Determine f(a+h)-f(a)/h for f(x)=x^2+5x

Answers

Answer 1

Answer:

2x + 5

ok.. slightly silly question...

you will eventually learn that this formula is the

formula for the "derivative" in calculus....

A[tex]x^{b}[/tex] becomes (a*b)  [tex]x^{b-1}[/tex]

2x + 5

Step-by-step explanation:


Related Questions

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?


A.) 4x - 5y = 5

B.) 5x + 4y = 37

C.) 4x + 5y = 5

D.) 5x - 4y = 8

Answers

Answer: A , 4x - 5y = 5

Step-by-step explanation:

i just did it , duhhh

Answer:

a

Step-by-step explanation:

What is the simplified value of the exponential expression 273?

1
Ο Ο Ο
9

Answers

Answer:

The answer is 3

For the steps, Im leaving it blank for you to figure it out first.

If you really need help, ask anytime and I'll reply as soon as i can :)

if the time is 7:32 what time will it be in 9 hours and 25 minutes?

Answers

Answer:

The time would be 4:59

Step-by-step explanation:

Use Venn diagrams notation to describe the shading of
A
B

Answers

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

The shade part is where you write what each side has in common.

Which of the following are necessary

Answers

Step-by-step explanation:

B) opposite sides are congruent !!!!!!

Which function vertex form is equivalent to f(x)=x^2+6x+3?

Answers

Answer:

y = (x + 3)² - 6

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

Given

f(x) = x² + 6x + 3

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 + 3

     = (x + 3)² - 6 ← in vertex form

The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240. A) Find the first term. B) Find the common ratio. C) Justify your answers by showing steps that demonstrates your answers generate S8=19680 and S4=240.

Answers

Answer:

First Term = 6

Common Ratio = 3

Step-by-step explanation:

According to the Question,

Given, The sum of the first eight terms in a Geometric Series is 19680 and the sum of the first four terms is 240 .

Thus, [tex]S_{8} = 19680[/tex] & [tex]S_{4} = 240[/tex] .

The Sum of n-term of Geometric Mean is [tex]S_{n} = \frac{a(r^{n-1)} }{r-1}[/tex] Where, r>1 , a=First term of G.P & r=common Ratio .

Now, on solving  [tex]\frac{S_{8} }{S_{4} }[/tex]  we get,

[tex]\frac{19680}{240} = \frac{\frac{a(r^{8-1)} }{r-1}}{\frac{a(r^{4-1)} }{r-1}}[/tex]  

[tex]82 = \frac{r^{8}-1 }{r^{4}-1 }[/tex]

[tex]82r^{4}-82 = r^{8}-1\\r^{8}-82r^{4}+81 = 0\\r^{8}-81r^{4}-r^{4}+81 = 0\\(r^{4}-81)( r^{4}-1) =0[/tex](r=1 is not possible so neglect [tex]( r^{4}-1) =0[/tex] )

So, r=3 Now Put this value in [tex]S_{4} = {\frac{a(r^{4-1)} }{r-1}}[/tex] We get a=6 .

D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is: ​

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AE/AD = EC/DB

  (x+3)/(x -1) = x/(x -3)

  x^2 -9 = x^2 -x . . . . . . . cross multiply

  x = 9 . . . . . . . . . . . add x+9-x^2 to both sides

A and B contributed 2700 and 1800 respectively to start a business. They agreed to share the profit in the ratio 7:5 respectively. If the profit made was 900, Calculate A's share as a percentage of total profit.​

Answers

Answer:

58.33%

Step-by-step explanation:

A's Contribution = 2700

B's Contribution= 1800

Ratio = 7:5

Profit = 900

Total Ratio = 7+5 = 12

First , Calculate both share of the profit.

A's Share= 7/12 ×900

525

B's share= 5/12 ×900

375

Now , express A's Share as a percentage

A's Share= 525/900 ×100

58.33%

a telephone pole is 24 feet tall

Answers

Answer:i honestly dont know just trying to get points

Step-by-step explanation:

Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.

Answers

Answer:16,284

Step-by-step explanation:

Solve for X
I’ll give BRAINLIEST to the correct answer

Answers

Answer:

[tex]x=9.91[/tex]

Step-by-step explanation:

[tex]11x-3=106[/tex]

      [tex]+3[/tex]       [tex]+3[/tex]

[tex]11x=109[/tex]

[tex]/11[/tex]       [tex]/11[/tex]

[tex]x=9.91[/tex]

fina a value of the polynomial 5x-4x ^ { 2 } +3 at
(i) x=0

Answers

5(0)-4(0)^2+3

Answer:
=3

Best of wishes and good luck!!

I will pay for the answer.

Answers

Answer:

D

8x^2-12x+5

thanx for youer sug

Answer:

[tex]8x^2-12x+5[/tex]

Step-by-step explanation:

This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.

h(x) = 4x+1                                           Plug in g(x) equation for x

h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex]                Distribute the 4 and simplify

h(g(x)) = [tex]8x^2-12x+5[/tex]  

Find the length of the diagonal for a square that is 6 cm. by 6 cm. Leave answer in simple radical form, if necessary.

please hurry I beg

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

let the diagonal be d

using the pythagoras theorem,

[tex]6^{2} + 6^{2} = d^{2}[/tex]

[tex]d=\sqrt{72}[/tex]

which in radical form is

[tex]6\sqrt{2}[/tex]

(05.02)

Solve the following system of equations: (1 point)

x − 2y = 14
x + 3y = 9

Group of answer choices

(1, 12)

(−1, −12)

(12, −1)

(12, 1)

Answers

(-1,-12) is the correct answer

Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.

