Consider functions f and g.



Which expression is equal to f(x) ⋅ g(x) ?

Consider Functions F And G.Which Expression Is Equal To F(x) G(x) ?

Answers

Answer 1

Answer:

C

x-2 / x+6

Step-by-step explanation:

I did the math

(I am not 100% sure though, so if I am wrong, someone please mention it!)

Answer 2

The function f(x) . g(x) is a composite function, and the value of f(x) . g(x) is (x- 2)/(x + 6)

What is a composite function?

A composite function is a function formed by combining multiple independent functions

The functions f(x) and g(x) are given as:

[tex]f(x) = \frac{x + 12}{x^2 + 4x- 12}[/tex]

[tex]g(x) = \frac{4x^2 - 16x+ 16}{4x+ 48}[/tex]

The composite function f(x) . g(x) is calculated using:

[tex]f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4x^2 - 16x+ 16}{4x+ 48}[/tex]

Expand the functions

[tex]f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4(x^2 - 4x+ 4)}{4(x+ 12)}[/tex]

Cancel out the common factors

[tex]f(x) \cdot g(x) =\frac{1}{x^2 + 4x- 12} * \frac{x^2 - 4x+ 4}{1}[/tex]

Further, expand

[tex]f(x) \cdot g(x) =\frac{1}{(x -2)(x + 6)} * \frac{(x - 2)(x - 2)}{1}[/tex]

Cancel the common factors

[tex]f(x) \cdot g(x) =\frac{x- 2}{x + 6}[/tex]

Hence, the value of f(x) . g(x) is (x- 2)/(x + 6)

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Related Questions

a data set has a mean 25 and standard deviation 5 find the z score of 39

Answers

The answer to your question is 14/5

Answer:

[tex]\boxed {\boxed {\sf z=2.8}}[/tex]

Step-by-step explanation:

The z-score helps describe a value's relationship to the mean. It tells us how many standard deviations a value is from the mean. The formula is:

[tex]z= \frac{x- \bar x}{s}[/tex]

where x is the value, x-bar is the mean, and s is the standard deviation.

We know the data set has a mean of 25 and a standard deviation of 5. The value we are finding the z score for is 39.

x= 39 x-bar= 25 s=5

Substitute the values into the formula.

[tex]z= \frac{ 39-25}{5}[/tex]

Solve the numerator.

[tex]z= \frac{ 14}{5}[/tex]

[tex]z=2.8[/tex]

The z-score for 39 is 2.8. This means a value of 39 is 2.8 standard deviations greater than the mean.

help me and ily :))))

Answers

Answer:

i = Could be true (C)

ii = False (F)

iii = Definitely true (D)

Hope this helps :-)

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

what is the measure of DC?
A. 39
B. 117
C. 78
D. 24

Answers

I believe the answer to the question is 78

Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!

Answers

Answer:

A, because x>3 or x<-4

Answer: D is the answer.

-4 < x < 3

Step-by-step explanation:

5x-2>-22 and 6x - 7 < 11

5x > -20 and 6x < 18

x > -4 and x < 3

Rearrange: -4 < x < 3 answer choice D

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is z, and Y Z is x.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer.

2.7 units
3.2 units
4.5 units
5.3 units

Answers

Answer:

3.2 units

Step-by-step explanation:

Use the law of sines

z/sin 76 = 2.6/sin 51

z = 2.6 sin 76/sin 51 = 3.2

Find the measure of angle 1, 3, and 4.

Answers

Answer:

1) 60

3) 120

4) 60

Step-by-step explanation:

Angle 1 is supplementary to your known angle. Therefor, Angle 1 is 180 - 120

Angle 3 is supplementary to Angle 1 and equal to 120

Angle 4 is supplementary to Angle 3 and equal to angle 1.

