F'(x)=2x+17 f(1)=7 what is f(0)

Answers

Answer 1

9514 1404 393

Answer:

f(0) = -11

Step-by-step explanation:

The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.

[tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]

Related Questions

Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.

Which of the following actions could Sara take to prove her claim? Select two that apply.

A. Place the coordinate pairs in a table and show that they create equivalent ratios.

B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.

C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.

D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Answers

Answer:

B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

Step-by-step explanation:

Answer:

D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.

hope it helps have a nice dayyy

PLZ HELP IWILL GIVE BRAINLIESTTT

Answers

Answer:

Choice B

A = b x h

Step-by-step explanation:

In other words the area of a parallelogram is the base times height

Segments AB and CD coincide.
Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."
What error did Vinay make in his conclusion?
Choose 1 answer:
A. These segments are mapped onto each other, so they are congruent
B. The segments are not congruent, because no transformations were used
C. There is no error. This is a correct conclusion

Answers

Answer:

Step-by-step explanation:

The correct reason should be These segments are mapped onto each other, so they are congruent.

What is Congruency.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

We have the statements as

Segments AB and CD coincide

Now, Vinay concluded: "Segments AB and CD have no angles with the same measurement, so they are not congruent."

As per Vinay the lines would never able to coincide if they are not congruent.

So, the correct reason should be These segments are mapped onto each other, so they are congruent.

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Find the volume of the following cylinder in cubic inches

Answers

Answer:

Option (1)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here, V = Volume

r = Radius of the circular base

h = Height of the cylinder

From the picture attached,

r = 8 in.

h = 0.5 in.

By substituting these values in the formula,

V = π(8)²(0.5)

= 32π

= 32(3.14)

= 100.48 in³

Therefore, Option (1) will be the correct option.

The two circles shown above have radii of 8 in. and 2 in.

Answers

Answer:

1/4

Step-by-step explanation:

For the first circle 2 x 2in = 4 to find diameter

4 x 3.14 = 12.56

6in x 2 = 12

12 x 3.14 = 37.68

simplify

12.56/37.68

6.28/18.84

3.14/9.42

So the answer is 1/4 since 3.14 x 2 = 6.28

Also since the radius is 2 times longer

Answer:

Step-by-step explanation:

Circumference = 2 * pi * r

Circle A / Circle B = 2 * pi * 8 / 2 * pi * 2

You need to take note of the right side. The 2s cancel and so does pi

Circle A/ Circle B = 8/2

Circle A / Circle B = 4/1 = 4

Which is D

Keri pours 6 glasses of juice. Each glass holds 34 cup. How many cups of juice does Keri pour?

Answers

Answer:

3/4x6=4.5

Step-by-step explanation:

If Keri pours 6 glasses that each contain 3/4 cups than If she where to pour all of them than It would be 3/4*6 to represent the amount of cups to glasses and then the answer would be 4.5 C.

In all glasses combined their will be 4.5 cups of water!

Fractions are written as a ratio of two integers. If Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice

Ratio and proportions

Fractions are written as a ratio of two integers.

If Keri pours 6 glasses of juice and each glass contains 3/4 cup, hence the total cups of juice poured is expressed as:

Total cups of juice poured = 3/4 * 6

Total cups of juice poured = 4.5

Hence if Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice

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ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?

Answers

Answer:

I think the answer is mary

Answer:

John

Step-by-step explanation:

Mary: 87%-88% (0.875)

John: 88% (0.884)

c. 2/7 < 1

d. 64/23 > 1

HELP HELP 6th grade help

Answers

Answer:

A: numerical

B:catergorical

C:catergorical

Step-by-step explanation:

!ANSWER ASAP! Explain how to solve 2x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.

Answers

Answer: x = 3

Step-by-step explanation:

Subtract 1

2^x = 8

Take the log.

x·log(2) = log(8)

Divide by the coefficient of x.

x = log(8)/log(2) = log₂(8)

We know that 8 = 2³, so log₂(8) = 3.

x = 3

_____

If your equation is ...

2^(x+1) = 9

then

x + 1 = log(9)/log(2)

x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).

x ≈ 2.170

The value of x from the logarithmic equation is x = 3

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

2ˣ + 1 = 9 be equation (1)

On simplifying the equation , we get

Subtracting 1 on both sides of the equation , we get

2ˣ = 8

Now , taking logarithm on both sides of the equation , we get

log ( 2 )ˣ = log ( 8 )

From the laws of logarithm , we can simplify

x log ( 2 ) = log ( 8 )

And , on further simplification , we get

x log ( 2 ) = log ( 2 )³

So , x log ( 2 ) = 3 log ( 2 )

Divide by log ( 2 ) on both sides of the equation , we get

x = 3

Hence , the value of x = 3

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Trisha packs x boxes with 12 bottles in each box. The total number of bottles she packs is 216. Which equation and solution represent the total number of boxes Trisha packs?
help asap ty :)

Answers

Answer:

Number of boxes Trisha pack = 18 boxes

Step-by-step explanation:

Given:

Number of boxes Trisha pack = X

Number of bottles in each box = 12

Total number of bottle = 216

Find:

Number of boxes Trisha pack

Computation:

Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box

216 = X × 12

X = 216 / 12

X = 18

Number of boxes Trisha pack = 18 boxes

Answer:

okkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

This is 4 questions so you can get 50 points......

