Find the difference quotient of​ f; that​ is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6

Answers

Answer 1

Answer:

-4

Step-by-step explanation:

Given the following function:

f(x) = -4x + 6

We have to find the difference quotient of​ f(x); that​ is,

[f(x + h) - f(x)]/h

So, we ned to compute f(x + h) as follows:

f(x+h) = -4(x+h) + 6 = -4x - 4h + 6

Replacing into the difference quotient, we get:

[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h

[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h

[f(x + h) - f(x)]/h = [- 4h)]/h

[f(x + h) - f(x)]/h = -4


Related Questions

How do I solve this equation:
-5(n-1)=7(n+3)

Answers

-5(n-1) = 7(n+3)

First, distribute the 5 in the first parentheses.

-5n+ 5 = 7(n+3)

Next, distribute the 7 in the second set of parentheses.

-5n + 5 = 7n + 21

Subtract 7n from both sides.

-5n + 5 -7n = 21

Subtract 5 from both sides.

-5n - 7n = 21 + 5

Collect like terms.

-12n = 16

Divide both sides by -12

Answer -3/4

Answer:

-3/4

Step-by-step explanation:

The First step is to distribute the 7 in the second part of parentheses.

-5+5-7n=21

-5-7n=21+5

Then collect the terms

-12n=16

Lastly distribute both sides by -12

And the answer is -3/4

You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?

Answers

Answer:

216

Step-by-step explanation:

12 × 18 = 216 :)) !!!!

Please answer need help

Answers

Answer:

-9,5 -> -9,1 -> -8,9 -> 8,7

Figure 3:

1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total

1. 9
2. 12
3. 18

Answers

c) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.

Answer:

9

Step-by-step explanation:

Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make e understand them.

Answers

Answer:

add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1

Step-by-step explanation:

Answer:

2+√3

2-√3

Step-by-step explanation:

4x-1-x²=0x²-4x+1=0x²-4x+4-3=0(x-2)²=3x-2=√3 ⇒ x= 2+√3x-2= -√3 ⇒ x= 2-√3

Roots are irrational

Find the value of x in each case. Give reasons to justify your solutions!

Q ∈ PR

Answers

Answer:

x = 52 Degrees

Step-by-step explanation:

Welp, here I go again

According to the Exterior Angle theorem Angle R + Angle S = Angle PQS

So simplified that'd be (90 + 34) = x + 72

124 = x + 72

x = 124 - 72

x = 52 Degrees

Help!
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag, y, given an original price, p? Select all that apply. *
A) y = 0.72p
B) y = p + 0.72p
C) y = 1.28p
D) y = p + .28p
E) y=1.28p
F) y = 1 + .28p

Answers

Answer: it’s C.

Step-by-step explanation:

The equation that represents the new price of a bag is y = 1.28p.

Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:

Markup rate = (selling price - cost price)/cost price

Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:

28% = (y- p)/p

y-p = 0.28p

y = 1.28p

Hence the equation that represents the new price of a bag is y = 1.28p.

Find out more at: https://brainly.com/question/23106860

Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?

Answers

Answer:

$7.00

Step-by-step explanation:

First you have to order the prices from least to greatest-

$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00

Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)

The median price is 49.00

You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$

Answers

Answer:

The amount of interest to be paid is $105

Step-by-step explanation:

To find how much interest that will be paid, we will follow the steps below;

Simple Interest = PRT / 100

where p is the principal,  R is the rate and T is the time  in years

from the question given

principal P = $1000

Rate R = 3.5  

and time T = 3

substitute the values into the formula above

Interest = $1000×3.5×3   / 100

              =$10×3.5×3

               =$105

Interest = $105

The amount of interest to be paid is $105

Answer: no sense

Step-by-step explanation:

pls help meeeeeeee pls ​

Answers

Answer 3: m equal 12h
You can begin by choosing a point on the graph.

Chosen point = (x, y) = (1, 12)
m = amount of money
h = hours
12m = 1h

Answer: 12m = h

someone please help me please and thank you

Answers

Answer:

it is the second one

Step-by-step explanation:

if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.

The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.

Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.

Answers

Answer:

18% , 27 Hours

Step-by-step explanation:

On edge 2020

The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.

What is a Function?

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

Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.

Therefore, the value can be written as,

⇒ [tex]y = 100 (0.5)^{x/4}[/tex]

Put x = 10;

⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]

⇒ y = 17.677

⇒ y = 17.7

Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.

Learn more about Function visit:

brainly.com/question/5245372

#SPJ7

How do you write the circumference of the circle in terms on 几

Answers

____________________________________

Hey!!!

The formula to find circumference of circle

=2 pi r

For eg:

Radius=4 cm

Circumference of circle=2 pi r

=2 *pi*4

=8 pi

Hope it helps..

Good luck on your assignment

#Stay safe#

__________________________________

(a) Find an angle between 0 and 2π that is coterminal with −19π10.

Answers

Answer:

[tex]\dfrac{\pi}{10}[/tex].

Step-by-step explanation:

All coterminal angles of an angle [tex]\theta[/tex] are defined as

[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]

where, n is an integer.

