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3 years ago

Which algebraic expression is equivalent to the expression below?

2 answers:

6 0

When you're adding and subtracting, the parenthesis are irrelevant. You can exclude them or put them wherever you want. (This is not true for multiplication/division.)

So in the problem we have three values: 3x, 11, 6x. None of the signs are going to change because there's no multiplication.

In theory, we could simplify this into 9x and 11, but the answers don't include a 9x, so we aren't doing that.

Which of the options listed has these exact same values of 3x, 11, 6x? B does.

A is not right because the 6x became negative.
C is not right because there's no possible way to solve for x.
D is not right because 11 does not multiply by x in the original problem, and the equation contains no multiplication.

prohojiy [21]3 years ago

3 0

You can again ignore the parenthesis because you are not distributing anything.
Your equation will look like this

3x + 11 + 6x

You can move each of these numbers around any way you like. You can combine the 3x and the 6x if you want, but they did not do that. You cannot take the x away and put it in front of the 11 though.

B. is your answer. All they did was move the 6x inside the parenthesis and the 11 out of the parenthesis.

Always remember, when you are adding things together, the parenthesis don't matter!

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The amount of Jen’s monthly phone bill is normally distributed with a mean of $75 and a standard deviation of $8. What percentag

nikklg [1K]

Answer:a is the answer

8 0

2 years ago

In a sample of 1000 cases, the mean of a certain test is 14 and the standard deviation is 2.5. Assume the distribution to be nor

Maslowich

Answer:

The top 20% of the students will score at least 2.1 points above the mean.

Step-by-step explanation:

When the distribution is normal, we use 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.

The mean of a certain test is 14 and the standard deviation is 2.5.

This means that $\mu = 14, \sigma = 2.5$

The top 20% of the students will score how many points above the mean

Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.

Their score is:

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

$0.84 = \frac{X - 14}{2.5}$

$X - 14 = 0.84*2.5$

$X = 16.1$

16.1 - 14 = 2.1

The top 20% of the students will score at least 2.1 points above the mean.

7 0

2 years ago

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp

Elden [556K]

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.

This is further explained below.

<h3>Who had a head start, and how big was the head start?</h3>

Generally, To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.

In conclusion, who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.

Read more about distance

brainly.com/question/15172156

#SPJ1

6 0

2 years ago

URGENTLY NEED HELP!!!

AysviL [449]

There is a designated formula for this circle drawing. This is a secant-secant scenario, and in this case, the formula is:

CD(CD+X)=CB(CB+AB)

Plug the values in.
AB=42
BC=18
CD=4

4(4+x)=18(18+42)
Solve for x.
16+4x=1080
4x=1064
x=266
Your answer is C

7 0

3 years ago

The polynomial equation x^3-4x^2+2x+10=x^2-5x-3 has complex roots 3+-2i What is the other root? Use a graphing calculator and a

kirill115 [55]

Answer:

B. -1

Step-by-step explanation:

x^3-4x^2+2x+10=x^2-5x-3

We know it has 3 roots since it is a 3rd degree polynomial.

Two of the roots are (3+2i) and (3-2i)

Subtract x^2-5x-3 from both sides

x^3-4x^2+2x+10-(x^2-5x-3)=x^2-5x-3 -(x^2-5x-3)

Distribute the minus sign

x^3-4x^2+2x+10-x^2+5x+3=x^2-5x-3 -x^2+5x+3

x^3 -5x^2+7x +13 =0

Graphing this equation , we see that it crosses the x axis at x=-1

That covers the three roots, 1 real and two complex

7 0

3 years ago