Answers

Answer:

...........................................................................................................................................................................................i really dont know

Step-by-step explanation:

Millilitre are used to measure the large amount of volume

Answers

Answer:

false

Step-by-step explanation:

HURRY!!!!!!!
Given the number of times I walk around the lake. Find the number of miles I walked around the lake. Note: it is 2.6 miles around the lake, and if I start walking a lap, I must finish the lap because I have to get back to my car. I had to walk ON THE PATH, and cannot go backwards, only forwards. I won't deviate off the path, so it will ALWAYS take 2.6 miles to go around!

Write the function rule, where x is the independent variable, and y is the dependent variable.

a
x=2.6y
b
y=2.6x
c
x=2.6+y
d
y=2.6+x

Answers

Answer:

A. x= 2.6y

Explanation

HELP ME PLEASE I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!:)

Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what was the total amount she paid? A) $10.56 B) $105.60 C) $126.56 D) $186.56

Answers

Answer:

Christa went shopping for back to school clothes.

She paid a total of 176 dollars before the tax was added on.

Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.

Solutions:

=> 176 dollars * 6% to get the amount

=> 6% / 100% = 0.06

=> 176 dollars * .06 = 10.56

Now, let’s add to get the answer

=> 176 dollars + 10.56 dollars = 186.56 dollars

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZ

Answer:

it should be d $186.56

Step-by-step explanation:

this should help you

Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer

A) y= x^2+2x-1
Minimum or maximum

B) y=-x^2-8x-1
Minimum or maximum

C) y=2x^2+8x

Answers

Answer:

A) minimum

B) maximum

C) minimum

Step-by-step explanation:

A positive x² coefficent means the parabola opens up and the vertex is the minimum

A negative x² coefficent means the parabola opens up and the vertex is the maximum

---------------------------------

A) minimum

B) maximum

C) minimum

Find the mean. Round to the nearest tenth. 19, 13, 14, 18, 9, 2, 14.

Mean:

Answers

Answer:

12.7

Step-by-step explanation:

19 + 13 + 14 + 18 + 9 + 2 + 14 = 89

89 / 7 = 12.7142857143

12.7

HELP!!!
WHO EVER HELPS ME FIRST GETS BRAINLEST!!!!How can decomposing a parallelogram and composing it as
another shape help in understanding the formula for the area of
a parallelogram?

Answers

You can compose, or create, a parallelogram (a four-sided shape with two sets of opposite, parallel sides) using two shapes, such as triangles or squares. You can decompose, or take apart, a parallelogram by dividing it from opposite corners, either vertically or horizontally.

Find the area. Of the triangle

Answers

Answer:

area = 42.8 in²

Step-by-step explanation:

Height = 7 1/8 in

area = 7 1/8 x 12 x 1/2 = 42.8 in²

of you would Write a decimal that represents the value of one $1 bill and 5 quarters how would you write that?

Answers

Well $1 bill and 5 quarters would be written as 1.25 in decimal form.

This is because 4 quarters equal $1.00. You add another quarter and you get $1.25. Hope this helps!!

An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses

Answers

Answer:

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a vehicle having all defective fuses:

5% of fuses are defective, which means that [tex]p = 0.05[/tex]

A vehicle has 4 fuses, which means that [tex]n = 4[/tex].

This probability is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]

If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?

For each vehicle, 0.00000625 probability of having all defective fuses. For 2:

[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Which graph represents y=3sqrt x+6-3?

Answers

Answer:

graph for y=3sqrt x+6-3

Step-by-step explanation:

hope this helps :]

Suppose you were trying to gain an understanding of how the very best painter in an automotive factory works. You know that there is only one painter who far outperforms all of the other painters in the factory, and you know that he uses techniques that no one else in the factory uses. What type of data would you want to collect in this situation

Answers

Answer:

Qualitative data

Step-by-step explanation:

Qualitative methods like an interviews and observations that are considered valuable as of their detail, descriptiveness, and uniqueness.

In this given situation, it is already known that the specific painter who outperforms in the factory.

And my motive is to gain an understanding with respect to the performing as a best painter for an automative industry so the same information would be observed and interviewed him

ILL GIVE BRAINLEST, the table shows how the amount of water in a bathtub changed while the faucet was on. at what average rate did the bathtub fill with water

Answers

The answer is 1.5 gallons per minute

Consider the series 7/9+7/27+7/81+1/243 Which expression defines Sn?

Answers

Answer:

It’s d

Step-by-step explanation:

The sum of the series is given by option D.

What is a Geometric Series?

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The series is

7/9+7/27+7/81+1/243 +.................

The common ratio is

(7/27) / (7/9) = 1/3

r < 1

The sum of the geometric series when r < 1 is given by

Sn = a ( 1-rⁿ)

Sn = [tex]\rm \lim_{n \to \infty}[/tex] (7/9) ( 1- (1/3)ⁿ)

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