If a(x) = 3x + 1 and p(x)= x-4, what is the domain of (b•a)(x)?

Answers

Answer 1

Answer:

  all real numbers

Step-by-step explanation:

Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. All polynomials are defined for all real numbers. The domain is the set of input values (x) for which the function is defined.

The domain of (b•a)(x) is all real numbers.


Related Questions

اذا كانت س زاويه حاده و كان جاس= ٣/٥ فان ظا س=؟؟​

Answers

Alright idk y u said that here but ok

what is the result of 3×3/5×(-8×1/3)

Answers

Answer:

-4.8

Step-by-step explanation:

Answer:

−24/5

Step-by-step explanation:

3x3/5x(-8x1/3)

Use the order of operations method, PEMDAS, in order to solve this expression.

Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?

Answers

Answer:

28.125 cans

Step-by-step explanation:

Step 1: Determine the Volume of the Pot

Diameter= 15 inches, therefore Radius=15/2=7.5 Inches

Height =10 Inch

Volume of a cylinder =[tex]\pi r^2h[/tex]

Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.

Step 2: Determine the Volume of each can

Diameter= 4 inch, therefore Radius=4/2=2 Inches

Height =5 In.

Volume of a cylinder =[tex]\pi r^2h[/tex]

Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.

Step 3: Divide the Volume of the Pot by the Volume of the can

To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.

Volume of the Pot÷Volume of one can

[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]

Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.

Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?

Answers

Answer:

$172.50

Step-by-step explanation:

1150 * 0.15 = 172.5

Answer:

the answer is 172.50

Step-by-step explanation:

So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer

Step-by-step explanation

1150 * 0.15 = 172.5

If it was helpful can u mark me brainliest pls!!!!!!!!!!!

U
14 poi
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team? *

Answers

Answer:

36960 people

Step-by-step explanation:

Answer:

36,960 people

Step-by-step explanation:

[tex]\frac{is}{of}=\frac{percent}{100}[/tex] is the formula to solve for this equation, here plugging in all our numbers gives us [tex]\frac{x}{480,000} = \frac{77}{100}[/tex].

We do not know our "is" so we replace it for x and solve → [tex]x=(480,000)(\frac{77}{100} )[/tex] = 36,960 people

word problem of addition or subtraction

Answers

Answer:

subtraction

Step-by-step explanation:

In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.

Answer:19

Step-by-step explanation:subtract 27 from 8.

Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $160. Write a linear equations to represent the total in the checking account f(x) according to the day x.

Answers

Answer:

180 - 172 =$8 8/3=2.56

Factor the expression. d2 + 12d+ 36

Answers

Answer:

the factored expression is

(d+6)(d+6) or (d+6)^2

Step-by-step explanation:

Find the ratio a:b, if it is given that ...
7a=3b

Answers

Answer:

a:b

3:7

Step-by-step explanation:

a:b  also means a/b

Taking the equation

7a = 3b

Dividing each side by b

7a/b = 3b/b

7 a/b = 3

Divide each side by 7

a/b = 3/7

The ratio is 3/7

a:b

3:7

Answer:

a:b = 3/7

Step-by-step explanation:

we need to find the ratio a:b which is the same as a/b.

7a=3b

Devide left and right of the = sign by b gives

7a/b = 3 * b/b

7a/b = 3 * 1

7a/b = 3

Multiply left and right of the = sign by 1/7 gives

1/7 * 7a/b = 1/7 * 3

7/7 * a/b = 3/7

1 * a/b = 3/7

a/b = 3/7

Since a/b is the same as a:b, we now have the answer.

a:b = 3/7

. The pet store salesman told Evan to feed his dog 8 ounces of food per day. The food is sold in pounds. How many pounds does Evan need to buy for 2 weeks of feeding his dog? (16 ounces = 1 pound)?

Answers

It’s 7 pounds. 8 ounces per day then multiply that by 7 days which is 56 ounces then multiply 56 by 2 which makes 112, then multiply 112 by 16 which stands for ounces and you get 7.

In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)

Answers

Answer: 42.190

Step-by-step explanation:

From the question, the population variances are not equal. The calculation has been attached in the picture below.

The answer is 42.190 to 3 decimal places.

five more than the quotient of y and 2 is -3

Answers

Answer:

y/2 + 5 = -3

y/2 = -8

y = -16

Step-by-step explanation:

Math Help!!! Can someone solve this?? I will give you Brainliest!!!!!!

Answers

Answer:first one is false, second is true and third is true

Step-by-step explanation:

Simon knows that 25% of the people at a movie theater are seeing a romantic comedy. How many people are at the movie theater if 55 people are seeing a romantic comedy?

