Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.
(f-g)(x)= ?
What is the domain of (f-g)(x)?
A. The domain of f-g is the set of all real numbers .
B.The domain is f-g is the set of all x ≤ 0.
C. The domain is f-g is the set of all x ≥ 0.
D. The domain of f-g is the set of all real numbers except x=0.

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]

Therefore:

Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]

[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]

Answer: length of pencil is 9.8 inches.

Step-by-step explanation:

The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is

d = √(l² + w² + h²)

Where

d = diagonal = length of pencil

w = width = 4 inches

h = height = 4 inches

l = length = 8 inches

Therefore,

d = √(4² + 4² + 8²) = √96

d = 9.8 inches

Answer:

2x^3-6x^2-14x+24

Step-by-step explanation:

Answer:

1 i believe

Step-by-step explanation:

Answer:

The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.

Would really appreciate a brainliest! Hope this helped! =)

Answer: B, C, E

Step-by-step explanation: dude trust me c'mon

Answer:

Angle 1 or Angle 3

Step-by-step explanation:

They are the only two that are immediately next to angle 2

Answer:

angle 1

Step-by-step explanation:

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

Answer:

Eva would have been better off selecting the 20-year term policy.

Step-by-step explanation:

Base on the scenario been described in the question, Eva would have been better off selecting the 20-year term policy. This reason is because assuming Eva bought the 20-year term policy, she wont be paying the new charge of extra 40% to her premium rate, compared to when she bought the 10-year term policy then renew the policy for another ten years.

Eva's best option would be to buy on a 20-year policy. This is better because she is able to evade the additional, 40% to her premium rate.

Premiums are percentages of the cost value charged by the insurance company for their services and benefits.

Read more on insurance premium;

https://brainly.com/question/9696972

Answer:

This predicted value is that it is unrealistically high

Step-by-step explanation:

According to the data given in order to calculate the predicted value we would have to make the following calculation of the predicted value and then conclude.

predicted value=26.693 + 0.055*3000

predicted value=191.693

By having the result of the predicted value we can conclude that what is wrong about this predicted value is that it is unrealistically high.

Answer: 30!

Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

:)

Answer:

the mode is 76, the median is 83, and the mean is 85.2

Step-by-step explanation:

Mode is the number which appears most often in a set of numbers.

To find the Median, place the numbers in value order and find the middle number.

To find mean add up all the numbers, then divide by how many numbers there are

Unit cost = total price / total amount.

A) 2.99 / 200 = $0.01495 per ml

B) 3.80 / 450 = $0.00844 per g

Round the answers as needed.

Answer:

8z^3-36z^2+54z-27

Step-by-step explanation:

(2z-3)^3

(2z)^3*(2z)^2*3+3*2z*3^2-3^3

8z^3-3*4z^2*3+3*2z*9-27

8z^3-36z^2+54z-27

Answer:

[tex]8z^3-36z^2+54z-27[/tex]

Step-by-step explanation:

[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]

Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = [tex]\frac{1}{3}\pi (8.6)^2(14.3)[/tex]  [ radius = [tex]\frac{17.2}{2}=8.6[/tex] ]

             = [tex]\frac{1057.628\pi }{3}[/tex]

             = 1107.55

             ≈ 1107.6 cubic feet

Therefore, volume of the given cone is 1107.6 cubic feet.

Answer:

146.6 ft3

Step-by-step explanation:

Answer:

Se debe fabricar 150 litros para llenar 1.000 frascos

Step-by-step explanation:

Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.

Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:

litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3

litros de perfume=50 x3

litros de perfume=150

Se debe fabricar 150 litros para llenar 1.000 frascos

Answer:

8 is the answer

Step-by-step explanation:

4 to the power of 3 is basically 4x4x4 which equals 64, and 2 to the power of 3 is 2x2x2 which is 8, and 64 divided by 8 is 8

Answer:

8

Step-by-step explanation:

4³ ÷ 2³

Indices

= (2²)³ ÷ 2³

= 2 ^ 6 ÷ 2³

= 2 ^ (6-3)

=2³ = 8

8 1/4 should be the answer

Answer:

8 1/4

Step-by-step explanation:

33/4 simplified is 8 1/4

Answer:

22/28 = 11/14

Step-by-step explanation:

no of socks other than blue = 22

total no of socks = 28

so probability= 22/28 = 11/14

Answer:

22

Step-by-step explanation:

8 black 6 blue and 14 white is equal to 28

and if 6 are blue the rest are not so 6-28=22

Answer:

A

Step-by-step explanation:

To calculate this, the first thing we need to do is to calculate the z-score

Mathematically,

z-score =( x - mean )/SD

according to the question, X = 55 inches, mean = 57 inches and SD = 4.6 inches

we plug these values into the equation

z-score =( 55-57)/4.6 = -2/4.6 = -0.4348

The required probability we are trying to calculate is;

P( z < -0.4348) or simply P(x<55)

To calculate this probability we use the standard score table

From the standard score table,

P( z < -0.4348) = 0.33186

In percentage this is 33.186%

To the nearest percentage, this is 33%

Answer:

254.469 inches^3

Step-by-step explanation:

v=(pi)(r)^2(h)

pi(3)^2(9)

pi(9)(9)

pi(81)

254.469

Answer:

There are 176 women in the company.

