The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?

Answers

Answer 1

Answer:

SLOPE = -5

Step-by-step explanation:

Because that's what x is.


Related Questions

A carnival charges a $5 admission fee plus $1 per ride. What does it cost to ride 6 rides, including the admission fee?

Answers

Answer:

the answer is 11 dollars

Step-by-step explanation:

Answer:

11 dollars

Step-by-step explanation:

Given f(x) = 2x^2 + 3x and g(x) = 5x^2 - 2x - 6

What is (f+g)(x)?

A. -3x^2 + 5x + 6
B. 10x^2 + x + 6
C. 7x^2 + x - 6
D. 3x^2 - 5x - 6

Answers

Answer:

C. 7x^2 + x - 6

Step-by-step explanation:

f(x) = 2x^2 + 3x and g(x) = 5x^2 - 2x - 6

(f+g)(x) = 2x^2 + 3x + 5x^2 - 2x - 6

(f+g)(x) = 7x^2 + x - 6

-2(bx-5) = 16 the value of x in terms of b is the value of x when b is 3 is ????

Answers

Answer:

x = -3/bx = -1   when b=3

Step-by-step explanation:

Eliminating parentheses, you get ...

  -2bx +10 = 16

Subtract 10 and divide by -2b:

  x = 6/(-2b)

  x = -3/b

__

When b=3, you have ...

  x = -3/3

  x = -1

How do you do this problem? Simple and concise explanation please! TOP ANSWERERS!!!!

Answers

Answer:

Just B and C

Step-by-step explanation:

Reduce this to the lowest amount possible.

log(3abc/6a^2b) = 2

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

log(c/2a)  = 2

c/2a = 10^2

c = 2a * 100

c = 200a

This one is also correct.

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

The rest are just incorrect.

There is only 1 answer that works and that is B.

C is close, but it is not correct.

D is backwards. B is the right way and D is the upside down of B.

E and F are just not the way to handle logs. Subtracting logs means division, not multiplication and not 1 log.

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

A man who is 6 feet tall casts a shadow thaty is 11 feet long at the same time a tree casts a shadow that is 33 feet long what is the height of the tree

Answers

Answer:

The height of the tree is 18 feet tall

Step-by-step explanation:

Set up a proportion:

6 feet over 11 feet long equals x feet over 33 feet long

6/11 = x/33

198 = 11x

x = 18

The height of the tree is 18 feet tall

Identify the range of the function shown in the graph.

Answers

Answer:

C

Step-by-step explanation:

The range is the set of ALLOWED y-values of the function (graph). Also, the range is the y-values for which the function is defined.

Looking at the graph, we see that the graph is defined between y = 1 and y = 7. So the range is  1 ≤ y ≤ 7

the correct answer is C

a 34 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.137. find the substance's half-life, in days. round to the nearest tenths.

Answers

Answer:

5.1 days

Step-by-step explanation:

Given in the question,

initial amount of substance = 34 grams

k-value = 0.137

To find the half life of this substance we will use following formula

[tex]N(0)/2 = N(0)e^{-kt}[/tex]

here N(0) is initial amount of substance

        t is time in days

Plug values in the formula

[tex]34 /2 = 34e^{-0.137t}[/tex]

1/2 = e^{-0.137t}

Take logarithm on both sides

ln(1/2) = ln( e^{-0.137t})

ln(1/2) = -0.137t

t = ln(1/2) / -0.137

t = 5.059

t ≈ 5.1 days (nearest to tenths)

A survey found that​ women's heights are normally distributed with mean 63.9 in. and standard deviation 3.6 in. The survey also found that​ men's heights are normally distributed with mean 69.7 in. and standard deviation 3.6 in. Consider an executive jet that seats six with a doorway height of 55.9 in. Complete parts​ (a) through​ (c) below. a. What percentage of adult men can fit through the door without​ bending? The percentage of men who can fit without bending is 0.02​%. ​(Round to two decimal places as​ needed.) b. Does the door design with a height of 55.9 in. appear to be​ adequate? Why​ didn't the engineers design a larger​ door?

Answers

Using the normal distribution, it is found that:

a) The percentage of men who can fit without bending is 0.02​%.

b) A very small percentage of people can fit through the door, thus the dimensions are not adequate. Possible, the engineers did not design a large door because of engineering constraints.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

Item a:

Men have mean of 69.7 in, thus [tex]\mu = 69.7[/tex]Standard deviation of 3.6 in, thus [tex]\sigma = 3.6[/tex]

The proportion is the p-value of Z when X = 55.9, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.9 - 69.7}{3.6}[/tex]

[tex]Z = -3.83[/tex]

[tex]Z = -3.8[/tex] has a p-value of 0.0002.