What number should Carl replace y with?

Answers

I’m pretty sure it should be 2 since 6x3 is 18 and you add the 4 which makes it 22.

y=2

Matilda and Lorraine work in the mail room of a large company sorting letters. Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour.

Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours? How many letters will they have sorted after 6 hours?

A.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 100x + 120. Thus, they will have sorted 720 letters in 6 hours.
B.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
C.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 130x + 90. Thus, they will have sorted 870 letters in 6 hours.
D.
The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 30. Thus, they will have sorted 570 letters in 6 hours.

Answers

Answer:

B

Step-by-step explanation:

40x + 80

50x + 50

add them together

which of the following is a geometric sequence?

Answers

Answer:

D

Step-by-step explanation:

notice how everything goes up by 3? that's a sequence.

Financial software can do all of the following except ____.


A.
prepare your taxes


B.
apply for loans


C.
keep track of expenses


D.
monitor your savings

Answers

Answer: Apply for loans

Step-by-step explanation:

I just took the quiz off gradpoint :) trust me its right!!!!

A food sample contains 300 bacteria. The doubling time for bacteria left at room temperature is 20 minutes. How many minutes will it take to reach an unsafe level of 100000 bacteria?

Answers

Answer:

167.6 minutes

Step-by-step explanation:

The formula is given as:

P(t) = Po × (2)^t/k

Where

P(t) = Population after time t = 100000

Po = Initial population = 300

k = Doubling time = 20 minutes

t = Time = ?

Hence:

100000 = 300 × (2)^t/20

Divide both sides by 300

100000/300 = (300 × (2)^t/20)/300

333.3 = 2^t/20

Take the In of both sides

In 333.3 = In (2^t/20)

In 333.3 = t/20 In 2

Divide both sides by In 2

In 333.3/In 2 =( t/20 In 2)/In 2

8.3806775072 = t/20

Cross Multiply

t = 8.3806775072 × 20

t = 167.61355014 minutes

Approximately = 167.6 minutes

Therefore, the time it will take to reach an unsafe level of 100000 bacteria is 167.6 minutes

Point O is the center of the circle. What is the value of X?
Answer options: 9, 17, 8, 15

Answers

Answer:

j4k4

Step-by-step explanation:

k4k4j4h g o4utf75d4s6e Ok xkyai5eziKyeakyz6ozo6syzyl6

The domain of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is (1 point)

a
{−1, 1, 3}

b
{−1, −1, 1, 3}

c
{−4, −2, 2, 2}

d
{−4, −2, 2}

Answers

The domain is set of all x-values. From an ordered pair (x,y) the domain would be the value of x. That means y-value is clear out since it is not domain but range or co-domain.

Given the set of relations below:

R = {(3,-2), (1,2), (-1,-4), (-1,2)}

The domain would be {3,1,-1} which if we arrange from least to greatest, we'd get {-1,1,3}. Remember that we don't write the repetitive numbers or same two numbers in the set.

Answer

{-1,1,3}

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))

Answers

Answer:

f(g(4)) = 213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 8x + 5

g(x) = 7x - 2

Step 2: Find f(g(4))

Substitute in x [Function g(x)]:                                                                         g(4) = 7(4) - 2Multiply:                                                                                                             g(4) = 28 - 2Subtract:                                                                                                            g(4) = 26Substitute in function value [Function f(x)]:                                                      f(g(4)) = 8(26) + 5Multiply:                                                                                                              f(g(4)) = 208 + 5Add:                                                                                                                   f(g(4)) = 213

[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]

Here,

f(x) = 8x + 5 and g(x) = 7x - 2,

we have to find the f(g(4))

1st we have to solve the g(x)

g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26

Now substitute the functional value,

f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213

.°. The value of f(g(4)) is 213.

Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?

Answers

Answer:

11/20

Step-by-step explanation:

-6d - 4e + 4 + 4d + 6e - 6

Answers

Answer:

-2d + 2e - 2

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:

4d - 6d + 6e - 4e + 4 - 6

(4d - 6d) = -2d

(6e - 4e) = 2e

(4 - 6) = -2

-2d + 2e - 2 is your answer.

~

Rearrange the question:

-6d+4d-4e+6e+4-6

Solve the equation:
The answer

=-2d+2e-2

Someone help fast please

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The sequence of payment is geometric , that is

1, 3, 9, ...

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , then

[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and

7174453 ÷ 100 = $71,744.53 → A

2 consecutive postive nos are such that the sum of their squares is 113. Find the 2 numbers

Answers

Answer:

7,8

Step-by-step explanation:

n^2+(n+1)^2=113; this is the information we are provided in the question.

n^2+n^2+2n+1=113 ; just expanding the numbers

2n^2+2n-112=0 ; moving everything to the same side

n^2+n - 56= 0 ; divide everything by two

(n-7)(n+8)=0 : factor the polynomial

so answers for n are: 7 and -8. since the questions asks for positive numbers -8 cannot be correct.

so n=7

n+1 = 8

Solve 2 ≤ 2x + 4 < 10 for x.

–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3

Answers

Answer:

-1 ≤ x  < 3

Step-by-step explanation:

2 ≤ 2x + 4 < 10

Subtract 4 from all sides

2-4 ≤ 2x + 4-4 < 10-4

-2 ≤ 2x  < 6

Divide all sides by 2

-2/2 ≤ 2x/2  < 6/2

-1 ≤ x  < 3

Make 'r' the subject of this formula: 3r - 5 = p

Answers

Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

3r - 5 = p
3r = p + 5
r = p + 5/3
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