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alex41 [277]
3 years ago
7

Divide x^3-3x^2-10x+24 by x-1

Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer:

x^2 - 2x - 12 with remainder 12

Step-by-step explanation:

Synthetic division is the fastest way in which to carry out this division.

The divisor (x - 1) from long division corresponds to the divisor 1 in synthetic division.  Setting up synthetic division, we get:

1     /      1     -3     -10     24

                     1      -2     -12

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

             1      -2     -12      12

The first three digits {1, -2, -12} are the coefficients of the quotient, and 12 represents the remainder:

The quotient is 1x^2 - 2x - 12 and the remainder is 12.

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Uniforms are in package of 8 . There are 127 people each person gets 3 uniforms how many packages will store need to order
lora16 [44]
Given:
uniforms in a package of 8.
127 people with 3 uniforms each.

127 x 3 = 381 uniforms

381 ÷ 8 = 47.625 ⇒ 48 packages

The store will need to order 48 packages of uniforms to fulfill the uniform requirement of 127 people. There will also be 3 uniforms left in excess of the 48 packages.

48 * 8 = 384
384 - 381 = 3 excess uniform

7 0
3 years ago
HELP ME NOWWWWWW LIKE JUST GIVE ME THE ANSWER PLEASEEEEE
Minchanka [31]

Answer:

$997

Step-by-step explanation:

Okay, so the first thing you need to do is find how much commission Luis received so that we can add that to the base salary. To do that, we could set up a proportion.

Since percentages are out of 100, we'll need to put 14 over 100. Because $6050 is the total amount he sold, we'll put that number in the denominator corresponding to the total, or 100. The proportion will look somewhat like the following:

\frac{14}{100} =\frac{x}{6050}

To find X, we have to multiply across (14 × 6050, which is 84700) then divide that by 100 (or the denominator right on the other side), which would result in 847.

So... X = $847. Now we add that to the base salary (150 + 847), and that gets us $997 for the total he was paid last week.

I apologize for taking so long to help ^-^;

5 0
3 years ago
Wth is -5/6 as a whole number or decimal?
andriy [413]

Answer: -0.833

Step-by-step explanation:

Calculate the approximate value.

3 0
3 years ago
There are two numbers which sum to 23. If one number is seven less than four times the other, find the numbers.
mart [117]

Answer:

Numbers are 6 and 17.

Step-by-step explanation:

Let the two numbers are 'a' and 'b'.

"Sum of these numbers = 23"

a + b = 23 --------(1)

"One number is 7 less than 4 times the other"

a = 4b - 7 ---------(2)

Substitute the value of 'a' in equation (1) from equation (2)

(4b - 7) + b = 23

5b - 7 = 23

5b = 23 + 7

5b = 30

b = 6

From equation (2),

a = 4b - 7

a = 4×6 - 7

a = 24 - 7

a = 17

Therefore, the numbers are 6 and 17.

8 0
3 years ago
Answer this question
andreyandreev [35.5K]

Answer:  OPTION B.

Step-by-step explanation:

We have the following functions f(x) and g(x):

f(x)=x^2-2x-8\\\\g(x)=\frac{1}{4}x-1

In order to find for which values of "x" f(x)=g(x), we can check each option given:

<u>OPTION A</u>

Substitute x=-1.75 into the function f(x) and evaluate:

f(-1.75)=(-1.75)^2-2(-1.75)-8=-1.4375

 Substitute x=-1.75 into the function g(x) and evaluate:

g(-1.75)=\frac{1}{4}(-1.75)-1=-1.4375

Substitute x=-1.438 into the function f(x) and evaluate:

f(-1.438)=(-1.438)^2-2(-1.438)-8=-3.0561

Substitute x=-1.438 into the function g(x) and evaluate:

g(-1.438)=\frac{1}{4}(-1.438)-1=-1.3595

This is not the correct option.

<u>OPTION B</u>

We already know that:

f(-1.75)=-1.4375

g(-1.75)=-1.4375

Substitute x=4 into the function f(x) and evaluate:

f(4)=(4)^2-2(4)-8=0

Substitute x=4 into the function g(x) and evaluate:

g(4)=\frac{1}{4}(4)-1=0

<em> This is the correct option.</em>

<u>OPTION C</u>

We already know that:

 f(-1.438)=-3.0561

 g(-1.438)=-1.3595

Therefore, this is not the correct option.

<u>OPTION D</u>

We already know that:

f(4)=0

g(4)=0

Substitute x=0 into the function f(x) and evaluate:

f(0)=(0)^2-2(0)-8=-8

Substitute x=0 into the function g(x) and evaluate:

g(0)=\frac{1}{4}(0)-1=-1

This is not the correct option.

7 0
3 years ago
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