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3 years ago

Solve the system using elimination. Show your work! (6 pts) (7x + 10y = 11 (4x + 3y = -10

Mathematics

1 answer:

Sholpan [36]3 years ago

5 0

Answer:

x=-7

y=6

Step-by-step explanation:

7x+10y=11

4x+3y=-10

-3(7x+10y=11

10(4x+3y=-10

-21x-30y=-33

40x+30y=-100

19x = -133 (divide 19 on both sides)

x= -7

Now put the x in one of the original questions.

7(-7)+10y=11

-49+10y=11 (Add 49 to both sides)

10y=60 (Divide 10 on both sides)

y=6

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The length of a rectangle is 5 in longer than its width.

NeTakaya

Answer:

Length = 21

Width = 16

Step-by-step explanation:

We know that the formula for perimeter is:

P=2W+2L

And we also know that:

L=W+5

So then we put all that we know in the formula:

74=2W+2(W+5)

Now we expand the brackets and do some algebra:

74=4W+10 (-10)

64=4W (÷4)

16=W

Now that we know the width we can pop that into the length equation:

L=16+5

L=21

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3 years ago

Simplify the following expression. -7x²-2+5x+13x² - 15x

andreev551 [17]

Answer: 2(3x^2-5x-1) or 6x^2-10x-2

Step-by-step explanation: combine like terms, and then factor by grouping :)

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11 months ago

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JulijaS [17]

The answer is C 7v-1

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3 years ago

Read 2 more answers

Which of the following represents the coordinates of point A?

KiRa [710]

The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)

The appropriate choice is
(C) (11, 32/3)

_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)

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3 years ago

Assume that the random variable X is normally distributed with mean u = 45 and standard deviation o = 14.

larisa86 [58]

Answer:

P(57 < X < 69) = 0.1513

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 45, \sigma = 14$