if f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)

Answers

Answer 1

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

Step-by-step explanation:

[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]

Take each function and subtract them.

[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]

The trick here is that the negative sign changes all of the signs inside the parentheses.

[tex](f-g)(x)=6x^2-4-2x-2[/tex]

Combine like terms;

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


Related Questions

Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}

Answers

Answer:

No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.

Step-by-step explanation:

11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer

Answers

Answer:

$180 + $15d

Step-by-step explanation:

Since Carol's Car Rentals offers a deal of $180 down payment  + $15 per day and AL's Auto Rentals offer a deal of $250 down payment  $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:

cost of Carol's Car Rentals = Down payment + cost per day.

If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days

cost of Carol's Car Rentals = $180 + $15d

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)

Answers

Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

Learn more about equation of a line here:

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Which complex number has a distance of V17 from the origin on the complex plane?
O 2 + 151
O 17 +7
O 20 – 3i
O 4-7

Answers

Answer:

[tex]4-i[/tex]

Step-by-step explanation:

Use the formula for the distance of a complex number from the origin on the complex plane.

[tex]\sqrt{a^2+b^2}[/tex]

[tex]a+bi[/tex]

[tex]4-i[/tex]

[tex]\sqrt{4^2-i^2}[/tex]

[tex]\sqrt{4^2+(-1)^2}=\sqrt{16+1}=\sqrt{17}[/tex]

The complex number that has a distance of [tex]\sqrt{17}[/tex] is [tex]4-i[/tex].

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

How to determine the distance of a complex number

Complex numbers are a generalization from real numbers, whose expression are of the form a + i b, where a and b are the components of the real and imaginary components, respectively. The magnitude of complex numbers is determined by Pythagorean theorem, this is, the distance from the origin to the location of the number on the complex plane:

[tex]r = \sqrt{a^{2}+b^{2}}[/tex]

If we know that a = 4 and b = -1, then the magnitude of the complex number is:

[tex]r = \sqrt{4^{2}+(-1)^{2}}[/tex]

[tex]r = \sqrt{17}[/tex]

By Pythagorean theorem the complex number 4 - i has a distance from the origin to its location of [tex]\sqrt{17}[/tex] units on the complex plane. (Correct choice: D)

Remark

The statement presents several typing mistakes, correct form is shown below:

Which complex number has a distance of [tex]\sqrt{17}[/tex] from the origin on the complex plane?

A. 2 + i 15

B. 17 + i

C. 20 - i 3

D. 4 - i

To learn more on complex numbers, we kindly invite to check this verified question: https://brainly.com/question/10251853 #SPJ5

Which is a true statement about the diagram?

Answers

The right answer is of option C.

hope it helps..

good luck on your assignment

Answer:

c

Step-by-step explanation:

Expand 3x(2 + 11x) please answer

Answers

Answer:

6x + 33x²

Step-by-step explanation:

3x × 2 = 6x

3x × 11x = 33x²

– 4 vc2, when v = –7 and c = –2

Answers

Answer:

[tex] \boxed{112} [/tex]

Step-by-step explanation:

[tex]Evaluate - 4v {c}^{2} \: where \: v= - 7 \: and \: c= - 2 : \\ = > - 4v {c}^{2} \\ = > - 4( - 7) {( - 2)}^{2} \\ \\ {( - 2)}^{2} = 4: \\ = > - 4( - 7)4 \\ \\ - 4( - 7) = 28: \\ = > 28 \times 4 = 112[/tex]

Solve x - 3 < -1. Graph the solution.

Answers

Answer: x < 2

Explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3

to both sides of the inequality to get x < 2.

Before we graph, write your answer in set notation.

We can write this as {x: x < 2}.

It's important to understand what this means.

This means that any number less than 2 is a solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on +2.

We use an open dot because +2 is not included as a solution.

Then draw an arrow going to the left.

how to factor 5r^2+10r-240

Answers

Answer:

5 ( r+8) (r-6)

Step-by-step explanation:

5r^2+10r-240

First factor out the greatest common factor

5( r^2 +2r - 48)

Now factor what is inside the parentheses

What multiplies to -48 and adds to 2

8*-6 = -48

8-6 = 2

5 ( r+8) (r-6)

Please help me it is only 1 question please help me I have no idea about this

Answers

Answer:

53

Step-by-step explanation:

Answer:

(540 - π60 cm²) or 350cm³(351.5)

Step-by-step explanation:

You'll have to subtract the volume of the rectangular prism with the cylinder.

We know that the prism's volume is V = s*s*h = 6*6*16 = 540 cm²

We also know the cylinder's volume: V = πr²h = π(4/2)²*15 = π*4*15 = π*60

Now the only step remaining is to subtract the volume of the prism with the cylinder: 540 - π*60 cm³

540 - π*60 cm³ is the full answer

350 is the approximate answer (rounded it down from 351.5 to 350cm³)

The sum of three numbers is 84 the second number is 3 times the third . The first number is 6 less then the third . What are the numbers

Answers

Answer:

A=12

B=54

C=18

Step-by-step explanation:

A=first

B=second

C=third

A+B+C=84

B=3C

A=C-6

C-6+3C+C=84

5C-6=84

5C=90

C=18

A=C-6

=(18)-6

=12

B=3C

=3(18)

=54

12, 54, and 18 so, what he said is true

Step-by-step explanation: he already gave this to you

Here is a pattern made from sticks:
a) How many sticks would be in pattern number 6?
Answer: 32
b) How many sticks would be in pattern n?
Answer: ____

Answers

The answer is 5n+2.

