All categories

1 year ago

Find the quotient. (5x4 – 3x2 4) ÷ (x 1)

Mathematics

2 answers:

Alexxx [7]1 year ago

6 0

Answer:

$5x^3-5x^2+2x-2$

Step-by-step explanation:

Since,

Dividend = Quotient × Divisor + remainder

Here, the given problem is,

$(5x^4-3x^2+4)\div (x+1)$

By the long division ( shown below),

We get,

$5x^4-3x^2+4=(5x^3-5x^2+2x-2)(x+1)+6$

Since, (x+1) is the divisor,

Thus, the Quotient of the given problem is,

$5x^3-5x^2+2x-2$

Vlada [557]1 year ago

4 0

Keywords:

Divide, polynomial, quotient, divisor, dividend, rest

For this case, we must find the quotient by dividing the polynomial $(5x ^ 4-3x ^ 2 + 4)\ by\ (x + 1)$ . We must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the rest, as shown in the attached figure. At the end of the division, to verify we must bear in mind that:

$Dividend = Quotient * Divider + Remainder$

Answer:

See attached image

You might be interested in

Howmet Corporation needs $200,000 in 5 years.

Bogdan [553]

:)
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/n)]
So we need to solve for pmt
Pmt=fv÷[(1+r/k)^(kn)-1)÷(r/n)]
Pmt=200,000÷(((1+0.10÷4)^(4×5)
−1)÷(0.10÷4))=7,829.43...answer

Hope it helps

3 0

1 year ago

The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles

Ksju [112]

9514 1404 393

Answer:

96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

V = LWH

V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

7 0

2 years ago

A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a

Musya8 [376]

Answer:

Check Explanation

Step-by-step explanation:

A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

Mathematically,

H₀: μ₀ = 0.53

And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.

Mathematically,

Hₐ: μ₀ < 0.53

B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.

D) The standard error of the mean used in computing the t-score is given as

σₓ = (σ/√n)

It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

Hope this Helps!!!

7 0

1 year ago

Elly's room measures 78 inches by 96 inches. Sarah's room measures 66 inches by 108 inches. They want to combine their rooms. Ho

frozen [14]

Okay add 78 and 66. Then add 96 and 108. It should be 144 by 204. I know math is hard, but when you work at it you can do amazing things! I hope that helps you.

7 0

1 year ago

Read 2 more answers

How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?

tatuchka [14]

So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> 73 - 17 = 73 x 6 - 17 x 8 
 8 6 8 x 6 6 x 8
=> 438 – 136 Now, we have the same denominator, subtract
 48 48
=> 302 or 151
 48 24
=> 6 7
 24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.

4 0

1 year ago