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ValentinkaMS [17]
3 years ago
6

Factor completely 3x(x + 2) + 4(x + 2). (1 point) (x + 2)(7x)

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

ANSWER

(x + 2)(3x + 4)

EXPLANATION

The given expression is

3x(x + 2) + 4(x + 2)

We can see that (x+2) is the greatest common factor.

We factor to obtain;

(x + 2)( 3x + 4)

The correct choice is C.

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A college faculty consists of 400 men and 250 women. The college administration wants to draw a sample of 65 faculty members to
galina1969 [7]

Answer:

The type of sample is Stratified sampling.

Step-by-step explanation:

Consider the provided information.

Types of sampling.

  • Random sampling is similar to placing the name of everyone in a hat and pulling out a few names.
  • In Systematic sampling, we list of elements is counted off.
  • Convenience sampling: data which is readily available is used. That is, the first people are running into by the surveyor.
  • In Cluster sampling, we divide the population into groups, usually geographically.
  • In Stratified sampling we divide population into groups called strata. but this time population might be separated into males and females.

Here the population is divided into groups of males and females therefore it is stratified sampling.

Hence, the type of sample is Stratified sampling.

5 0
3 years ago
A Clock had a radius of 5 inches. Find the distance the minute hand tracked from 2 to 6
Studentka2010 [4]

Answer:

9

Step-by-step explanation:

they are not in the middle so it has to be 9-8  i feel like its 9

hope this helps!

6 0
2 years ago
Are irrational numbers terminating
Artemon [7]

Hi,


Irrational Numbers are non-terminating.


Hope this helps.

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3 0
3 years ago
Karl is making a pot of chili. The recipe calls for 3/8 cup of chili powder, but Karl only wants to use half as much so it won’t
tresset_1 [31]

Answer:

KArl should use 3/16 cups of chili powder

Step-by-step explanation:

Given that:

Recipe's requirement : 3/8 cups

Karl wants to use half : 1/2

The given question involves fractions. When the number of cups has to be divided into half, it will be multiplied with 1/2.

So,

Multiplying the chili powder requirement of the recipe to 1/2

=\frac{3}{8} * \frac{1}{2}\\= \frac{3}{16}

Hence,

KArl should use 3/16 cups of chili powder

4 0
3 years ago
Read 2 more answers
Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).
Hitman42 [59]
<span>The two points that are most distant from (-1,0) are exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3) approximately (0.3333333, 1.885618) and (0.3333333, -1.885618) Rewriting to express Y as a function of X, we get 4x^2 + y^2 = 4 y^2 = 4 - 4x^2 y = +/- sqrt(4 - 4x^2) So that indicates that the range of values for X is -1 to 1. Also the range of values for Y is from -2 to 2. Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis. So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So y = sqrt(4-4x^2) distance is sqrt((x + 1)^2 + sqrt(4-4x^2)^2) =sqrt(x^2 + 2x + 1 + 4 - 4x^2) =sqrt(-3x^2 + 2x + 5) And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving -3x^2 + 2x + 5 Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative. d = -3x^2 + 2x + 5 d' = -6x + 2 And set d' to 0 and solve for x, so 0 = -6x + 2 -2 = -6x 1/3 = x So the furthest point will be where X = 1/3. Calculate those points using (1) above. y = +/- sqrt(4 - 4x^2) y = +/- sqrt(4 - 4(1/3)^2) y = +/- sqrt(4 - 4(1/9)) y = +/- sqrt(4 - 4/9) y = +/- sqrt(3 5/9) y = +/- sqrt(32)/sqrt(9) y = +/- 4sqrt(2)/3 y is approximately +/- 1.885618</span>
7 0
3 years ago
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