Example:
6x5= 30
30+2=32

 Recursive formula of an arithmetic sequence is given by the expression,

                          [tex]T_n=a+(n-1)d[/tex]

                 Where, [tex]T_n=[/tex] nth term

                              [tex]a=[/tex] First term of the sequence

                              [tex]n=[/tex] Number of term

                              [tex]d=[/tex] Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are [tex]T_n=5n+2[/tex]

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       [tex]T_n=a+(n-1)d[/tex]

       [tex]T_n=7+(n-1)5[/tex]

       [tex]T_n=5n+2[/tex]

If [tex]n=6,[/tex]

       [tex]T_n=7+(6-1)5[/tex]

       [tex]T_n=7+25[/tex]

       [tex]T_n=32[/tex]

Learn more,

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Consider the diagram. Lines a and d are?

Answers

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

Please help! Correct answer only!

In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

I’ll mark you brainliest! What is the answer???

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]

Hope this helps!

What is the product of 8/9 and 2/7

Answers

Answer:

16/63

Step-by-step explanation:

8/9 * 2/7

Multiply the numerators

8*2 = 16

Multiply the denominators

9*7 = 63

Put the numerator over the denominator

16/63

The Answer is: 16/63

You just  multiply 8/9 & 16/63

HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
−→− bisects ∠DGF, m∠DGE=53∘. Find m∠DGF.

1. what is the measure of angle DBF? (image included below)

Answers

Answer:

Measure of angle DBF = 106°.

Step-by-step explanation:

Given in the question,

m∠DGE = 53°

and line segment GE is the angle bisector of ∠DGF.

Since segment GE is the angle bisector of ∠DGF that means it divides the angle DGF into two equal parts.

Therefore, m∠DGE ≅ m∠FGE

m∠DBF = m∠DGE + m∠FGE

m∠DBF = 2(m∠DGE)

             = 2(53)°

             = 106°

Therefore, measure of angle DBF = 106°.

Ay is any one down to work together on this? Not just this question but the whole unit of geometry

Please answer. will mark brainliest.

Answers

Answer:

See explanation

Step-by-step explanation:

Line A

gradient = 4

x-intercept = -1

y-intercept = 4

Line B

gradient = -3

x-intercept = -1

y-intercept = -3

y + 8x = - 72

x-intercept = -9

y-intercept = -72

PLEASE HELP
CDEF is a kite and mFCE =39. Find m1

A.102

B.39

C.78

Answers

Answer: 39

Step-by-step explanation:

Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.

Then:

m1 = 39

Which complex fraction is equal to 2/3?

4/3/8/3

5/6/3/4

3/4/9/8

3/5/2/5​

Answers

3/4/9/8 is equal to 2/3

write in algebraic expression to find the number of seconds in n minutes

Answers

can you give more information?
f= n•60

What is the slope of the graphed line?

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

Just use the rise over run method i told you about earlier.

The right point is 3 units higher and 9 units more to the right.

3/9 = 1/3.

i hope this helped :)

Mark this question as brainliest if you think it was the best answer.

This is the right answer.

What are the x-intercepts
1. (x - 12) (x + 6) = 0​

Answers

( x - 12 ) ( x + 6 ) = 0

x - 12 = 0 and x + 6 = 0

x = 12 and x = -6

Answer:

[tex]x=12,\:x=-6[/tex] are your x intercepts

Step-by-step explanation:

[tex]\left(x-12\right)\left(x+6\right)=0\\\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\\\mathrm{Solve\:}\:x-12=0:\quad x=12\\x-12=0\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\x-12+12=0+12\\Simplify\\x=12\\\mathrm{Solve\:}\:x+6=0:\quad x=-6\\x+6=0\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\x+6-6=0-6\\Simplify\\x=-6\\The\:solutions\:to\:the\:quadratic\:equation\:are:\\x=12,\:x=-6[/tex]

Can you please help me this is coordinates only and thank you.

Answers

Answer: (2,6)

Step-by-step explanation: you go the the left 3 from F then up 2 and you have it.

what number times there self eqaul to 64

Answers

Answer:

8

Step-by-step explanation:

8 times 8 = 64

8 the answer is 8 if you muiltiply 8 time 8 you get 6

Pleease helpthis is my final exam
I want the answer of second question

Answers

Answer:

7

Step-by-step explanation:

as it does that F thing where its equal to it....

Answer:

I wont answer for you, but ill guide you in the right direction

Step-by-step explanation:

X^2-11=53 in the simplest form

Answers

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

What is the gradient of the graph shown?

Answers

Answer:

-1/2

Because, for every one square, the line goes down by 1/2.

Answer:

- 0.5

Step-by-step explanation:

To find the gradient of a line,

divide the value of decrease by the value across.

So, count across from the extreme left toll the extreme right = 13

Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5

Now, you divide: 6.5 divided by 13 = 0.5

Since we counted down, it is negative = -0.5

Please mark brainiest

Select all the numbers that are in the range of the function f(x)=3-0.5x if the domain is {1,3,4}

Answers

Answer:

1

Step-by-step explanation:

Answer:

1,1.5,2.5

Step-by-step explanation:

f(x) = 3 - .5x

The domain is 1,3,4 so theses are the only inputs

f(1) = 3 - .5 = 2.5

f(3) = 3 - .5(3) = 3- 1.5 = 1.5

f(4) = 3 - .5(4) = 3-2 =1

The only outputs are 1,1.5,2.5

-7 written as a fraction is _____

Answers

Answer: -7/1

Explanation: -7/1 is an improper fraction, meaning it’ll just equal to seven. Whenever there’s a one as a denominator, remember, in this case, it’s just -7.
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