Answers

Answer:

220

Step-by-step explanation:

Number of people in theater = x

25% * x = 55

x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220

I keep gettin it wrong please help!!!

Answers

Answer:

-5≤ x ≤5 or [-5,5]

Step-by-step explanation:

domain is related to independent variable x

black dots means that number is included in the domain

in this case function is from -5,5 included or -5≤ x ≤5 or [-5,5]

Pls help with this one I will give brainliest thank you!

Answers

Answer:

B. 10 in.

Step-by-step explanation:

When you do length times width times height 10*10*10 equals 1000

10*10=100 and 100*10=1000

Answer:10 feet

Step-by-step explanation:

edge=[tex]\sqrt[3]{1000}[/tex]= 10 so the answer is B

Which equation describes a line of symmetry for a square ABCD?

Answers

Answer:

y=x

Step-by-step explanation:

The equation of the line is line DB

From y=mx + c

From the graph y = 0 when x =0

This means y=x;

The graph cuts through the origin.

Meaning the y -intercept C=0

Northlake high scores to lunch. Soon can eat their lunch in the cafeteria or on an outside patio about 35% of students who have first lunch eat outside compare this with a percenta

Answers

Answer:

The proportion of second lunch students who eat outside is more than that for the first lunch students.

Step-by-step explanation:

The complete question is:

Points Northlake High School has two lunch periods. Students can eat their lunch in the cafeteria or on an outside patio. About 35% of students who have first lunch eat outside. Compare this with the percentage of second-lunch students who eat outside.

                            Eat Outside         Eat Inside          Total

First Lunch                 0.19                    0.35               0.54

Second Lunch           0.22                   0.24               0.46

Total                           0.41                    0.59               1.00

Solution:

The conditional probability of an event B given that another event A has already occurred is:

[tex]P(B|A)=\frac{P(A\cap B)}{P(A)}[/tex]

The probability of students who have second lunch (S) and eat outside (O) is:

P (S ∩ O) = 0.22

The probability of students who have second lunch (S) is:

P (S) = 0.41

Compute the proportion of student who eats outside given they have second lunch as follows:

[tex]P(O|S)=\frac{P(S\cap O)}{P(S)}[/tex]

            [tex]=\frac{0.22}{0.41}\\\\=0.536583\\\\\approx 0.54[/tex]

The proportion of second lunch students who eat outside is more than that for the first lunch students.

What is the length of AC?

Answers

Answer:

2.96

Step-by-step explanation:

The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse. In this case:

[tex]\cos 65=\dfrac{x}{7}[/tex]

[tex]x=7\cdot \cos 65\approx 2.96[/tex]

Hope this helps!

Ten cards numbered from 1 to 10 inclusive are placed in a hat Irene takes a card out of the hat without looking what is the probability that she takes out:
A] the number 10
B] an odd number
C] a number greater than 4
D] a prime number
E] a number between 5 and 9?

Answers

A] 1/10
B] 5/10
C] 6/10
D] 4/10
E] 3/10

Not sure on how to do these questions

Answers

Answer:f(8)=g(8)

Step-by-step explanation:

So in these problems f(8) means that you look at the f(x) function (function 1) and plug in 8 for x.  Then since it says g(8), you look at the g(x) function and substitute x for 8.  If we do that, f(x)=2(8)-3 which is 13.  g(x)=3/2x+1=13.  The two of them are equal when x=8.  So the answer is the third choice

Answer:

f(8)=g(8)

Step-by-step explanation:

Just put the values of given functions in the equation

True or False: The height is always twice the length of tue base edge of any triangular pyramid.

Answers

Answer:

true

Step-by-step explanation:

3n3n3p0mdo98rueu33

Audrey collected 4⁄5 pint of blueberries. Addison collected 12 times as many pints of blueberries as Audrey. How many pints of blueberries did Addison collect?

Answers

Answer:

48/5≈ 9 3/5

Step-by-step explanation:

12 is the same thing as 12/1

so your multiply fractions

4/5 times 12/1

numerator=top

denominator=bottom

so to multiply a fraction you multiply the numerator times the numerator

so in that case your multiplying 4 times 12

=48

to find the bottom half you multiply the denominator times the denominator

in that case is 5 times 1

=5

numerator/denominator

48/5

if you want to simplify it further simply divide 48/5

5 goes into 48 about 9 times

and were left with 3/5

so 9 and 3/5

pls mark me brainliest

given h(x)=-2x+5, find h(-6)

Answers

This question is easy! it's simply asking to plug in -6 instead of the variable x.

h(-6)=-2(-6)+5

       =12+5

       =17

17 is your final answer.