Select the correct answer. Which of the following best describes physical science? Ο Α. the study of motion OB. the study of matter and energy O c. the study of Earth's structure and processes OD the study of reactions Ο Ε. the study of living things​

Answers

Answer: Its Easily B The Question Is Easy

Answer:

Option B

Step-by-step explanation:

PLATO.

1. In which quadrant does θ lie given that sinθ>0 and cosθ<0?


Quadrant I


Quadrant II


Quadrant III


Quadrant IV

Answers

Answer:

[tex]\theta[/tex] is in quadrant II

Step-by-step explanation:

Given

[tex]\sin(\theta) > 0[/tex] and [tex]\cos(\theta) < 0[/tex]

Required

Where is [tex]\theta[/tex]

[tex]\sin(\theta) > 0[/tex] and [tex]\cos(\theta) < 0[/tex] imply that

[tex]\theta[/tex] is in quadrant II

Because that is only quadrant where [tex]\sin(\theta) > 0[/tex] and [tex]\cos(\theta) < 0[/tex] exist.

Answer:

Quadrant II

Step-by-step explanation:

just took the test :D

have a miraculous day!!! <3

Find the Value of X. Thanks.

Answers

Answer:

x = 90

Step-by-step explanation:

This will add up to 360 degrees in total

90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!

help me with this math question it is 4-36=x-180​

Answers

Answer:

4-36 = -32

-32 + 180 = 148

Therefore | x = 148

I hope I helped! :)

Answer:

148

Step-by-step explanation:

=> -32=x-180

=> -32+180=x

=> 148=x

Mark me brainliest :))

I NEED HELP WITH GEOMETRY PLEASE HELPPPPPPPPPPPPPPPP

Answers

Answer:

need help too

Step-by-step explanation:

find the value of x pls help me

Answers

Answer: 46°

Please ignore this, I do not have enough characters to share this answer unless I put a bunch of random stuff.

For which value of x is the equation 2(1 + x) = x+3 true?
a.1
b.2
c.3
d.4

Answers

Answer:

a. 1

Step-by-step explanation:

Replace 1 with x

2 ( 1 + 1 ) = 1 + 3

2 ( 2 ) = 1 + 3

4 = 1 + 3

4 = 4

4) Chelsea has homework in six subjects.
She is deciding what order to complete
them in

Answers

Answer:

This isn't really a math problem since there aren't many numbers or variables provided to create an equation. So Chelsea can complete her homework in any order of her choice, but I would say that she should complete the homework that's due first before moving onto the more recent homework that was given.

A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value

Answers

Answer:

cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d

A donkey eats three fifths of a hay bale a week.
How many bales does he eat in 10 weeks?

Answers

Answer:

Step-by-step explanation:

the donkey eats 3/5 of hay bale a week

3/5 x 2 = 6

the donkey eats 6 hay bales in 10 weeks

The amount of bales the donkey eats in 10 weeks is 6 bales.

Given,

A donkey eats three-fifths of a hay bale a week.

We need to find out how many bales he eats in 10 weeks.

How do we compare two quantities?

Example:

2 miles in 1 hour

2 miles = 1 hour

To find miles in 4 hours we multiply both sides by 4.

4 x 2 miles = 4 x 1 hour

8 miles = 4 hours

We have,

Donkey eats:

3/5 bales = 1 week ____(1)

In 10 weeks:

Multiply 10 on both sides of (1)

10 x 3/5 bales = 10 x 1 week

6 bales = 10 weeks

Thus the amount of bales the donkey eats in 10 weeks is 6 bales.

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GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.

Answers

Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

Answer:

110 cm²

Step-by-step explanation:

17 · 8

136 cm²

4 · 1.5

6 cm²

5 · 4

20 cm²

20 cm² + 6 cm²

26 cm²

136 cm² - 26 cm²

110 cm²

I PROMISE TO GIVE BRAINLIEST BUT ONLY IF YOU ANSWER CORRECTLY

Before they graduate from Great Lakes High School, all 12th grade students fill out a survey about their future college plans.


