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3 years ago

Is the point (3, -2) a solution to the following system of equations? How do you know?

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2) is the solution.

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Y=1/2x+13

lora16 [44]

Answer:

1) y=1/2x+12

2)y=-2x+13

3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ=105 and a standard deviation sigma eq

Over [174]

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Step-by-step explanation:

Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ = 105 and a standard deviation sigma equals σ = 15

We need to find the probability that a randomly selected adult has an IQ less than 135

For the probability that X < b;

Convert b into a z-score using z = (X - μ)/σ, where μ is the mean and σ is the standard deviation
Use the normal distribution table of z to find the area to the left of the z-value ⇒ P(X < b)

∵ z = (X - μ)/σ

∵ μ = 105 , σ = 15 and X = 135

∴ $z=\frac{135-105}{15}=2$

- Use z-table to find the area corresponding to z-score of 2

∵ The area to the left of z-score of 2 = 0.97725

∴ P(X < 136) = 0.97725

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Learn more:

You can learn more about probability in brainly.com/question/4625002

#LearnwithBrainly

6 0

3 years ago

Choose the expression that is equivalent to both −x/y and x/−y.

astraxan [27]

Answer:

-x/-y

Step-by-step explanation:

3 0

3 years ago

If you borrow $700 for 5 years at

Otrada [13]

The amount you would pay altogether if you borrow $500 for 5 years at

an annual interest rate of 7% is $945.

<h3>How much would you pay altogether?</h3>

The amount you would pay altogether is the sum of the amount borrowed and the interest.

Total value of the debt = interest + amount borrowed

Interest = $700 x 7% x 5 = $245

Total value of the debt = $245 + $700 = $945

4 0

2 years ago

Please show your work :)

saul85 [17]

1. Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. To answer this question, plug in the values they have given you.

y=mx+b
y=1/4x-5

2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1

Remember: in an ordered pair, x comes first then y.

Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9

6-(-)2/-2-9= - 4/11.

The slope of your next equation would be m= - 4/11

3 0

3 years ago