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3 years ago

Three students were given the expression shown to simplify.

Mathematics

2 answers:

Pavel [41]3 years ago

8 0

Step-by-step explanation:

Answer:

Calvin: incorrect, sign error

Greg: incorrect, has no relationship to the given expression

Ruben: incorrect, sign error

Equivalent expresssion: 7 92(4x -11)

Explanation:

The two terms on the right, -8x and +22, have even coefficients, so a factor of 2 can be factored out. If we do that, then these two terms become ...

... 2(-8x/2 +22/2) = 2(-4x +11)

We could, instead, factor out -2 so the x-coefficient inside parentheses is positive:

... -2(-8x/-2 +22/-2) = -2(4x -11)

Note that the signs of the two terms inside parentheses are different no matter which way we do it.

Equivalent expressions

Calvin could have written: 7 -2(4x -11)

Ruben could have written: 7 +2(-4x +11)

Greg could have written: 8(2 -x) -1. He would have rearranged the expression to 16 -8x -1 before doing so.

kow [346]3 years ago

6 0

Answer:

not sure which one?

Step-by-step explanation:

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Yuliya22 [10]

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

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x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

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blondinia [14]

Answer:

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Step-by-step explanation:

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2 years ago

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Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig

Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

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:

$\mu = 3466, \sigma = 546$

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

$Z = \frac{2500 - 3466}{546}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384

3.84% probability that it has a low birth weight

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3 years ago

42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0

almond37 [142]

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:

-3 ± √21

x = -----------------

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3 years ago

Write an equation in standard form for the line that has undefined slope and passes through (-6, 4)

Nikitich [7]

Answer:

y = ix + 6i + 4

Step-by-step explanation:

Since the line has undefined slope or indefinite slope we connote that the slope is (i)

Slope(m) of straight line = change in y ÷ change in x

Taking another point (x,y) on the line:

i = $\frac{y - 4}{x - -6}$

i = $\frac{y - 4}{x + 6}$

Cross multiplying gives;

y - 4 = ix + 6i

y = ix + 6i + 4

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3 years ago