Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain

Answers

Answer 1
f(4-x)=12
Domain:(-oo,oo) these are infinity symbols by the way.

Related Questions

Which graph represents the function

Answers

Answer:

The Fourth One.

The one with 3 lines, 1 intersecting the origin, one in quadrant 1, one in quadrant 3

hope it helps!

If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?

Answers

Answer:

18.00$

Step-by-step explanation:

Answer:

$18.00

Step-by-step explanation:

Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00.  You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings.  Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.

SU: ST is 4:1

picture below​

Answers

Step-by-step explanation:

Length of SU to ST = 4 : 1.

=> (3m + 6) : m = 4 : 1

=> 3m + 6 = 4m

=> m = 6.

THIS IS 90 POINTS:
what is 15m+35 graphed?

Answers

Well, you can’t add them because 15 has a m and 35 doesn’t have a variable sooo? What are the answer choices?

Answer:

Factor

5

out of

15

m

+

35

.

5

(

3

m

+

7

)

Step-by-step explanation:

A rectangle measures 7.08 cm by 3.2 cm.
Work out the area of the rectangle.​

Answers

Answer:

22.67 cm^2

Step-by-step explanation:

The computation of the area of the rectangle is shown below:

As we know that

Area of the rectangle = Length × breadth

Here we assume the length be 7.08 cm

Or breadth be 3.2 cm

Or if we assume them inverse like length be 7.08 cm and breadth be 3.2 cm

SO the area of the rectangle is

= 7.08 cm × 3.2 cm

= 22.67 cm^2

In the both cases the answer would be the same

[tex]\frac{1}{2} x \frac{3}{4}[/tex]

Answers

I am pretty sure it is0.375

ramona has $21 that she can spend on food for her dog. dry dog food costs 7.50 per small bag

Answers

Answer:

Ramona can buy 2 bags.

Step-by-step explanation:

7.5 x 3 = 22.5. This is over her budget.

Therefore Ramona can buy 2 bags.

You didn't specify what the question was asking for, I'm guessing that this is it.

What is the slope of the line below?
(4,5)
(-2,2)

Answers

Answer:

1/2 or one half

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

To find the slope of a line, divide yB - yA by xB - xA.

(yB - yA)/(xB - xA)

(2 - 5)/ (-2 - 4)

-3/-6

Dividing two negatives make a positive.

0.5

The slope is 0.5, or 1/2.

fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?

Answers

Answer:

2,500 grams

Step-by-step explanation:

2.5 kilograms = 2,500

Therefore, the laptop is 2,500 kilograms.

hope i helped

A ball is dropped from a height of 9 meters. On each bounce, it rises to 35% of its previous height.

When it hits the ground for the sixth time, how far has it traveled?


Round your answer to the nearest hundredth.

Answers

I believe it’s .006 because 9 times .35 6 times is .00579054

A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?​

Answers

She will need 8 scoops

so I have to take my keystone's soon even tho I have only half of the required material learned cuz of corona and I have to pass them to graduate so does anyone know a good app where I can study those topics​

Answers

I think I remember one of my teachers said kuta software has free worksheets with answers. Or jus ask me I can help lol

Please help me with this Its kind of frustrating

Answers

Answer:

you have too see what makes 36, 42 ,48 and 27

Step-by-step explanation:

Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!

Answers

Answer:

[tex]y=-314x-1261[/tex]

Step-by-step explanation:

When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.

[tex]y=mx+b\\-5=-314(-4)+b[/tex]

Now we solve

[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]

So now that we know everything we need we plug in and....

[tex]y=mx+b\\y=-314x-1261[/tex]

we've got our equation!

Answer:

The line slants upward, so the slope is positive.

The radius of a circle is 4 kilometers. What is the circle's area?
r=4 km
Use 3.14 for .
square kildmeters
Submit

Answers

Answer:

50.27km

Step-by-step explanation:

divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Is this a function? Explain with full sentence!
[(3,2) (4,2) (5,2) (3,2)]

Answers

Answer:

yes

Step-by-step explanation:

so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet

What is the unit rate of store A?

•$0.75 / notebook

•$0.50 / notebook

•$0.80 / notebook

•None of the above

What is the unit rate of store B ?

•$0.60 / notebook

•$0.30 / notebook

•$0.55 / notebook

•None of the above

Which store has the better deal per notebook? *

•Store A

•Store B

•The unit rate is the same at both stores

Answers

STORE B BECAUSE LOW RATES IS BETTER THAN HIGH

A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?

Answers

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house

In 1839, Georgia produced 326,000 bales of cotton . By 1860, the state produced 700,000 bales. What was the approximate percent of increase in the bales produced during that 21-year period?

Answer Choices .

46 percent
147 percent
4.7 percent
115 percent

Answers

The answer is 46 percent

A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -3.2t^2 + 54.4t + 268.8. When will the ball strike the ground?