Step-by-step explanation:

Let number of men are 5x and number of women are 8x.

Total number of employees in the company are 286.

But according to given condition, total no of employees are :

[tex]5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22[/tex]

Total no of women are 8x. It means [tex]22\times 8=176[/tex]. Hence, there are 176 women in the company.

Answer:

how many numbers are there and if there is more of the same number then that will be ur probability

Step-by-step explanation:

Answer:

616 nails

Step-by-step explanation:

No. of nail box bought  = 44

No. of nail in each box = 56.

Total no of nail in 44 box = No. of nail box bought * No. of nail in each box

                                          = 44 * 56 = 2,464

These nails were distributed in 4 houses equally.

Let no. of nail distributed in 1 houses be x.

Thus, total nails  distributed in 4 houses equally = 4x.

These 4x nail should be equal to Total no of nail in 44 box

4x = 2464

=> x = 2464/4 = 616

Thus, each house would get 616 nails.

Answer:

6a) 1

6b) 11

7a) 4

7b) 10

8a) 6

8b) 14

9a) 11

9b) 13

Step-by-step explanation:

In order to make a triangle, we need to follow this property:

a <= b + c

(Known as "triangle inequality")

Where 'a' is the bigger side and 'b' and 'c' are the other two sides.

So, using this property, we can solve the following problems:

6a) Maximum side will be 6:

6 <= 5 + c

c = 1

6b) Minimum sides will be 5 and 6:

a <= 5 + 6

a = 11

7a) Maximum side will be 7:

7 <= 3 + c

c = 4

7b) Minimum sides will be 3 and 7:

a <= 3 + 7

a = 10

8a) Maximum side will be 10:

10 <= 4 + c

c = 6

8b) Minimum sides will be 4 and 10:

a <= 4 + 10

a = 14

9a) Maximum side will be 12:

12 <= 1 + c

c = 11

9b) Minimum sides will be 1 and 12:

a <= 1 + 12

a = 13

Answer:

UTR and UTW, hope this helped!

Step-by-step explanation:

Idk what to explain here...

Answer:

XWY and VWT

Step-by-step explanation:

Vertical angles are formed from the same lines but are opposite each other

XWY and VWT  are formed by the same lines but are opposite each other

Answer:

What was the regular price of the T-shirt?

What question is being asked in this word problem?

What is the regular price of the skirt?

How much money does Jill have left?

How much does the T-shirt normally cost?

What is the amount Jill pays in sales tax?

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

Answer:

Number of miles = dependent variable

Number of gallons used = independent variable

Step-by-step explanation:

In order for the driver to see how many miles the car can run, they must first see how many gallons of gas they have in the car. The number of miles depend on the number of gallons used. So, your answer would be letter choice A.

The statement which best represents the relationship is that, the number of miles is the dependent quantity and the number of gallons is the independent quantity.

Dependent variable are variables which depends on another variable to take it's value.

Independent variables are those which does not depend on other variables.

Given is a table which represents the number of miles travelled and the number of gallons of gas used.

From the table, if x represents the number of gallons of gas used and y represents the number of miles travelled, then the equation can be written as,

y = 35x

It is clear that, the value of y depends on the value of x.

So, x is the independent variable and y is the dependent variable.

That is, number of gallons of gas used is the independent variable and number of miles travelled is the dependent variable.

Hence the number of miles is the dependent quantity and the number of gallons is the independent quantity.

Learn more about Independent and Dependent Quantities here :

https://brainly.com/question/18296158

#SPJ3

Answer:

x = 2.5y

Step-by-step explanation:

If a cow can give 5 gallons of milk after eating 2 pounds of grass.

Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.

Hence,

5y = 2x

We will simplify it to get what x equal to y by dividing 2 on both side we find,

x = 2.5y

x is equal to 2.5 y

By eating 1 pound of grass cow can give 2.5 gallons of milk.

Answer:

26xy

Step-by-step explanation:

#THANKMELATER

Explanation:

Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.

Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

Answer:

30

Step-by-step explanation:

Since there are 5 possible outcomes for the cards, and 6 possible outcomes for the die, there are a total of 5*6=30 outcomes possible. Hope this helps!