.

<h3>What is the Slope of Parallel Lines?</h3>

The slope values of two lines that are parallel to each other are always the same.

Slope = change in y/change in x

Thus, since PQ and RS are parallel to each other, therefore, their slope will be equal.

Given:

P(x,4)

Q(3,2)

R(-1,5)

S(2,4)

Slope of PQ = Slope of RS

(4 - 2)/(3 - x) = (5 - 4)/(-1 - 2)

2/(3 - x) = 1/-3

Cross multiply

(2)(-3) = (1)(3 - x)

-6 = 3 - x

-6 - 3 = -x

-9 = -x

9 = x

x = 9

Therefore, the value of x if lines PQ and RS are parallel is: x = 9.

Learn more about slope of parallel lines on:

brainly.com/question/10790818

8 0
3 years ago
You flip three coins. What is the probability of getting at least two heads? How do you know?
valkas [14]

Answer:

2/3

Step-by-step explanation:

4 0
3 years ago
What is the period and amplitude of the function?
nika2105 [10]
The period is 5. Start at x = 0 and trace the curve until you reach the same height as when you were at x = 0 (which is y = 3). The function repeats itself over again once you get to x = 5.

The amplitude is 2.5 since it is half of the vertical distance from the peak y = 3 to the valley y = -2. This distance is 5 units, half of which is 2.5
5 0
3 years ago
Margie has a $50 budget to purchase a $45 pair of boots if there is an 8% sales tax rate then how much under budget will Marjori
Lynna [10]
Boots + (Boots * Tax %) < $50 budget

$45 + ($45 * 8%) < $50
45 + (45 * 0.08) < 50
45 + 3.60 < 50
48.60 < 50

Subtract the total boot cost from the total budgeted amount.

= 50 - 48.60
= $1.40 under budget


ANSWER: She will be $1.40 under budget.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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