what is (f • g)(x)

f(x) = x^4 — 9
g(x) = x^3 + 9

Answers

Answer 1

Answer:

x^12 + 9x^4 - 9x^3 - 18

Step-by-step explanation:

When there is a circled in black dot in the middle of f and g, then it means to multiply. Using the distributive property and the FOIL method, the answer should be x^12 + 9x^4 - 9x^3 - 18.


Related Questions

Which statement describes the domain of the function f (x) = StartFraction 3 x Over 4 x squared minus 4 EndFraction?
all real numbers
all nonzero real numbers
all real numbers except x = Three-fourths
all real numbers except x = –1 and x = 1

Answers

Answer:

D

Step-by-step explanation:

i just used desmos, never touches x=1 or x=-1

The domain of a function is the set of x values for which it is defined. The correct option is D.

What is the domain and range of a function?

The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.

To find the domain of the function it needed to be simplified. Therefore, the function can be rewritten as,

[tex]f(x) = \dfrac{3x}{4x^2-4}\\\\f(x) = \dfrac{3x}{4(x^2-1)}[/tex]

As it can be seen that for the fraction of the value of x is kept -1 or 1, then the denominator of the function will become zero, which is undefined.

Hence, the domain of the given function is all real numbers except x = –1 and x = 1.

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In the expression below, what term will be distributed?
-3x?( 7x2 - x +4)

Answers

Answer:

-3x

Step-by-step explanation:

-3x( 7x2 - x +4)

When we distribute, the term on the outside of the parentheses is distributed ( multiplied) to the terms on the inside of the parentheses

-3x* 7x^2 -3x*-x -3x+4

-21x^3 +3x^2 -12x

The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply. ∠A corresponds to ∠A'. ∠A'AC' corresponds to ∠B. CB corresponds to C'A. Segment A'A is parallel to segment C'C. △ABC ~ △A'AC'.

Answers

Answer:

it is ∠A corresponds to ∠A'.

∠A'AC' corresponds to ∠B.

CB corresponds to C'A.

and △ABC ~ △A'AC'.

Step-by-step explanation:

i just did it and got it right

All the options are correct.
∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B. CB corresponds to C'A.
Segment A'A is parallel to segment C'C.
△ABC ~ △A'AC'.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Since
The dilation DO,3 (x, y) → (3x, 3y)
its pre image of △ABC
if its pre image than the two triangle remains identical to all condition hence every condition in the option is true.
pre image doe not depends on dilation factor.

Thus, all the options are correct

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I will need help how to work on it and answer

Answers

Answer: [tex]\frac{48}{100}[/tex]

Step-by-step explanation:

It says the total number of participants is 100, and the total number of male participants are 48.

Therefore, your fraction is 48/100, the number of males divided by the total participants

kala is in charge of planning a reception for 3400 people. she is trying to decide which snacks to buy. she has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results Brownies for 54 people, pretzels for 56 people potato chips for 52 people other for 63 people. based on the above sample predict the number of the people at the reception whose favorite snack will be brownies. round your answer to the nearest whole number. do not round any intermediate calculations

Answers

Answer:

816

Step-by-step explanation:

Find total number of people asked by adding all the people.

54 + 56 + 52 + 63 = 225

So, 54 out of 225 people have their favorite snack as brownies.

We need to find out how many it is for 3,400. We can do that by cross multiplying.

54      =     x        (did it like this so it's better visually)

225       3400

Multiply both sides by 3,400 and divide to get:

x = 816

NEED. HELP. PLEASE. !!!!!!!!!!!!!!!!!!!!!

Answers

i’m pretty sure it is c.
let me know if i’m wrong:)

Answer:

is d

Step-by-step explanation:

which estimator will consistently have a skewed sampling distribution?
A.) coefficient of variation
B.) median
C.) standard deviation
D.) variance ​

Answers

Answer:

other duds wrong its d variance

Step-by-step explanation:

im 100% sure

The correct answer is option (C) Standard Deviation.The estimator that consistently has a skewed sampling distribution is the standard deviation, especially when the original data is non-symmetric or skewed.

Among the given options, the estimator that will consistently have a skewed sampling distribution is the standard deviation. When estimating the standard deviation from a sample, the resulting distribution does not always follow a normal pattern, especially if the original data is skewed. The standard deviation is calculated using each data point's deviation from the mean, which can lead to skewed results in non-symmetric distributions.