The given angle is

[tex]\theta=-\dfrac{19\pi}{10}[/tex]

So, all coterminal angles of an angle [tex]\theta[/tex] are

[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]

For n=1,

[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]

[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]

[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]

[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]

Since,  [tex]\dfrac{\pi}{10}[/tex]  between 0 and 2π, therefore,  the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].

if 5800 people buy something that's 0.25 cents how much money would be made​

Answers

Answer:

1450

Step-by-step explanation:

Take the amount of people times the dollar amount

5800 * .25 =1450

Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2

Answers

Answer:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Step-by-step explanation:

[tex]x+2y=-8 \\\\y=12x-2[/tex]

Substitute:

[tex]x+2(12x-2)=-8[/tex]

Expand:

[tex]x+24x-4=-8[/tex]

Simplify:

[tex]25x=-4[/tex]

Divide both sides by 25:

[tex]x=-\dfrac{4}{25}[/tex]

Plug this back into one of the original equations to find y:

[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]

The ordered pair that represents this solution is therefore:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Hope this helps!

Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?

Answers

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

Answer the question below

Answers

Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.

Answers

Answer:

  (d)  Adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...

  Adjacent angles share a side.

Answer: D:  Adjacent angles share a side

Step-by-step explanation: Hope that helped

5x - 2 = 10 - X
Please help

Answers

Answer: x = 2

5x - 2 = 10 - x

Add x to both sides.

6x - 2 = 10

Add 2 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Step-by-step explanation:

5x - 2 = 10 - x

5x + x = 10 + 2

6x = 12

x = 12/6

x = 2

HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2

Answers

Answer:

D. m³+m²

Step-by-step explanation:

If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:

2m² -7m²+m³+6m²

m²+ m³

Answer:

other guy is right

Step-by-step explanation:

edg. 2020

What’s the vertex y=-1/2(x+3)^2-1

Answers

Use the vertex form,
y
=
a
(
x

h
)
2
+
k
y
=
a
(
x
-
h
)
2
+
k
, to determine the values of
a
a
,
h
h
, and
k
k
.
a
=

1
2
a
=
-
1
2
h
=

3
h
=
-
3
k
=

1
k
=
-
1
Find the vertex
(
h
,
k
)
(
h
,
k
)
.
(

3
,

1
)

Answer:

vertex = (- 3, - 1 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form

with vertex = (- 3, - 1 )

select the correct answer. witch is the correct simplified form of the expression ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-1/3 -1/2 = -5/6

1/2-1/4 = 1/4

The negative makes the reciprocal

x^1/4/y^5/6

i need help please thanks

Answers

Answer:

66 units

Step-by-step explanation:

just addition

Answer:

66 units

Step-by-step explanation:

The perimeter of a two dimensional object is all of its sides added together:

6+14+10+17+4+3+8+4=

20+10+17+4+3+8+4=

30+17+4+3+8+4=

47+4+3+8+4=

51+3+8+4=

54+8+4=

62+4=

66 units

Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2

Answers

Answer:

A and D

Step-by-step explanation:

576 ^ 1/2 = + or - 24

Simplify. 12x^4y^5+8x^3y^7-16x^2y^6 over 4xy^5

Answers

Answer:

3x^3+2x^2y^2-4xy

Step-by-step explanation:

You should Photomath really good for math problems

Please help! I will mark you as brainliest!

Answers

Answer:

£290.70

Step-by-step explanation:

50x5=250

20x2=40

10x7=70

5x3=15

total = 375

375/1.29=290.697

= £290.70

Step-by-step explanation:

$50-5= 50×5

= 250

$20-2=20×2

= 40

$10-7= 10×7

= 70

$5-3= 5×3

15

then,

we add

250 + 40 + 70 + 15 = 379

£1= $1.29

$ = 1/1.29

= 379/1.29

Need Help ASAP!!!!!....

Answers

Answer x=2.5 the steps are in the picture below

HELP PLEASE I NEED HELPPPP
What is the sign of....

a x (-b/b)
when a =0 and b<0

A. positive
B. negative
C. zero

THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH

Answers

Answer:

C. zero

Step-by-step explanation:

a * (-b/b)

-b/b = -1

a* -1

If a = 0 then

0 * -1 = 0

Answer:

0

Step-by-step explanation:

pls give brainliest

To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.

(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)

(You dont need to explain just answer it)

Answers

(11x+10)(x+-1)
(X+1)(11x+-10)
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At the beginning of a semester, a group of five students (Marcus, Gerard, Penelope, Zendaya, and Duane) are asked to order a snack that the teacher will deliver to the students free of charge before the first class of the tenth week of the semester. The three choices are an apple, a banana, or a Snickers candy bar. The teacher collects the orders and finds that two students have ordered an apple, two students have ordered a banana, and one student has ordered a Snickers candy bar. The four students who ordered either an apple or a banana cite health consciousness as the reason for their choice. Immediately before the orders are scheduled to be delivered, the teacher informs the students that they can switch their choice and order something else from the original menu if they wish, or they can receive what they originally ordered. Which of the following scenarios is the best example of inconsistent intertemporal decision-making?A. Gerard ordered a banana and switched to an apple when prompted.B. Duane ordered a Snickers candy bar and did not change his choice when prompted.C. Penelope ordered an apple and switched to a banana when prompted.D. Zendaya ordered a banana and switched to a Snickers candy bar when prompted.E. Marcus originally ordered an apple and did not change his choice when prompted. Please help !!!!!!!!!!! Will mark brainliest !!!!!!!!!!! in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime A. $600B. $1600C. 1200D.$8400 Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why. 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