Help please
Simplify the difference quotient (f(x + h) − f(x) )/h if h ≠ 0.
f(x) = x2 + 38

Answers

Answer 1

Answer:

2x + h

Step-by-step explanation:

[tex]\frac{f(x+h)-f(x)}{h}[/tex]

= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]

= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]

= [tex]\frac{2hx+h^2}{h}[/tex]

= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

= 2x + h


Related Questions

Find the domain and range of the function represented by the graph . What’s the domain an range

Answers

b, remember the domain is the x values, and the range is the y values

It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?

Answers

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

What is the area of a rectangle with side lengths of 5 meter and 3 meter?
- -
6 4

Answers

where width ?

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

Determine whether the following sequence is arithmetic,
geometric, or neither.
1. 4, 1, 2
2. 4, 20, 100
3.212 106,53

Answers

Answers:NeitherGeometricGeometric

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

Explanation:

The sequence {4,1,2} is neither because both arithmetic sequences and geometric sequence are either always increasing or always decreasing. We start off decreasing when going from 4 to 1, but increase to 2.

----------

The sequence {4,20,100} is geometric because we multiply each term by 5 to get the next term. That means the common ratio is 5. Notice how this sequence is increasing.

---------

The sequence {212,106,53} is also geometric. This time the common ratio is 1/2 = 0.5; this sequence is decreasing.

What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?

Answers

Answer:

y=1/4x + 1

Step-by-step explanation:

first equation,,y=1/4x - 1

G1 = G2

G2 = 1/4

y+1 /x+8 =1/4

4y = X + 8 -4

4y =x + 4

y = 1/4x + 1

(9,11)(9,3) find the slope and explain
please

Answers

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

11-3/9-9

8/0

0

slope=0

Need help fast on hs geometry please

Answers

Here, the two angles are equal.So, it is an isosceles triangle.So, the two opposite sides to the equal angles will be equal.Therefore, XY = YZ

[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}

15=4x+3

=>4x=15−3

=>4x=12

=>x=3[/tex]

Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

Answers:

3, 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

What’s the answer?? I need asap!

Answers

Answer:

120°

Step-by-step explanation:

Opposite angles in a cross of 2 lines like this are equal;

A = 120 and B = D = 60°

Answer:

∠ A = 120°

Step-by-step explanation:

∠ A and 120° are vertically opposite angles and are congruent , so

∠ A = 120°

I seriously don’t understand please help

Answers

Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

will mark brainleist

Answers

Answer:

Figure a) 2

figure b) 4

figure c) 5

Step-by-step explanation:

For the holidays, Antonio is driving to visit his grandparents who live 441 miles away. Antonio's car gets 31.5 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Antonio wants to know how much gas he will need.
Use an equation to find how much gas Antonio needs for the drive.
Antonio needs
gallons of gas.


Answers

Answer:

12

Step-by-step explanation:

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42

Answers

The first equation equals 13
The second one equals 12
to help you discover the answer better I really think the second one

Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.

a
Yes, because each input is a natural number with multiple output numbers in the sequence

b
Yes, because each input is a natural number with a single output number in the sequence

c
No, because there are no input values paired with a single output number in the sequence

d
No, because there are multiple input values paired with a single output number in the sequence

Answers

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

The sequence is a function because each input is a natural number with a single output number in the sequence.

What is arithmetic progression?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given the sequence {4, 7, 10, 13, 16, ...},

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.

a₂ - a₁ = 7 - 4 = 3

a₃ - a₂ = 10 - 7 = 3

the difference in output is the same for all the numbers in sequence.

Hence the sequence is the function of the Arithmetic Sequence.

Learn more about arithmetic progression;

https://brainly.com/question/16947807

#SPJ2

FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).

What equation shows the correct rule for the function q?


q(x)=21x

q(x)=21x−3

q(x)=21x+9

q(x)=21x+3

Answers

Answer:

last one

Step-by-step explanation:

Answer: the correct answer is B the guy above me is wrong

Step-by-step explanation:

unit 5 relationships in triangles homework 1 triangle midsegments

Answers

Q10

∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°

Q11

∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°

can i get some help? :') I dont know what im doing

Answers

The chart I've attached is very helpful for these types of problems!

