for f(x) = 2x + 1 and g(x)=x^2 - 7, find (f - g)(x)
A. x^2 + 2x - 8
B. -x^2 + 2x + 8
C. 2x^2 - 15
D. -2x + 2x - 6

Answers

Answer 1

Answer: B

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)=(2x+1)-(x^{2}-7)=2x+1-x^{2}+7=\boxed{-x^{2}+2x+8}[/tex]


Related Questions

What is the volume of a cylinder, in cubic feet, with a height of 13 feet and a base
diameter of 4 feet? Round to the nearest tenths place.

Answers

Answer:

163.3

Step-by-step explanation:

3.14*r^2*h

h=13

4/2 = 2

r=2

2^2 = 4

3.14*4 = 12.56

12.56*13 = 163.28

Rounded = 163.3

I believe the answer is 163.3

to collect data about the amont of time spent​

Answers

Answer:

Probably the first one because the other two questions would be un-reliable

Step-by-step explanation:

A or survey 20 randomly selected students from each grade.

how many feet?
help me please thank u​

Answers

Answer:

[tex]\fbox {4.26 feet}[/tex]

Step-by-step explanation:

Picturing this, we find a right triangle.

By taking the sin ratio, we can find the slanted part.

⇒ sin 28° = 2/x = 0.469471563

⇒ x = 2/0.469471563

⇒ x = 4.26 feet

The surface area of the triangular prism is
.

Answers

Answer:

576 m

__________________________________________________________ The surface area of the triangular prism is (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

For this question,
you know that the perimeter of the base is 6+10+8 which is 24.
and the length of the prism is 22,
so (22x24) + Base Area which is (6x8)/2-> 24x2
(22x24)+(24x2)= 528 + 48 = 576
so your answer is 576
__________________________________________________________

Hope this helped!

P(x) Q(x) = R(x); if P(x)
72 Am
R(x); if P(x)=x+2 and R(x) = x³ - 3x² - 6x-2, what is Q(x)?

Answers

Answer:

Q(x) is = to 11x² that's my answer

I need some help with this an explanation would be nice as well thanks

Answers

Answer:

Step-by-step explanation:


PLEASE HELP
1-Spin the spinner 20 times, create a table to display the results. What is the experimental probability of spinning yellow?
2-Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow?
3-What is the experimental probability of spinning red or yellow?

Answers

Answer:

24

Step-by-step explanation:

(MARKING BRAINLIEST TO FIRST CORRECT ANSWER!) Which statement below is true?
A. All squares are rectangles because both are quadrilaterals, have 90 degree angles and the opposite sides are parallel.
B. All trapezoids are rectangles because the opposite sides are parallel.
C. All parallelograms are rhombus' because they have 4 congruent sides and the opposite sides are parallel.
D. All rectangles are trapezoids because all the sides are parallel.

Answers

Answer:

A. All squares are rectangles because both are quadrilaterals, have 90-degree angles and the opposite sides are parallel.

Step-by-step explanation:

This is the only true statement because all squares are rectangles just with equal sides, the angles will always be 90-degrees.

Hope this helps!

If not, I am sorry.

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Answers

The value of x if both lines intersect is 2/3

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4

The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2

If the lines intersect, then h(x) = g(x)

Substituting the functions to get the value of "x"

-3x + 4 = 2

Subtract 4 from both sides

-3x + 4 - 4 = 2 - 4

-3x = - 2

Divide both sides by - 3

x = 2 / 3

Hence the value of x if both lines intersect is 2/3

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Answer:

2/3

Step-by-step explanation:

edge23

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2

Answers

A function assigns the values. The inverse of the function in terms of the area will be b=(a/7)-5.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is,

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14 x b+5/2. Write a function in terms of area to find the length of the other side.

The given is the function of the area of the trapezoid, a(b)=14 x b+5/2.

The area of a trapezoid is given as,

Area = Height × [(Sum of parallel sides)/2]

The given function can be written in terms of area as,

[tex]a = 14\times \dfrac{(b+5)}{2}\\\\\dfrac{2(a)}{14} = b+5\\\\\dfrac{2(a)}{14} -5= b\\\\\dfrac{(a)}{7} -5= b[/tex]

Hence, the inverse of the function in terms of the area will be b=(a/7)-5.

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Mike mixes paint at a hardware store. A certain shade of orange paint is made by
mixing white, red, and yellow paint in a ratio of 4 to 3 to 2. If Mike wants to make 3
gallons of paint that is this shade of orange, how many gallons of red paint will he
need?

