If f(x)=10x+7 and g(x)= x^2-7x, find (f-g)(x).

If F(x)=10x+7 And G(x)= X^2-7x, Find (f-g)(x).

Answers

Answer 1

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]


Related Questions

15
Determine whether the ordered pairs (1,0) and 4,
(4:15)
are solutions of the following equation.
- 5x + 7y= -5
BRE
Is (1,0) a solution of - 5x + 7y = - 5?
O Yes
Ο Νο


(ANSWER QUICKLY)

Answers

Answer:

yes

Step-by-step explanation:

x = 1, y = 0

so,

-5×1 + 7×0 = -5

-5 + 0 = -5

-5 = -5

true, therefore (1, 0) is a solution (a point on the graph) of the equation.

I am not sure what the other pair should be.

PLEASE HELP

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:66.5 degrees

Step-by-step explanation:

the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.​

Answers

Answer:

3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap

I don't know exactly so I just try

Answer:

13 is the answer

Step-by-step explanation:

Calculate the distance between the points -8,2 and 3,2 on a coordinate plane

Answers

(-8,2)(3,2)

[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]

[tex]\\ \rm\Rrightarrow 11[/tex]

Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz

Answers

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

A number is 10 more than another number. Twice the sum of the two numbers is 44. Find the two numbers.

Answers

Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

The numbers are 6 and 12.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number are x and y.

A number is 10 more than another number then

x + 10 = y...............(1)

and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

x+ y= 22

y-10 + y = 22

2y = 32

y= 16

and, x= y-10 = 16-10= 6

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

please help with the screenshot

Answers

Answer:

[tex] \sin(x) = \frac{16}{17} [/tex]

Step-by-step explanation:

sin = opposite/ hypotenuse

Find ef if e (1,-2) and f (7,6)

Answers

y-y1=a(x-x1)
a=(y2-y1)/(x2-x1)
a= (6-(-2))/(7-1)
a=8/6
a=4/3
y-6=4/3(x-7)
y-6=4/3x-28/3
y=4/3x-28/3+6
y=4/3x-10/3 >>ef

I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.

[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]

I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]
After this I can't seem to progress.

Answers

After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives

[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]

Then taking differentials, you get

[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]

Replacing everything in the original integral then gives

[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]

Split up the integrand into partial fractions:

[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]

so that

[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]

please help meeee out

Answers

Answer:

between 15.5 and 16

Step-by-step explanation:

which std

What is the value of the expression 4x^3 – 3x when x = 6?

Answers

X=6,
4(6)^3 - 3(6)
4*(216)- 18
864 - 18
=846.


Hope it helped!

Whats the answer to it i can't figure it out

Answers

Answer:

-0.1

...............................

Answer:

-0.1

Step-by-step explanation:

-1/7 = -0.142857

-0.1 = -0.10

-0.1 > -1/7

How do they get Question 3

Answers

Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

Find the solution for
h - 12 =6

Answers

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18

5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?

Answers

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

6 bannas cost $0.75. How much do 20 bannas cost

Answers

Answer:

15

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

Rachael made 4 pounds of potato salad. How many ounces of potato salad did Rachael make?

Answers

Answer:

i think the answer is 64 ounces

Can a triangle be formed with side lengths of 2inches, 3 inches, and 6 inches?

Answers

The shows the 2 and 3 inch line segments at a
180
o
angle. There is no angle you can put the 2 and 3 inch line segment at which will allow it to be 6 in. long.
This will not be possible because triangles should have two sides that are the same length in order to be a regular triangle.

A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?

Answers

Answer:

$123,200

Step-by-step explanation:

0.06 x 2 = 0.12

140,000 x 0.12 = 16,800

140,000 - 16,800 = 123,200

The original buyer paid the amount of $123,200 for the property.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.

Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.

If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.

Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.

So, the original buyer paid the amount = 88% × $140,000 = $123,200

Therefore, the original purchase price was $123,200.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

pls help with this problem

Answers

Answer:  26 cm

====================================================

Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

√400=x² what is x? Thanks

Answers

Answer:

x=4.47213

I hope it's helps you

Slope-Intercept Form
Directions: Re-write the equation of
the line in slope-intercept form.
Slope must be in simplest/fraction
form. Do NOT put any spaces in
your answer.
Standard Form
2x+y=8
3x-y=7
5x+2y=8
4x+3y=9
X-y=0
x+4y=16
4x-3y=6
x+2y=-10
x+y=3
3x-2y=9

Answers

(Please vote me Brainliest if this helps!):

y = -2x + 8y = 3x - 7y = [tex]-\frac{5}{2}x[/tex] + 4y = [tex]-\frac{4}{3}x[/tex] + 3y = x + 0y = [tex]-\frac{1}{4}x[/tex] + 4y = [tex]\frac{4}{3}x[/tex] - 2y = [tex]-\frac{1}{2}x[/tex] - 5y = -x + 3y = [tex]\frac{3}{2}x - \frac{9}{2}[/tex]