Are you attending an in-state college after high school graduation?
Will you begin college during the summer semester?
The same group of students are asked to answer yes or no to both questions. The students’ responses were recorded on the table below.

Determine the probability that a student will begin college during the summer semester and attend an in-state college.
Determine the probability that a student will begin college during the summer semester given that he is attending an in-state college.

Answers

The probability is P = 0.894

How to get the probabilities?

a) Determine the probability that a student will begin college during the summer semester and attend an in-state college.

The probability is given by the quotient between the number of students that start on summer semester and attend to an in-State college, and the total number of students that start on the summer semester.

The number of students starting on the summer semester is:

178 + 21 = 199

Of these 199 students, 178 will attend to an in-state college, so our probability is:

P = 178/199  = 0.894

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I need help on this question

Answers

Answer:

well first figure out the area of the parallelograms and divide the full area by the area of the pieces.

Step-by-step explanation:

45 cm
60 om
What is the length of the hypotenuse?
centimeters?

Answers

Answer:

Answer:

Length of leg of triangle =  

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

Putting the values:

So, the length of leg of triangle =

Step-by-step explanation:

75cm
45squared times 60squared then take the square root of that answer

Below is the normal distribution curve for height (inches) of NBA basketball players.

What is the standard deviation?

Answers

Answer:  standard deviation = 8

This is because mu = 75 is the mean, which is at the very exact center of this distribution. One space to the right is 83, which is 83-75 = 8 units away from the center. This distance is exactly one standard deviation. We can say "83 is one standard deviation larger than 75".

Or you could note the distance from 67 to 75 is also 8, because 75-67 = 8. Each tickmark represents stepping one standard deviation in distance.

4/7=x/12 round to the nearest tenth

Answers

Answer:

6.9

Step-by-step explanation:

I will use cross-multiplication for this problem:

[tex]\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857[/tex]

Rounded to tenths:

6.9

Ty has a $30 gift card. He already bought a $9 book, and wants to buy $3
journals. How many journals can she buy without going over the card's
limit?

Answers

Answer:

ty can buy 7 journals

Step-by-step explanation:

Answer:

7 Journals

Step-by-step explanation:

$30-$9=$21

$21/$3=7

Choose the inequality that represents the following graph.


(Choice A)
A
x < -4x<−4x, is less than, minus, 4

(Choice B)
B
x \leq -4x≤−4x, is less than or equal to, minus, 4

(Choice C)
C
x > -4x>−4x, is greater than, minus, 4

(Choice D)
D
x \geq -4x≥−4

Answers

Answer:

c

my-step explanation:

Khan acadimy

The inequality that represents the following graph is C. x > -4

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement which compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to show relationships between quantities or to express constraints or conditions.

The inequality that represents the graph;

x > -4x>−4x, is greater than, minus, 4

x > -4

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10
25°
Х
find value of
triangles

Answers

Answer:

x = 21.4

Step-by-step explanation:

Reference angle (θ) = 25°

Opposite = 10

Adjacent = x

Apply trigonometric function, TOA:

Tan θ = Opp/Adj

Tan 25 = 10/x

x*Tan 25 = 10

x = 10/Tan 25

x = 21.4450692 ≈ 21.4 (nearest tenth)

hello!!! i’ll give brainliest if you want but please answer correctly

Answers

Answer:

The answer is flint sickles

Step-by-step explanation:

The answer is A. Those were the things they used to plant, or a type of technology used for that kind of job or source. Hope this helps!

there are 5 smiles Linda mad one a fawn haw many smiles are there now

Answers

Answer:

4

Step-by-step explanation:

5 smiles - 1 = 4 smiles

Answer:

I think there are still 5 smiles. I dont know

If a cyclist can ride 340.24 km in 5 days, how many km can he ride in 3 days?

Answers

Answer:

204.14

Step-by-step explanation:

340.24 km in 5 days is 68.05 km a day, multiply by 3 to get total km in 3 days

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