A 95​% confidence interval of 17.6 months to 49.2 months has been found for the mean duration of​ imprisonment, mu​, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of​ error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 11 months and a 99​% confidence level.​ (Use sigmaequals45 ​months.) d. Find a 99​% confidence interval for the mean duration of​ imprisonment, mu​, if a sample of the size determined in part​ (c) has a mean of 36.5 months.

Answers

Answer:

a) [tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]

b) For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.

c) [tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]

So the answer for this case would be n=112

d) [tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]    

[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]

Step-by-step explanation:

Part a

For this case we know that the cinfidence interval for the true mean is given by:

[tex] \bar X \pm E[/tex]

Where E represent the margin of error. For this case we have the confidence interval at 95% of confidence and we can estimate the margin of error like this:

[tex] E = \frac{49.2-17.6}{2}= 15.8[/tex]

Part b

For this case we have 95% of confidence that the true mean would be between [tex]\pm 15.8[/tex] units respect the true mean.

Part c

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]    (a)

And on this case we have that ME =11 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

[tex]n=(\frac{z_{\alpha/2} \sigma}{ME})^2[/tex]   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The critical value would be [tex]z_{\alpha/2}=2.58[/tex], replacing into formula (b) we got:

[tex]n=(\frac{2.58(45)}{11})^2 =111.39 \approx 112[/tex]

So the answer for this case would be n=112

Part d

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]   (1)

Replcaing the info given we got:

[tex]36.5-2.58\frac{45}{\sqrt{112}}=25.53[/tex]    

[tex]36.5+2.58\frac{45}{\sqrt{112}}=47.47[/tex]

An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with _______ exactly one at least one all of the ______ 0's 1's replaced with some number k. This means it is _______ an invertible matrix, a zero matrix, a singular matrix, a triangular matrix, an identity matrix, and so its determinant is the _______ sum product of its diagonal entries.​ Thus, the determinant of an elementary scaling matrix with k on the diagonal is nothing.

Answers

Answer:

exactly one, 0's, triangular matrix, product and 1.

Step-by-step explanation:

So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.

"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries.​ Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).

Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.

Compute the probability of randomly selecting an eight or jack

Answers

Answer:

2/13

Step-by-step explanation:

In a regular deck of cards, there are a total of 52 cards. Of these, there are 4 8's and 4 jacks, making a total of 8 "desirable" outcomes. Therefore, the probability is 8/52=2/13. Hope this helps!

The driving time varies inversely with the speed of the car if a certain trip takes 40 minutes when you travel 50 miles per hour how many minutes would it take if you travel 40 miles per hour

Answers

Answer:

It will take 50 minutes take if you travel 40 miles per hour

Step-by-step explanation:

The driving time varies inversely with the speed of the car i.e.

[tex]t\propto \dfrac{1}{v}[/tex]

or

[tex]\dfrac{t_1}{t_2}=\dfrac{v_2}{v_1}[/tex]

We have,

[tex]t_1=40\ min\\\\v_1=50\ mph\\\\v_2=40\ mph\\\\t_2=?[/tex]

Plugging all the values, we get :

[tex]t_2=\dfrac{t_1v_1}{v_2}\\\\t_2=\dfrac{40\times 50}{40}\\\\t_2=50\ min[/tex]

So, it will take 50 minutes take if you travel 40 miles per hour.

The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Calculation of the number of minutes:

Since if a certain trip takes 40 minutes when you travel 50 miles per hour

So, the time for 40 miles per hour should be

[tex]= 40\times 50\div 40[/tex]

= 50 minutes

Therefore, The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Learn more about time here: https://brainly.com/question/24723699

:
What is 475.189 rounded to the nearest hundredth?

Answers

Answer:

It is:475.19.

HOPE THIS HELPED

Answer:

475.19.

Step-by-step explanation:

The hundredths place is two places to the right of the decimal, or (0.01).

In the number given, the number to the right of the hundredths place is larger than 5, meaning we will round up giving us:

475.189 --> 475.19.

Write the slope-intercept form of the equation of the line through (-1,4) and parallel to x=5

Answers

Answer:

x = -1

Step-by-step explanation:

When lines are parallel, they have the same slope

x = 5 means the line is a vertical line going through x=5

The new line is a vertical line

We have a point (-1,4)

It will need to go through the x point of -1 and be a vertical line ( which is in the form x=  )

x=-1

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