For instance, in a skewed distribution with extreme values, the mean and subsequently the standard deviation can be disproportionately influenced by those extremities, hence failing to accurately reflect the spread of the majority of the data. Therefore, sometimes measures like the median, which is not as sensitive to outliers, are considered better representations of the central tendency in a skewed data set.

Additionally, the standard deviation is meaningful for symmetrical distributions, while skewed distributions require a consideration of other measures such as the modes, medians, or quartiles. When presented with data, always visualize it using a histogram or a box plot to better understand the distribution.

What’s the answer too 22+24

Answers

Answer:

46

Step-by-step explanation:

22

24   +

------

46

Just add the 4+2= 6 and 2+2= 4 and flip, so 46 is the final answer.

22 + 24 = 46 step by step

24. First u add 4 + 2 = 6
+ 22. Then u add 2 + 2= 4
Lastly u get 46

M-line is a company that prints and sells custom designs on t shirts. For each order, they charge an initial design fee and then an additional fee for each printed t shirt. M- line charges M euros per order. This charge is modeled by the lunar function M (x) = 5x + 40, where x is the number of t shirts in the order. Write down the initial design fee charged for each order.

Answers

Answer:

The initial design fee charged per order is 40

Step-by-step explanation:

From the question, we are told that the company charges an initial design fee then additional fee for each printed t shirt

Therefore, if the cost of an order is y, we have;

y = m·x+i

Where:

i = Initial design charge

m = additional fee for each printed shirt

x = number of shirts

Comparing the above equation with the given equation we have

y        = m·x + i

M (x)  = 5·x + 40  

Hence, where M(x) = y = Charge per order, then it is noted that the coefficient of x is the additional fee per printed shirt, therefore, the initial design fee charged per order, i is equivalent to 40

Hence the initial design fee charged per order = 40.

The expression - 2 (8t^2- 24t) represents the height, in feet, of a football t seconds after it is kicked. Which value represents the initial velocity
of the football?
A.8
B.16
C.24
D. 48

Answers

Answer:

d

Step-by-step explanation:

(01.02 LC)Simplify 9 − (−4).

Answers

Answer:

13

Step-by-step explanation:

When we subtract a negative, it is like adding

9 -  -4

9 +4

13

Answer:

13

Step-by-step explanation:

an item is regularly priced at $37. Bill bought it at a discount of 85% off the regular price. Find out how much Bill paid

Answers

Answer:

5.55

Step-by-step explanation:

Answer:

5.55

Step-by-step explanation:

If you find how much 85% is of 37 you will get 31.45, so you have to subtract 31.45 from 37 to find out how much he paid for I think :) Hope this helps

If you are given the endpoints of the diameter of a circle, which equatior
can you use to find the center?

Answers

Answer:

midpoint formula

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then

midpoint = [[tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

100 POINTS!!
Which graphs show functions with direct variation? Select three options.
A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).
A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).
A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

Answers

Answer:

its B,C,and E

Step-by-step explanation:

*ANSWER CORRECTLY FOR BRAINLISEST*

Answers

Answer:

Step-by-step explanation:

Mean = sum of all the data / Number of items

[tex]=\frac{26+30+45+43+26+14+28+33+56+29}{10}\\\\=\frac{330}{10}[/tex]

= 33

Answer:

oof my school blocked the picture

Step-by-step explanation:


PLZ ANSWER I HAVE A LIMITIED %IME TO ANSWER THIS QUESTION!!!
THIS IS MULTIPULE CHOICE QUESTION
Which option best illustrates the commutative property of multiplication?



a: n x 0 = n


b: n x 1 = n


c: n x 0 = n


d: n x 3 = 3 x n

Answers

Answer:

D.

Step-by-step explanation:

the commutative property of multiplication is that the numbers can be multiplied in any order and still get the same answer. which means n x 3 will get the same answer as 3 x n. Hope this helps!

Answer:

D

Step-by-step explanation:

why did you report me for telling you D? wth

(pls hurry)This cylinder is cut by the plane shown. The plane is parallel to the base of the cylinder. What is the shape of the cross-section?

Answers

Rectangle I believe

Answer:

circle

Step-by-step explanation:

i believe i've done this question and it was circle

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A.Use the distance formula to find the length of each side, and then add the lengths.
B.Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C.Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D.Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answers

The answer is A I’m pretty sure I studied them last semester

Answer:

Its A!!!! trust me

Step-by-step explanation:

PLEASE HELP
Arrange the functions in order from least to greatest rate of change.