Answers

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

Find the value of the missing angles.

Answers

Answer:

t=62

w=37

v=118

Step-by-step explanation:

-7(2-3x) help solve please

Answers

Answer:

-14+21x

Step-by-step explanation:

Distrubute

-7 times 2= -14

-7 times 3x= -21x

Answer:

The answer is -14 + 21x

Step-by-step explanation:

Distribute -7 to 2 and -3x

-7 × 2 = -14

-7 × - 3x = 21x

= -14 + 21x

Jeremy can tow 1/3 of a mile in 1/4 of an hour. What is the unit rate?

Answers

Answer:

1 1/3 - miles per hour.

Step-by-step explanation:

(1/3) / (1/4) =

(1/3) x (4/1) =

4/3 = 1 1/3

Find the scale factor of PQRS to JKLM and the values of w, x, and y.

Answers

D cause Times x by y and your answer should be

The scale factor of PQRS to JKLM is 4/5 and the values of w, x and y are 20, 12.5 and 20 respectively.

What is Scale Drawing?

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given two quadrilaterals PQRS and JKLM.

Since the shape is similar, the angles are equal and thus are similar figures.

The corresponding sides of two similar figures are proportional.

Scale factor of PQRS to JKLM = QR / KL = 12 / 15 = 4/5

Using the proportional rule for similar figures,

KL / QR = LM /RS  = MJ / SP = JK / PQ

15 / 12 = x / 10 = y / 16 = 25 / w

Scale factor = 15/12 = 5/4

Consider 15 / 12 = x / 10.

12x = 150

x = 12.5

Consider 15 / 12 = y / 16

12y = 15 × 16

y = 20

Consider 15 / 12 = 25 / w

15w = 12 × 25

w = 20

Hence the option d is the correct answer.

Learn more about Scale Factor here :

https://brainly.com/question/3819163

#SPJ3

Suppose that populations of men and women have the following summary statistics for their heights (in
centimeters):
Mean
Standard deviation
Men
HM = 172
M = 7.2
Women
Uw = 162
ow = 5.4
Both distributions are approximately normal. Suppose we randomly select a man and a woman from each
population, and calculate the difference between their heights. We can assume that their heights are
independent
Find the probability that the woman is taller than the man
You may round your answer to two decimal places
IN
P woman taller

Answers

Answer:

.13

Step-by-step explanation:

172-162 = 10  

 

We can find the standard deviation of D by adding the variances of the heights and taking the square root:

σ  

D

2

​  

 

σ  

D

2

​  

 

σ  

D

​  

 

​  

 

=σ  

M

2

​  

+σ  

W

2

​  

 

=7.2  

2

+5.4  

2

 

square root of 81

=9

​  

Representing probability with area

When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:

A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.

normalcdf:

lower bound: −9999

upper bound: 0

μ=10

σ=9

​  

Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two measures are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the variances.

In this problem:

Men have mean weight of 172 cm, women of 162 cm, hence, for the distribution of the differences, the mean is [tex]\mu = 162 - 172 = -10[/tex].The standard deviation is the square root of the sum of the variances, hence [tex]\sigma = \sqrt{7.2^2 + 5.4^2} = 9[/tex]

The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-10)}{9}[/tex]

[tex]Z = 1.11[/tex]

[tex]Z = 1.11[/tex] has a p-value of 0.8665.

1 - 0.8665 = 0.1335

0.1335 = 13.35% probability that the woman is taller than the man.

A similar problem is given at https://brainly.com/question/22934264

PLEASE HELP

The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?

Answers

Answer:

A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]

Step-by-step explanation:

From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:

[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)

Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:

[tex]x+2 = C\cdot (y-1)^{2}[/tex]

[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]

The correct answer is A.

Answer:

A

Step-by-step explanation:

Hopefully this helps

Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

Answers

Answer:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Can some one plz help i will give BRAINLIEST.

If there is a 10% chance of a certain flower species having blue petals, then is it possible to observe only 85 flowers with blue petals in a field of 1000 flowers? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

10% chance does not mean it is always 10 percent. 10 percent is the theoretical property. The experimental probability can be different than the theoretical property.

The table below shows the relationship between the number of gallons of fremaining in a truck and the number of hours the truck has been driven.
Driving a Truck
Time Driven (h) 0 2.5 5 7.5 10
Fuel (gal)
175
125 100
200
150
Which of the following best represents the rate of change for the number of gallons of fuel remaining with respect to the number of hours the truck has been driven?
-200 gal/h
-10 gal/h
0-1 gal/h
O-to galh

Answers

Answer:

-10 gal/h

Step-by-step explanation:

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

Learn more,

https://brainly.com/question/2530409

Find the slope of the line.

Answers

Answer:

79

Step-by-step explanation:

it is 556

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