A 270 degree rotation clockwise is (-y, x).

X = 3

Y = -2

V' = (2, 3)

Hope this helps! :)

PLEASE HELP QUICKLY Determine the equivalent system for the given system of equations: 5x + 3y = 1 4x − 5y = 4

Answers

Answer:

x = 32/67 y = 36/67

Step-by-step explanation:

5x+3y = 4 ------1

14x-5y = 4 -------2

1×5 ; 25x+15y = 20 --------3

2×3 ; 42x-15y = 12 -------4

3+4 ; 67x = 32

x = 32/67

5×(32/67)+3y = 4

y = 36/37

Answer:

2x + 3y = 7

9x − 2y = 4

Step-by-step explanation:

i did the quiz on flvs

−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK

Answers

Answer:

[tex]x \leqslant \frac{ - 17}{6} [/tex]

write y+9=-3x-9 in slope intercept form

Answers

Answer:

y = -3x - 18

Step-by-step explanation:

Subtract 9 from each side

I'm not sure if this s corrct. Can you guys check it for me?

Answers

I think it’s right but someone else might need to check

Answer:

YUP!

Step-by-step explanation:

Let's take the 60 degrees angle first. 180-60=120

3x+x=4x

120/4=30

So you were right!

:))

There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?

Answers

75/5 = 15

15= 1 counsellor for 15 students
so

15 x 12 = 180 students

anyone can have few minutes to help!!

Answers

Answer:

i am not sure

Step-by-step explanation:

If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now

Answers

Answer:

13. 70(two digits 7 times 10 which is a multiple of 5)

Hope This Helps!!!

During a cold winter day, the temperature change was - 2.3 f per hour for a period of 6.5 hours. What was the change in temperature during that time?

Answers

Answer:

-14.95 F

Step-by-step explanation:

Given:

Temperature change rate is - 2.3 F per hourTime is 6.5 hours

The change in temperature is:

temperature change rate * time -2.3 * 6.5 = -14.95 F

The angle measures of an isosceles triangle are shown. Find the value of w.

Answers

Answer:

[tex]w=7[/tex]

Step-by-step explanation:

Using the Angle Sum Theorem which states that all the interior angles in a triangle add up to 180 degrees you can use that to solve for w with the following:

[tex]62 +9w-1+8w=180[/tex]  First combine like terms

[tex](62-1)+(9w+8w)=180[/tex]

[tex]61+17w=180[/tex] Then subtract 61 from both sides.

[tex]17w=180-61[/tex]

[tex]17w=119[/tex] Now divide by 17

[tex]w=119/17[/tex]

[tex]w=7[/tex]

Rotation 180 counterclockwise around the origin of the point (-3,-7)

Answers

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

Solve
x ^ 4 -8x ^ 2 – 9 = 0

Answers

Answer: 0 is the answer

Step-by-step explanation: your welcome its 0

Give the coordinates of the point P without using any new variable.​

Answers

Answer:

Step-by-step explanation:

C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).

What is the probability that a student took AP Chemistry, given they did not get into their first-choice college? Enter
your answer as a decimal to the ten thousandths place.

Answers

Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Did not get into their first-choice college.Event B: Took AP chemistry.

According to the chain given, the percentages associated with not getting into their first-choice college are:

0.1375(chemistry).0.1575(physics).0.24(Env Sci).0.07(Biology).

Hence:

[tex]P(A) = 0.1375 + 0.1575 + 0.24 + 0.07 = 0.605[/tex]

The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence [tex]P(A \cap B) = 0.1375[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1375}{0.605} = 0.2273[/tex]

0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer: 0.2273

Step-by-step explanation: because it says so <3

The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)

Answers

Answer:

8.85

Step-by-step explanation:

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