Y=3/4 x -10
Y= 3/2 x 11/2
Y=1/2 x -2
Y=5/2 x +10

Answers

Answer:

Step-by-step explanation:

1.  1/2 *-2= -1

2. 3/4 *-10= -7.5

3. 3/2 *11/2= -8.25

4. 5/2 *+10= 25

hope this helps please give brainiest if right

the functions in order from least to greatest rate of change.

[tex]y=\frac{1}{2}x-2\\y=\frac{3}{4}x-10 \\y=\frac{3}{2}x+\frac{11}{2}\\y=\frac{5}{2}x+10\\[/tex]

Rate of change:

Slope of a line is the rate of change. Slope of a line tells us the steepness of the line. Equation of a line of the form y=mx+b

where m is the slope that is the rate of change.

Find the rate of change from each equation

[tex]y=\frac{3}{4}x-10\\slope =\frac{3}{4}\\\\y=\frac{3}{2}x+\frac{11}{2}\\slope =\frac{3}{2}\\\\y=\frac{1}{2}x-2\\slope =\frac{1}{2}\\\\y=\frac{5}{2}x+10\\slope =\frac{5}{2}\\[/tex]

Now we compare all the slopes

Slopes are the rate of change

[tex]slope =\frac{3}{4}\\ slope =\frac{3}{2}\\slope =\frac{1}{2}\\ slope =\frac{5}{2}\\\\\frac{1}{2} < \frac{3}{4} < \frac{3}{2} < \frac{5}{2}\\[/tex]

The function from least to greatest rate of change is

[tex]y=\frac{1}{2}x-2\\y=\frac{3}{4}x-10 \\y=\frac{3}{2}x+\frac{11}{2}\\y=\frac{5}{2}x+10\\[/tex]

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which equation describes the line with a slope of 5 and y-intercept of -3

answers :

y= -3x + 5

y= 3x - 5

y= 5x - 3

y= 5x + 3

Answers

i think the answer is y=5x-3
Final answer:

The equation representing the line with the slope of 5 and y-intercept of -3 is y=5x-3. This answer is derived from substituting these values into the standard line equation y=mx+b.

Explanation:

The equation of a line is generally given by the formula y=mx+b, where m is the slope of the line and b is the y-intercept of the line.

If the slope is 5 and the y-intercept is -3, and we plug these values into the standard formula, we get y=5x-3. Hence, the equation that describes the line with a slope of 5 and y-intercept of -3 is y=5x-3.

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Solve for z-
-0.25z = -1.25

z = ___

Answers

Answer:

5

Step-by-step explanation:

The value of z in the equation -0.25z = -1.25 is simplified to z = 5.

To solve for z in the equation -0.25z = -1.25, we need to isolate z by performing the necessary operations.

We can start by dividing both sides of the equation by -0.25 to cancel out the coefficient of z:

-0.25z / -0.25 = -1.25 / -0.25

This simplifies to:

z = 5

Therefore, the value of z in the equation -0.25z = -1.25 is z = 5.

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what is the slope of the line that passed through (3,-4) and (4,9)

Answers

Step-by-step explanation:

Step 1:  Find the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{9-(-4)}{4-3}[/tex]

[tex]m =\frac{9+4}{1}[/tex]

[tex]m=13[/tex]

Answer: The slope is 13

Given the following exponential function, what is the initial amount y 60(1.71)^x?

Answers

Answer:

60

Step-by-step explanation:

The initial y value can be found by setting x to 0. Anything to the power of 0 is 1, so 1.71^x when x is 0 is just 1. 60*1=60, which is the initial y value. Hope this helps!

The initial amount 'y' of the exponential function [tex]y = 60(1.71)^x[/tex] is 60. This value represents the function's y-intercept, the amount present before any exponential growth occurs.

The student has provided an exponential function and wishes to know the initial amount, which can be expressed as 'y' in the function [tex]y = 60(1.71)^x[/tex]. The initial amount when x=0 is the coefficient of the exponential term. For this function, when x equals 0,[tex](1.71)^0[/tex] is 1, since any number raised to the power of 0 is 1. Therefore, the initial amount or the y-intercept of this function is 60.

