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2 years ago

(x^2-2x-48) divided by (x+5)

Mathematics

1 answer:

Lena [83]2 years ago

7 0

Did you know you could do this division using the approach "synthetic division?"

The coefficients of the dividend x^2 - 2x - 48 are 1, -2 and -48. The divisor x+5 yields the divisor -5 for use in synthetic division. Proceeding with the synthetic div.:

--------------------

-5 / 1 -2 -48

-5 35

----------------------

1 -7 -13

Thus, the quotient is 1x - 7 with a remainder of -13. This also means that if we substitute -5 for x in the original function, the result will be -13.

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Marla did 65 sit-ups each day for one week. Write an expression using the Distributive Property to find the total number of sit-

n200080 [17]

65*7=(1+1+1+1+1+1+1)=65+65+65+65+65+65+65=455 she did 65 sit ups every day for one week the expression is right there the answer to solve it is 455. :)

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3 years ago

(ASAP NEED TO SUBMIT NOW!!!) What is the Unit Rate for each cyclist?

sveta [45]

Answer:

Unit rates for cyclist A , B, C , D are 12 mile/ hour , 5 mile/hour, 9 mile/hour and 10 mile/hour respectively. Cyclist A is the fastest among the four.

Step-by-step explanation:

Cyclist A can ride 24 miles in 2 hours

so, cyclist A's unit rate is, $\frac {24}{2}$

= 12 mile/hour

Cyclist B's unit rate is, $\frac {5}{1}$

= $\frac {10}{2}$

= $\frac {15}{3}$

= 5 mile/hour

Equation for cyclist C is, y = 9x ,

so, cyclist C's unit rate is , 9 mile/hour

Slope of the graph for cyclist D,

= $\frac {10 -0}{1 - 0}$

= 10

So cyclist D's unit rate is, 10 mile/hour

So, cyclist A is the fastest.

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3 years ago

Lawrence is making 10 gift baskets. The table shows the food he has bought for the baskets . if the food it divided evenly , how

IrinaVladis [17]

Answer:

i cant awnser

Step-by-step explanation:

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1 year ago

What is the value of n?

vfiekz [6]

The 2 segments of each chord, when multiplied by each other need to equal each other.

In the image one chord is made up of 4 cm and 6 cm and the 2nd chord is made up of 3 cm and n

Setting p the equation to solve for n you have:

4 x 6 = 3 x n

Simplify:

24 = 3n

Divide both sides by 3:

n = 24/3

n = 8 cm

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2 years ago

As part of a project about response bias, Ellery surveyed a random sample of 25 students from her school. One of the questions i

vazorg [7]

Answer:

a. We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. The length would increase.

c. The interval would be narrower.

d. The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Margin of error of a confidence interval:

$M = z\frac{\sigma}{\sqrt{n}}$

In which z is related to the confidence level(higher the confidence level, higher z) $\sigma$ is the standard deviation of the population and n is the size of the sample.

This shows that if we increase the confidence level, the margin of error gets larger and the interval gets wider, while if we increase the sample size the margin of error gets smaller and the interval gets narrower.

a. Interpret the confidence level.

We are 90% sure that the mean GPA for all students at her school is between 3.14 and 3.52.

b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.

We would increase the confidence level, and the interval would get wider, that is, the length would increase.

c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?

Larger sample size means that the interval would be narrower.

d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error.

The biggest potential source of bias is making the students state their grades aloud, which makes it possible that students with low grades could lie their grades, making it seem higher, and the interval biased.

8 0

3 years ago