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3 years ago

Someone help me please and thank you!! ASAP :(

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

<h3>Answer: Choice D) </h3>

Work Shown:

$(f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\$

We must require that $x \ne -12$ and $x \ne 3$ to avoid having 0 in the denominator. This is why choice D is the answer.

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Alenkasestr [34]

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6 0

3 years ago

Solve the inequality for x. 12x >9(2x-3)-15 show each step to the solution

monitta

12x >9(2x-3)-15

distribute

12x> 18x-27-15

combine like terms

12x>18x -42

subtract 18x from each side

12x -18x >18x-18x-42

-6x>-42

divide by -6 which will flip the inequality

-6x/-6<-42/-6

x<7

7 0

3 years ago

Read 2 more answers

Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB

anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

3 0

3 years ago

HELP ME PLEASEE

babymother [125]

From the given discrete distribution, we have that:

$\mu = 2.13, \sigma^2 = 0.61, \sigma = 0.78$

<h3>What are the mean, the variance and the standard deviation of a discrete distribution?</h3>

The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

The variance is given by the sum of the difference squared between each observation and the mean, divided by the number of values.

The standard deviation is the square root of the variance.

In this problem, the distribution is:

$P(X = 1) = \frac{2}{8}$

$P(X = 2) = \frac{3}{8}$

$P(X = 3) = \frac{3}{8}$

Hence, the mean is:

$\mu = 1\frac{2}{8} + 2\frac{3}{8} + 3\frac{3}{8} = \frac{17}{8} = 2.13$

The variance is:

$\sigma^2 = (1-2.13)^2\frac{2}{8} + (2-2.13)^2\frac{3}{8} + (3-2.13)^2\frac{3}{8} = 0.61$

The standard deviation is:

$\sigma = \sqrt{0.61} = 0.78$

More can be learned about discrete distributions at brainly.com/question/24855677

4 0

2 years ago

HELP PLEASE ASAP!!!!

forsale [732]

The measure of angle m∠PZQ is 63degrees.

<h3>How to find an angle?</h3>

A point where two or more line segments meet is called a vertex.

The vertex point also forms an angle.

Therefore,

point P is in the interior of ∠OZQ,

Hence,

<OZQ = <OZP + m∠PZQ

The following angles are given:

m∠OZQ = 125°

m∠OZP = 62°

Substitute the given values into the expression above:

125 = 62 + m∠PZQ

m∠PZQ = 125 - 62

m∠PZQ = 63°

Therefore, the measure of the angle m∠PZQ is 63degrees

learn more on angles here: brainly.com/question/11000242

#SPJ1

3 0

2 years ago