Answers

Answer: 1 gallon

Step-by-step explanation:

white: red: yellow

4 : 3 : 2

total units: 9 units

total amount: 3 gallons

one unit: 3/9

             = 1/3

no of units of red: 3 units

amount of paint needed: 1/3 x 3

                                        = 1 gallon

the sum of m and n is 32, and the value of m is three times the value of n. what is the value of m and n?
A. m+n=32
n= 3m
B. m+3n=32
m=3n
C. m+n=32
m=3n
D. m+n=3
32m=n

Answers

Answer:

The correct set of equations is C.

Step-by-step explanation:

m + n = 32

m = 3n

We have 4n = 32, so n = 8 and m = 24.

The editor of a school magazine polled randomly selected students in the 8th, 9th, and 10th grades. They were asked which activity they enjoyed the most: watching sports, reading, or listening to music. The two-way frequency table shows the data she collected.

(see attachment for table)

Based on the data in the table, what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?

A. 0.39
B. 0.37
C. 0.35
D. 0.33

Answers

Answer:

D 0.33

Step-by-step explanation:

based on the table you would just divide 13/39 which is 0.33

I hope i am right

Answer: 0.37

Step-by-step explanation:

Instead of doing 13/39 which is the total number of 9th graders. You have to do 13/35 (35= the total amount of kids who prefer watching sports) because it is saying "what is the approximate probability that a randomly selected student is in the 9th grade, given that he or she enjoys watching sports the most?"

The table shows the age of some participants in a quiz competition and the number of questions they could answer correctly:
Age (years) (x)
15 21
17 22 16 19 18
Number of questions they could answer (y) 17 17 17 17 17 17 17
What is the correlation coefficient for the data, and what does it represent?
O0; it represents no correlation between x and y
O1; it represents a linear positive correlation between x and y
O-1; it represents a linear negative correlation between x and y
O1; it represents a linear negative correlation between x and y

Answers

Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

 

We have:

Age (years) (x)                                                     15  21   17  22  16  19  18

Number of questions  they could answer(y)    17  17   17  17    17  17  17

As we can see all y values are the same.

n∑y² = 7(2023) = 14161

(∑y)² = 119² = 14161

If we put the value of the above data the value will become undefined.

Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

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the cost of 10 water bottles is $55. find the unit cost of the water bottle

Answers

Answer:

$5.50

Step-by-step explanation:

For one water bottle you divide the 55 dollars by 10

55/10= 5.5

Answer:

$5.50

Step-by-step explanation:

We must divide to solve so lets do that now :)

55/10 = 5.50

Each bottle will cost 5 dollars and 50 cents :)

Have an amazing day!!

Please rate and mark brainliest!!

Write down seven multiplications with an answer of -20

Answers

Answer:

-10 x 2

10 x -2

5 x -4

4 x -5

20 x -1

-20 x 1

2 x 2 x -5

Step-by-step explanation:

Answer:

-1 x 20= -20

-20 x 1 = -20

-5 x 4= -20

-4 x 5= -20

-2 x 10= -20

-10 x 2= -20

-2 x 2 x 5 = -20

Step-by-step explanation:

use factors of 20

hope this hepled :)

solve on the interval please help!

Answers

Answer:

Ф = 2pi/3 , 4pi/3

Step-by-step explanation:

1 + cos Ф = 1/2

Subtract 1 from each side

1 + cos Ф -1 = 1/2-1

cos Ф = -1/2

Take the inverse cos of each side

cos^-1 ( cos Ф )= cos^-1(-1/2)

There are two solutions for the inverse cos of (-1/2), 2pi/3  and 4pi/3

 Ф = 2pi/3 +2 npi  

Ф = 4pi/3  + 2n pi  where n is an integer

We are limited to the interval between 0 and 2pi

Ф = 2pi/3 , 4pi/3

What is the branch of mathematics developed by isaac newton called today?.

Answers

Answer: Calculus.

Step-by-step explanation: He created calculus.

If a = 2√3, then the exact value of b is...

Answers

Answer:

b = 2

Step-by-step explanation:

using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{a}[/tex] = [tex]\frac{b}{2\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

b × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

b = 2

Answer:

C. b = 2Step-by-step explanation:

Given that a = 2√3.

Let's find value of b...