HELP ME OUT PLZZZZZZ

Answers

Answer:

x=5

JK = 40 units

Step-by-step explanation:

JM=MK since the have the little red line which shows they are equal

7x+5 = 8x

Subtract 7x from each side

7x+5 -7x= 8x-7x

5 = x

JK = 7x+5 = 7(5)+5 = 35+5 = 40

Answer:

x = 5

JK = 80 units

Step-by-step explanation:

JM = MK

JM = 7x + 5 MK = 8x

7x + 5 = 8x

5 = 8x - 7x

5 = 1x

x = 5/1

x = 5

(7x + 5) + (8x) = JK

(7(5) + 5) + (8(5)) = JK

(35 + 5) + 40 = JK

40 + 40 = JK

80 = JK

JK = 80 units
••••••••••••••••••••••••••••••
Correct me if I’m wrong
Thank You!


How do i express x^2-3x into the form of (x-m)^2+n.
I will give brainliest to first correct answer

Answers

Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].

This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.

Hope this helps :)

A multiple choice test contains 25 questions with 5 answer choices. What is the probability of correctly answering 8 questions if you guess randomly on each question?

Answers

Answer: 0.0623

Step-by-step explanation:

The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

It is given that multiple choice test contains 25 questions with 5 answer choices.

To find probability of correctly answering.

What is probability?

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

Given that:

The probability of each correct answer is  [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]

The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:

p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]

p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]

p(8|25)=0.062348

So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

Learn more about probability here:

https://brainly.com/question/24385262

#SPJ2

Multiply (2 − 7i)(9 + 5i). (6 points)

53 − 53i
−17 − 53i
18 − 35i2
18 − 53i − 35i2

Answers

the answer would be

A. 53-53i !! :)

it was also the correct answer on the test ,, goodluck !!

Answer = B. -17 -53i

Name the two input device​

Answers

Answer:

keyboard and mouse are two examples of input device

Answer:

keyboard and mouse

Step-by-step explanation:

If you like my answer than please mark me brainliest

brainiest to whoever rightt.

Answers

Answer:

Perimeter of a square

Step-by-step explanation:

The formula for finding out the perimeter of a square is P = 4s

|72| ÷ |-12| =
?????????

Answers

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

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

-Chetan K

. Evaluate the expression below for x = 4. 6(x+8) (please ​

Answers

Answer:

D

Step-by-step explanation:

6(x + 8) =                 Plug in x with 4

6(4 + 8) =

6(12) =

72

D. 72
6(4+8) (remember distributive property)
6(4) & 6(8)
24+48
=72
so that means the answer will be D. 72
Other Questions
Four out of every 5 doctors use computers.Write the ratio of doctors who use computers to all doctors. If 4 out of 5 doctors use computers, how many doctors out of 5 do not use computers?Write the ratio of doctors who use computers to those who do not. 2. How does this picture below picture illustrate a monopoly? cht c u ? nc t nhin l cht hay hn hp Supplementary angles are pairs of angles whose measures total 180. Determine the measure ofsupplementary to an angle with a measure of 92 hey please help where it has the < thing it says ones tens nines I need help on this question, geometry basics. Please answer thisAnswer choiceA. Subtraction Property Of EqualityB.Associative Property Of EqualityC.Division Property Of EqualityD.Addition Property Of Equality help plss!! Directions: Translate into mathematical expressions. Example: The sum of three times a number and 10- (3n + 10)pleasee do all of these problems now!! and i will mark u branliest if u get at least 4 of em right:)1. Twelve less than z2. Twice take the sum of x and y3. Six less than four times a number4. Twice the sum of v and 56. The average of test scores x and y7. The cost of m kilograms of meat at $3.95 a kilogram Select the correct answer.How is the Free Exercise Clause of the First Amendment best described?O A. It prevents the government from creating a nationally recognized religion.B.It allows each individual the freedom to practice a religion of choice..It restricts a church's ability to collect money from its followers.ODIt keeps the federal government from placing property taxes on churches.ResetNext atm is gaining popularity as the means of payment explain it 9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters) If f(x)= 2|x|+3x, then the value of f(-1) is Find the linear function f if f^-1(2)=-1 and f^-1 (-9)=3 Scholars are now absolutely certain that Stonehenge site functioned as a timetable to mark seasonal changes. true or false 9 + x + 1 + 2xCan someone help me out with this :) Write a letter to your friend describing how you save who was in danger Are the following proportional? Explain or showyour reasoning3/5 and 18/25 When a car drives down a street, what energy conversions are happening?A. The stored energy of the gasoline is converted to the potentialenergy of the car.B. The kinetic energy of the gasoline is converted to heat and thekinetic energy of the car.C. The kinetic energy of the gasoline is converted to heat.D. The potential energy of the gasoline is converted to heat andkinetic energy Find the differential of the function w=x^(4)sin(y^(4)z^3) Indicate the answer choice that best completes the statemWrite each equa ton in standard form. Identify A, B, and cy=3/8x+5