This value represents the starting quantity before any growth (or decay if the base were less than 1) has occurred in the context of the function. It is important to note that the base of the exponential function (1.71 in this case) indicates the rate of growth per unit increase of the variable x

what is the diameter and radius of a circle with a circumference of 78?

Answers

Answer:

D:24.83

Step-by-step explanation:

Answer: d = 24.83 r = 12.41

Which statement is true about Angle C P B?

Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.

Sorry, I don't know how to add pictures yet...

Answers

Answer:

It is congruent to Angle A P C

Step-by-step explanation:

Vertical angles are the angles opposite each other when two lines cross. They are always congruent.

In this problem we have that

-----> by vertical angles

see the attached figure to better understand the problem

therefore

It is congruent to Angle A P C

The True statement about <CPB is It is supplementary to angle APC.

The correct option is (B).

What is Supplementary Angle?

In mathematics, the definition of supplementary relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another

It has an acute angle on one side and an obtuse angle on the other.The two angles are both right angles.The two angles do not have to be adjacent to form a straight line.

As, when two angles that when added together equal 180 degrees is Supplementary Angle.

From the figure if we add <CPB and <APC forms the straight line gives the angle 180 degree.

i.e., <CPB + <APC = 180

or, <CPC= 180- <APC

So, <CPB is supplementary to angle APC.

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What is the area of a circle with a radius of 7 cm? (Use 3.14 for , and round to the nearest tenth.)
38.5 cm?
44.0 cm?
150.0 cm
153.9 cm?

Answers

so the right answer is 153.9 cm ^2

Look at the attached picture

Hope it will help u....

Answer:

so the right answer is 153.9 cm ^2

Look at the attached picture ⤴

Hope it will help u....

Step-by-step explanation:

A line is drawn on a scatter plot as shown below.

which statement best describes the line?

A. it cannot be the line of best fit because does not show a positive linear relationship


B. it cannot be the line of best fit because it does not pass through all the data points

C. it can be the line of best fit because it passes through all the data points

D. it can be the line of best fit because it closely fits the data points

Answers

Answer:

D. It closely fits the data points.

Step-by-step explanation:

This is a negative linear relationship.

It's not possible to draw a straight line through all the points but D is pretty close to the points on the plot.

A cube has a side length of 10 meters. What is the volume of the cube?
10 m3
10,000 m3
1000 m3
100 m3

Answers

Answer:

10,000 i think

Step-by-step explanation:

Volume of cube is side^3
10^3= 1,000 m^3 option C

Can anyone plzzzz helpn
Thank you

Answers

Answer:

200 square feet

Step-by-step explanation:

The formula for the lateral surface area of a square pyramid is [tex]a\sqrt{a^2+4h^2}[/tex], where a is the side length and h is the height of the pyramid. The first step is therefore to find the height of the pyramid. Using the pythagorean theorem, you can find that it is [tex]\sqrt{10^2-5^2}=5\sqrt{3}[/tex]. Plugging in our known values into the equation, you get [tex]10\sqrt{10^2+4(5\sqrt{3})^2}=10\sqrt{100+300}=10\cdot 20=200[/tex]. Hope this helps!

Liam says - (5/12) is equivalent to 5/-12. Explain if Liam is correct by completing the statements below.

Answers

A positive number divided by a positive number results in a negative quotient, and it's opposite is always positive. The fraction 5/-12 can be described as a positive number divided by a negative number, which always results in a negative quotient. The fractions have different value, so Liam is not correct.

Answer:

Answers in Order On I-Ready: Positive/Negative/Positive/Different/Not Correct

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A major source of chicken feed in the United States is anchovies, small fish that can be scooped out of the ocean at low cost. Every 7 years, when the anchovies disappear to spawn, producers must turn to grain, which is more expensive, to feed their chickens. What is likely to happen to the cost of chicken when the anchovies disappear? A. The cost of chicken will increase. B. The cost of chicken will not change. C. The cost of chicken will fall. D. The cost of chicken is unrelated to the cost of anchovies. What is a substitute for chicken? A. Chicken feed B. Fish C. Turkey D. Both B and C. How are the markets for these substitutes affected when the anchovies disappear? Based on the information of the graph , which regions population will change the least in the next 40 years? A -Oceania B -africa C-United states D-Europe 3/7 de los estudiantes en una escuela estn en sexto grado. 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