MATHEMATICS HIGH SCHOOL

What is the solution to the system of equations below?y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)

Answers

Answer 1
Answer:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equations

y=-6x-10

y=-3x-21

solving the system of the equations

Arrange the equation variables for elimination

\begin{bmatrix}y+6x=-10\n y+3x=-21\end{bmatrix}

y+3x=-21

-

\underline{y+6x=-10}

-3x=-11

\begin{bmatrix}y+6x=-10\n -3x=-11\end{bmatrix}

solve

-3x=-11

Divide both sides by -3

(-3x)/(-3)=(-11)/(-3)

x=(11)/(3)

\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=(11)/(3)

y+6\cdot (11)/(3)=-10

y+6\cdot (11)/(3)=-10

y=-32

Therefore, the solutions to the system of the equations are:

y=-32,\:x=(11)/(3)

But, it seems none of the options is true.
Answer 2
Answer:

Answer:

A. (2, -22)

Step-by-step explanation:

I just took the test and i got a one hundred! I really hope it helped!!!!

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Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5(m + 10) Which equation shows this formula solved for m? A. m =P − 5 / 10 B. m = 5P − 50 C. m = P − 50 / 5 D. m = P5 − 50
I think of a number multiply it by 3 and add 6 the result is 21 what is the number
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Which number best describes the number of stars you would find in a galaxy? A. hundreds B. thousands C. millions D. billions

Answers

D. there are much more stars in the galaxy than just billions, but this is the biggest that is given here.
Billions, although there are more.

Did you know that there are more stars than grains of sand on any beach? This is true and is really interesting.

Solve the systems of equations by graphing.

Answers

Answer:

I'm not that smart :/

Step-by-step explanation:

Which of the following statements is true? a) A 95% confidence interval is narrower than a 90% confidence interval for the same set of data. b) Increasing the sample size will decrease the margin of error in your confidence interval. c) The critical value is the variance of the sampling distribution. d) The point estimate is the measure of variation used in the computation of the margin of error. e) Smaller sample sizes produce larger margins of error because smaller samples always have larger standard deviations.

Answers

Answer:

The correct option is;

b)

Step-by-step explanation:

a) 95% Sample CI =  152.6395 to  153.3605; Range = 0.721 Wider

90%  Sample CI = 152.6975 to  153.3025; Range= 0.605 Narrower

b) Sample size ∝ 1/Error²

Therefore, increasing the sample will decrease the margin of error

c) The critical value is the value of the test statistic at the level of confidence

Variance = (Standard deviation)²

d) Point estimate is the mean or average, variation is the range or also the variance

e) Smaller samples have their relative standard deviations which does not depend on the sample size

-7x-2y=-13
-3x-2y=-12 by substitution

Answers

Answer: x = 0.25, y = 5.625 or ((1)/(4), (45)/(8))

Step-by-step explanation:

    To solve by substitution, we will first isolate one of the variables in one of the given equations.

         -7x - 2y = -13 ➜ y = -3.5x + 6.5

    Then, we will substitute this into the other given equation and solve for x.

         -3x - 2y = -12

         -3x - 2(-3.5x + 6.5) = -12

         -3x + 7x - 13 = -12

         4x = 1

         x = 0.25

    Lastly, we will substitute this value of x into the equation we solved for to find y.

         y = -3.5x + 6.5

         y = -3.5(0.25) + 6.5

         y = 5.625

Use your knowledge of similar triangles to solve for x

Answers

9514 1404 393

Answer:

  x = 10 2/3

Step-by-step explanation:

The ratios of corresponding sides are the same, so we have ...

  x/8 = 8/6

  x = 8·(8/6) = 64/6

  x = 10 2/3

How far will a jet travel in 2 hours and 30 minutes if its average speed is 450 miles per hour?

Answers

Distance = rate x time

D = 450 mph x 2.5 h
D = 1,125 miles
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