What is (f⋅g)(x) ?



f(x)=x2−2x

g(x)=4x+1


Enter your answer in the box.

(f⋅g)(x)=

Answers

Answer 1

Answer:

[tex](f-g)(x) =x^2 -6x -1[/tex]

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

[tex]f(x) - g(x) = (x^2 - 2x) - (4x + 1)[/tex]

                [tex]= x^2 -2x -4x -1\\=x^2 -6x -1[/tex]


Related Questions

Sorry the pic is fuzzy but can you help?

Answers

Step-by-step explanation:

may it be

9.6

may it help u

What’s the ara of each figure?

Answers

Answer:

433 in.²

Step-by-step explanation:

Divide the figure into 2 rectangles

Area of the figure = area of the bigger rectangle + area of smaller rectangle

✔️Area of bigger rectangle = L*W

L = 29 in.

W = 13 in.

Area of the bigger rectangle = 29*13

= 377 in.²

✔️Area of the smaller rectangle = L*W

L = 7 in.

W = 8 in.

Area of the bigger rectangle = 7*8

= 56 in.²

✅Area of the figure = 377 + 56 = 433 in.²

For the point P(2,-14) and Q(9,-9) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ

Answers

Answer:

Step-by-step explanation:

Distance : [tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}[/tex]

Midpoint :

x (m) = (2+9)/2 = 11/2

y (m) = (-14-9)/2 = -23/2

M (11/2, -23/2)

What is the volume of the cone in the diagram?

Answers

Answer:

471.24

Step-by-step explanation:

V=πr2h/3

radius = 5 and length = 18

answer = 471.24

please mark me brainliest!!

Answer:

The answer Plato wants is 150Pi,

Step-by-step explanation:

Amy has a bag with 2 pink marbles and 3 purple marbles. She picks two marbles. How much greater is the probability of Amy picking two consecutive pink marbles if she replaces her first marble as opposed to her leaving the first marble she picks out of the bag?

Answers

Answer:

2/5 is the answer bc there are 5 total marbles and you have more purple marbles then pink ones so the answer is 2/5 or 40%

Based on a study, a theme park has reported that typical patrons were willing to pay
$64 for admission to the park. In the study, the theme park conducted a survey to
determine how much patrons were willing to pay for admission to the park. The park
asked 10 groups of 100 randomly selected patrons to choose a price from a list of
options. The price chosen most frequently by each group is shown in the table.

Answers

Answer:

A and D

Step-by-step explanation:

(2+5i)+(-3-4i) what is the answer to this question?

Answers

Answer:

-1+i

Step-by-step explanation:

(2+5i)+(-3-4i)

=(2-3)+i(5-4)

=-1+i

Answer:

[tex]−1+i[/tex]

Step-by-step explanation:

[tex](2+5i)+(−3−4i)[/tex]

[tex]2+5i−3−4i[/tex]

[tex]−1+5i−4i[/tex]

[tex]−1+i[/tex]

Hope it is helpful.....

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

The inverse is (-12,5).
inverse is -12 , 5 i think

state what additional information is required in order to know that the triangles are congruent for the reason given. NO LINKS!!!!​

Answers

Answer:

  29)  RD≅RS

  30)  KL≅YZ

Step-by-step explanation:

29) SSS means three sides must be congruent. Already sides TD and TS are marked congruent, and we know side TR is congruent to itself by the reflexive property. The third sides, RD and RS must be congruent if you're to use SSS.

__

30) HL means "hypotenuse, leg". The legs KJ and YX are already shown as congruent, so the hypotenuses KL and YZ must be congruent if you're to use HL.

pls help I need a good grade

Answers

Answer:

D

Step-by-step explanation:

because in standard form the first number can not be greater than 10 above 10 it should be in points. e.g. D must be 6.12×10^5

Question in in picture, please help

Answers

Step-by-step explanation:

256 mm3

cause volume of rectangular prism is l*b*h

D.256
Because 10x8x3.2= 256

i need help! plz (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

8 hours

Step-by-step explanation:

simple, divide 536 miles by 804 miles and multiply the fraction with 12 hours

fraction = 0.6666666 or 536/804 OR two thirds or 2/3

multiply 2/3 by 12 hours

it would take approximately 8 hours to arrive at 536 miles

The weight of a product is normally distributed with a mean of 4 ounces and a variance of .25 squared ounces. What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces

Answers

Answer: 0.0228

Step-by-step explanation:

Let x be the weight of a product.

The probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces:

[tex]P(X>5)\\\\=P(\dfrac{X-Mean}{\sqrt{Variance}}>\dfrac{5-4}{\sqrt{0.25}})\\\\=P(Z>\dfrac{1}{0.5}) \ \ \ [z=\dfrac{X-Mean}{\sqrt{Variance}}]\\\\=P(z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ [\text{Using p value table}]\\\\=0.0228[/tex]

Hence, the required probability = 0.0228

Mr. Suh puts $1,500.00 into savings bonds that pay a simple interest rate of 2.5%. How much money will the bonds be worth at the end of 10 years?

Answers

Answer:

i have no idea

Step-by-step explanation:

9)
10
22x - 2
8x + 2
A) 5
C) 8
B) 6
D) 2
I

Answers

Answer:

x+6

Step-by-step explanation:

180 divided by 30=6

Divide 180 by 30
Which u get 6
30*6=180

The answer is B

What is the value of x?

Answers

Answer:

B.35 is the value of x in the figure

what is the measure and type of zy​

Answers

9514 1404 393

Answer:

  angle zoy is 70°, an acute angle

Step-by-step explanation:

Each of the 18 spaces around the 180° semicircle identifies 10° of arc. There are 7 spaces between rays z and y, so the angle zoy is 70°. It is less than 90°, so it is an acute angle.

The height of the tank is 11 m and the radius of the tank is 5 m. the height of the water is 6 m and the radius of the water is 3 m. how much more water in cubic meters could you fit in the tank?

Answers

Answer:

221 cubic metre.

Step-by-step explanation:

Volume of water in tank (v) = π × {3}^{2} × 6

= 54π cubic metre

Volume of tank (v') = π × {5}^{2} × 11

= 275π cubic metre

More Water that can be fit in the tank = v' - v

=275π - 54π

= 221π cubic metre.

ANS.

The following functions give the populations of four towns with time tt in years.
(i) P=600(1.12)^t
(ii) P=1,000(1.03)^t
(iii) P=200(1.08)^t
(iv) P=900(0.90)^t
Which town has the largest percent growth rate? What is the percent growth rate?

Answers

Solution :

Transforming given equations :

[tex]1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t[/tex]

From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .

Hence, this is the required solution.

Answer: (i), 12%

Step-by-step explanation:

Given

The Population of four towns is given

(i) [tex]P=600(1.12)^t[/tex] i.e.

[tex]\Rightarrow P=600(1+0.12)^t\\\Rightarrow P=600(1+12\%)^t[/tex]

rate=12%

(ii) [tex]P=1000(1.03)^t[/tex]

[tex]\Rightarrow P=1000(1+0.03)^t\\\Rightarrow P=1000(1+3\%)^t[/tex]

rate=3%

(iii) [tex]P=200(1.08)^t[/tex]

[tex]\Rightarrow P=300(1+0.08)^t\\\Rightarrow P=300(1+8\%)^t[/tex]

rate=8%

(iv) [tex]P=900(0.90)^t[/tex]

[tex]\Rightarrow P=900(1-0.10)^t\\\Rightarrow P=900(1-10\%)^t[/tex]

rate=10% fall

So, the largest growth rate is for town (i)  i.e. 12%

Question 21
Find the volume.