[tex]\bf \tan( {30}^{o} ) = \cfrac{b}{a} [/tex]

[tex] \bf \cfrac{1}{ \sqrt{3} } = \cfrac{b}{2 \sqrt{3} } [/tex]

[tex]\bf b = 2[/tex]______________________

Necesito la solución.

Answers

I need the solution, I think

Error Analysis Your classmate
says she drew HJ as an altitude of
triangle ABC. What error did she make?

Answers

Answer:

Step-by-step explanation:

Remark

An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.

It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.

Find the percent of the area under the density curve where xxx is more than 333.

Answers

Answer:

25%

Step-by-step explanation:

Got it right on khan

Answer:

60%

Step-by-step explanation:

its right on khan

Venn diagrams ! 3rd times a charm….

Answers

Answer:

1. 85 people were surveyed

f(z)=(1/3)

h(z) = z+4/z-2

evaluate (h•f)(0)

Answers

The value of the composite function (h•f)(0) is -2/3

How to solve the composite function?

The functions are given as:

f(z)=(1/3)

h(z) = z+4/z-2

Start by calculating f(0) and h(0)

f(0) = 1/3

h(0) = (0+4)/(0-2)

h(0) = -2

The composite function is then calculated as:

(h•f)(0) = h(0) * f(0)

This gives

(h•f)(0) = -2 * 1/3

Evaluate

(h•f)(0) = -2/3

Hence, the value of the composite function (h•f)(0) is -2/3

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Help please due in a couple minutes:,)

Answers

Answer:

The amount of air in a leaky tire.

Step-by-step explanation:

The plot shows a decrease with time (I'll assume the x axis is time).

Which of the answer options would one expect a decrease over time.

A leaky tire?  YES

Hair length with soda?  NO

Cost of a meal when adding appetizers?  NO

Answer:

a. the amount of air in a leaky bicycle tire as time increases.

Step-by-step explanation:

since the scatter plot is descending(y), then we can infer whatever is being recorded is decreasing as time goes on (x)

a. is a great example, as you have a leak in a bicycle tire the air will decrease.

b. does not make any rational sense, since soda does not affect an individual's hair length.

c. does not make sense since the plot is getting smaller over time, therefore adding prices (of said appetisers) makes the cost go up not down.

therefore your answer is a. the amount of air in a leaky bicycle tire as time increases.

hope this helps:)

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.





(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)

Answers

Answer:

The ordered pair which makes both the inequalities true is = (–2, 2)

Step-by-step explanation:

inequalities are the relationships between two expressions which are not equal to one another.

Inequalities are represented by the following relations:

≤: "less than or equal to"<: "less than"≠: "not equal to">: "greater than"≥: "greater than or equal to"

an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

so, the option B(-2,2) satisfies  the inequalities expressions given in the question

therefore we can conclude that (-2,2) is the ordered pair which ,makes both the given inequalities true.

so the correct answer is (-2,2)

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This month is October. Which month will 2451 months be later?

Answers

Answer:

January

Step-by-step explanation:

The month October is the 10th month,

there is 12 months in a year

2451 / 12 = 204.25

0.25 of a year, 1/4 of the year so 12/4 = 3

2451 months is 204 years and 3 months

3 months after October is January

10 + 3 = 13 where December is 12 and the 13th month is January

32 divided by 4x [16x1/2]-2

Answers

64x x [x] -2

Steps
1. Cancel out the greatest common factor

2. Calculate the absolute value

3. Calculate the quotient

4. Calculate the product

5. And then you get your solution 64x x [x] -2

HELPP URGENT and please explain


Answers

Answer:

A) There are two complex solutions.

Step-by-step explanation:

To know how many solutions a quadratic equation has, calculate the discriminant of the equation.

discriminant = b² - 4ac              

    where a = coefficient of x²

                b = coefficient of x

                c = constant of equation

if b² - 4ac > 0 , then equation has 2 real roots

if b² - 4ac = 0 , then equation has 1 real, repeated root

if b² - 4ac < 0 , then equation has 2 complex roots

In this case, discriminant = 9² - 4(-2)(-12)

                                          = -15

As -15 < 0, equation has 2 complex roots.

       

help me with this question please, thank you !

Answers

Answer:

2

Step-by-step explanation:

[(27divided by (-3)-9] divided by [15-21}

=[-9-9] divided by 3

= 6divided by 3 = 2

if answer is correct so mark me as brain lest :-)

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