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Anarel [89]
3 years ago
15

What is the result of the following division?

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

For this case we must indicate the result of the following expression:

\frac {2x ^ 3-3x + 5} {x + 3}

We must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

Answer:

See the attached image

Option A

iogann1982 [59]3 years ago
7 0

Answer: Choice A

Step-by-step explanation:

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Need help again please...
Greeley [361]
40 - 4 = 36

average = 36/9 = 4

answer
average number of members who joined the math club is 4 per month

5 0
3 years ago
A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i
s344n2d4d5 [400]

Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

4 0
3 years ago
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0
2 years ago
You need to buy 12 pounds of chicken for a barbecue that you are planning. You found an ad in the Northwest Florida Daily News t
Keith_Richards [23]

Answer:

yes

Step-by-step explanation:

The difference in the cost per pound is $6.

For 12 lb, the total difference in $6 × 12 = $72.

If the Fresh Market is close enough and you have the time, it is worth the drive since you will save $72.

5 0
2 years ago
What is the length of AB?<br> O A. 9<br> O B. 18<br> O C. 48<br> D. 6
insens350 [35]
<h3>Answer:  A.  9</h3>

=====================================================

Explanation:

Draw in the segments AO and OC.

Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.

Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.

Then we can say:

AB+BC = AC .... segment addition postulate

AB+AB = AC .... plug in BC = AB

2*AB = AC

2*AB = 18

AB = 18/2 .... divide both sides by 2

AB = 9

In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.

6 0
2 years ago
Read 2 more answers
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