Answers

Answer:

C

4712 cm³ exactly

Step-by-step explanation:

10² * pi is the area of the circle

then just multiply with the height

Answer:

C. 1500π ≈ 4710 cm³

Step-by-step explanation:

Volume = πr²h

Volume = π * 100 * 15

Volume = 1500π ≈ 4710 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. Give your answers to at least 3 decimal places accuracy. Keep the data in Excel and keep the answers below handy, as you will need this information again in later questions. 2. Compute the following summary statistics a) The mean for the low income group is: b) The median for the low income group is: c) The standard deviation for the low income group is: d) The mean for the high income group is: e) The median for the high income group is: f) The standard deviation for the high income group is:

Answers

Answer:

Low income group :

Mean = 22.100

Median = 22.000

Standard deviation = 4.717

High Income group :

Mean = 19.771

Median = 20.000

Standard deviation = 3.255

Step-by-step explanation:

Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22

High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20

Using Excel :

Mean of low income, Σx / n = 884/40 = 22.100

Median of low income group : 1/2(n+1)th term = Median of low income = 22.000

Standard deviation of low income group :

√(Σ(x - mean)²/n) = 4.717

High Income group :

Mean of high income, Σx / n = 692/35 = 19.771

Median of high income group : 1/2(n+1)th term = Median of high income = 20.000

Standard deviation of low income group :

√(Σ(x - mean)²/n) = 3.255

Nancy ate 34 ounces of cake. How much cake did she eat?

A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.

Nancy ate 34 ounces of cake. How much cake did she eat?

A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.

Answers

Answer:

the answer would be B: 2.125lb.

Answer: B; 2.125lb

Step-by-step explanation: 34 ounces to pounds is 2.13lb (rounded, the exact number is 2.125lb

i hat is the slope 6/-10 and 3/-13

Answers

Answer:

1

Step-by-step explanation:

Assuming your mean we have the points

(6, -10) and ( 3, -13)

We can use the slope formula

m = (y2-y1)/(x2-x1)

m = ( -13 - -10)/( 3 - 6)

    = (-13+10)/( 3-6)

   = -3 / -3

    = 1

A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold
for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the
difference in price per cubic inch?

Answers

Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

how many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 50 L of a 50% alcohol solution​

Answers

Step-by-step explanation:

Question 264138: How many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 20 liters of a 50% solution? x=8 gallons of 65% solution is used. 20-8=12 gallons of 40% solution is used.

please mark as brainliest

If a normal distribution has a mean of 104 and a standard deviation of 6, what is the z-score for a value of 110?

A. 1.5
B. 2
C. 1
D. 0.5

Answers

Answer: 1.5

mean: 104

S.D: 6

110-104/6=1.5

Area and circumference of this circle

Answers

Answer:

Step-by-step explanation:

Given: The radius is 6 cm

To find the area + circumference we need to use 2 formulas:

Area: pi* radius^2

Circumference: 2*pi*r

First we can do the area

I will use "pi" for pi instead of 3.14

pi * 6^2

= 36 pi

The area is 36 pi

Next, circumference

2 * pi *r

2*pi*6

= 12 pi

So the area is 36 pi, and the circumference is 12 pi

A line has slope Four-thirds. Through which two points could this line pass? a. (24, 19), (8, 10) b. (10, 8), (16, 0) c. (28, 10), (22, 2) d. (4, 20), (0, 17) Please select the best answer from the choices provided A B C D

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i got it right

42.
A toy store's percent of markup is 45%. A model train costs the store $100. Find the markaup.
(First gets brainliest)

Answers

Answer:

$68.97

Step-by-step explanation:

The equation you have to use is I=p(1.45)

If you have a 45% increase to 100, the original price was $68.97.

Bowl B1 contains one white and two red chips; bowl B2 contains two white and two red chips; bowl B3 contains one white and four red chips. The probabilities of selecting bowl B1, B2, or B3 are 0.3, 0.2, and 0.5, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find:

a. P(W), the probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.

Answers

Answer:

a) 0.3 = 30% probability of drawing a white chip.

b) 0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. P(W), the probability of drawing a white chip.

1/3(one white out of 3) of 0.3(from B1).

1/2(two white out of 4) of 0.2(from B2).

1/5(one white out of 5) of 0.5(from B3). So

[tex]P(W) = 0.3333*0.3 + 0.5*0.2 + 0.2*0.5 = 0.3[/tex]

0.3 = 30% probability of drawing a white chip.

b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.

The probability of drawing a white chip from B1 is 1/3 out of 0.3, so:

[tex]P(B1 \cap W) = 0.3\frac{1}{3} = 0.1[/tex]

Then the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.3} = 0.3333[/tex]

0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.

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