Find the difference quotient and simplify the answer. g(x) = 3x - 1 ​

Answers

Answer 1

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3


Related Questions

If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x

Answers

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

f(x)+x^2+7 Find X if f(x)=23

Answers

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

HELP ME PLEASE THIS IS RIGHT ONE DONT GIVE WRONG ANSWER PLS 3

Answers

Answer:

33.32 m squared

Step-by-step explanation:

34 divided by 20 equal 1.7

19.6 times 1.7 equal 33.32

hope this helps you;)

pls Mark brainlest :)

Its the same dropdown for every question, what is the answer for each one

Answers

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

describe the discontinutiy for the function f(x)= x^2+5/x-5

Answers

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

In how many ways can 5 people sit around a circular table

Answers

Answer:

120 ways

Step-by-step explanation:

In the scenario described, there are 120 ways that 5 people can sit around a round table.

2x – 10 = 1/2(x – 8)

Answers

Answer:

X= 4

Step-by-step explanation:

Answer: x=4


Simplify 1/2(x-8) to x-8/2

Multiply both sides by 2

Add 20 to both sides

Simplify x-8+20 to x+12

Subtract x from both sides

Simplify 4x-x to 3x

Divide both sides by 3

Simplify 12/3 to 4

Solve and show your work. Plz :)

Answers

Answer:

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

the difference of six times a number and 7 is -49.​

Answers

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

What is an Algebraic Expressions?When we apply the mathematical operations on constants and variables then we get the mathematical statements, these are known as algebraic expressions.The mathematical operators include, division, addition, multiplication and subtraction.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

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Solve for n.
F=9/5(n-67)

Answers

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides
9/5 F + 67 = N

Hope this helped

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides

9/5 F + 67 = N

Hope this helped

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!

6v²-19v-36

College Prep Math

Answers

(3v+4)(2v-9) is there anything specific like favorite for grouping ?

Simplify the expression by combining like terms 3x^2-2x+4x-x^2+3-x

Answers

Answer:

2x² +x + 3

Step-by-step explanation:

3x²-2x+4x-x²+3-x

Like terms:

3x² - x² = 2x²

-2x + 4x -x =x

3

2x² + x + 3

i need to do those exercises but i’m not sure how

Answers

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

Find the distance between each pair of points (-2,3) , (-7, -7)

Answers

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

Can someone help me with this question? Thanks if you do!

Answers

Here’s the answer, hope this helps :)

Solve the equation for the variable.

[tex] - 5.2x + 57.9 = 15.9 + 1.8x[/tex]
x = [?]​

Answers

Answer:

x = 6

Step-by-step explanation:

Given

- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )

- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )

- 7x = - 42 ( divide both sides by - 7 )

x = 6

what is the answer to this equation. -12 = 5x

Answers

Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?

Answers

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

i’m really stuck on this one if you can help i’d really appreciate it

Answers

you're correct. its to take out the greatest common factor.

you wrote the correct answer! great job


Solve the equation
-2(2x - 4) = 4x
Write it step by step. I really need help

Answers

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

Here buddy !!!!!!!!!!!

please help me on this

Answers

Answer:

12x+10

Step-by-step explanation:

Add up the lengths of all sides to find the perimeter

P = x + 2( x+5) + 6(x-1) + 3(x+2)

Distribute

  = x + 2x+10 +6x-6 + 3x+6

Combine like terms

 =x+ 2x+ 6x+3x    + 10 -6+6

 = 12x+10

Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?

Answers

Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

Ari is jogging at an average rate of 2.25 meters per second. Find the time it will take him to jog 270 meters.

Answers

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

It will take Ari 120 seconds to jog 270 meters.

To find the time it will take Ari to jog 270 meters at an average rate of 2.25 meters per second, we can use the formula:

Time = Distance / Rate

where:

Distance = 270 meters

Rate = 2.25 meters per second

Time = 270 meters / 2.25 meters per second

Time = 120 seconds

Therefore, it will take Ari 120 seconds to jog 270 meters.

To know more about jog:

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13. John and Jane ate lunch at a local restaurant and wanted to divide the bill evenly. The
bill for the food was $8.70, plus 2 sodas for $0.75 each, including tax. How much
money back should just John receive if he pays for his half with a $20 bill?

Answers

John will receive $9.80 back

Express your answer as a polynomial in standard form. f(x)= f(x)= \,\,3x^2+6x+5 3x 2 +6x+5 g(x)= g(x)= \,\,-x+3 −x+3 \text{Find: }f(g(x)) Find: f(g(x))

Answers

The value of f(g(x)) is,  [tex]f(g(x))=3x^{2} -24x+50[/tex]

Composition of function:

The given function are,

             [tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]

We have to find [tex]f(g(x))[/tex].

             [tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]

Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]

Learn more about the Polynomials here:

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(2,2), (-3,3) find the distance between the two points round to the nearest tenth.​

Answers

Answer :

[tex]d = \sqrt{26} [/tex]

The answer is Square root 26

Whoever answers first is brainliest

Answers

Answer:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

Step-by-step explanation:

Evaluate a+b+c when a=4.035, b= -17, and c=12.3

Answers

The answer will probably be -0.665

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

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