0.0002 x 100% = 0.02%

The percentage of men who can fit without bending is 0.02​%.

Item b:

A very small percentage of people can fit through the door, thus the dimensions are not adequate. Possible, the engineers did not design a large door because of engineering constraints.

A similar problem is given at https://brainly.com/question/12476124

18-3n+2=n+20-4n which is the solution 0 (0) or all reals

Answers

Answer:

that is a true statment.

20 - 3n = -3n + 20

Step-by-step explanation:

add the numbers, collect the like terms.

A number from 8 to 15 is drawn at random. What is the probability that the number is an even number?

Answers

Answer:

The probability that the answer is an even number is 50%.

Step-by-step explanation:

There are 8 terms: 8, 9, 10, 11, 12, 13, 14, 15. Even numbers: 8, 10, 12, 14. So, 4 out of the 8 terms are even, which is equivalent to 50%.

The probability that the number is an even number is 1/2.

What is the probability?

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

A number from 8 to 15 is drawn at random.

The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8

Total even number = 8, 10, 12, 14 = 4

The probability that the number is an even number is;

[tex]\rm Probability =\dfrac{Total \ even \ number}{Total \ number}\\\\Probability =\dfrac{4}{8}\\\\Probability =\dfrac{1}{2}[/tex]

Hence, the probability that the number is an even number is 1/2.

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The complement of an angle is one-fourth the measure of the supplement of the angle. What is the measure of the angle to the nearest whole degree?

Answers

Answer:

the answer is 60

Step-by-step explanation:

Solve for y.

xy + p = 5

Answers

The value of y for the equation [tex]xy + p = 5[/tex].

What is equation?

An equation is a statement of equality between two mathematical expressions containing one or more variables.

According to the given question.

We have a equation

[tex]xy + p = 5[/tex]

Solve the above the equation for y

[tex]xy +p - p = 5 -p[/tex]           ( subtracting p both the sides)

[tex]\implies xy = 5-p[/tex]

[tex]\implies \frac{xy}{x} = \frac{5-p}{x}[/tex]                         (dividing both the sides by x)

[tex]\implies y = \frac{5-p}{x}[/tex]

Therefore, the value of y for the equation [tex]xy + p = 5[/tex].

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There is a 70% chance that your car will get stuck in the snow during the next big snow fall. Given that you are already stuck in the snow with your car, the chance that you will require a tow truck to pull you out is 90%. What is the chance that you will get stuck in the snow with your car AND require a tow truck to pull you out?

Hint: P(A|B)= P(A∩B) / P(B)

66%

63%

78%

29%


Answers

Answer:

63%

Step-by-step explanation:

This is a problem of conditional probability.

The two events that are given are:

Car stuck in the snow - Let it be event S. P(S) = 70% = 0.70Require a tow truck - Let it be event T.

We have to find the probability of being stuck in the snow AND requiring a tow truck which can be given as P(S and T)

We are also given the conditional probability, which is P(T | S) = 90% = 0.90

Using the given formula for our case we can modify the formula as:

[tex]P(T|S)=\frac{P(S \cap T)}{P(S)}[/tex]

[tex]0.90=\frac{P(S \cap T)}{0.70}\\\\ P(S \cap T)=0.90 \times 0.70\\\\ P(S \cap T)=0.63[/tex]

Therefore, there is 63% (0.63) chance that you will get stuck in the snow with your car AND require a tow truck to pull you out

The probability of getting stuck in the snow and requiring a tow truck is found by multiplying the individual probabilities, resulting in a 63% chance.

The question asks for the probability that you will get stuck in the snow with your car AND require a tow truck to pull you out. To calculate this combined probability (P(A AND B)), we use the rule of multiplication for dependent events, which states P(A AND B) =[tex]P(B|A) imes P(A).[/tex] Here, P(A) is the probability of getting stuck in the snow, and P(B|A) is the probability of requiring a tow truck given that you are stuck.

In numbers, this becomes P(A AND B) = [tex]0.90 imes 0.70 = 0.63 or 63%[/tex]. Therefore, the chance that you will get stuck in the snow and require a tow truck to pull you out is 63%.

Which polynomial function has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2?

f(x) = 2(x + 7)(x + 5)(x – 2)

f(x) = 2(x – 7)(x – 5)(x + 2)

f(x) = (x + 7)(x + 5)(x + 5)(x – 2)

f(x) = (x – 7)(x – 5)(x – 5)(x + 2)

Answers

ANSWER

[tex]f(x) = (x -7)(x - 5) {(x - 5)}(x + 2)[/tex]

EXPLANATION

If the polynomial has a root -2, with multiplicity 1, then (x+2) is a factor.

If the polynomial has root, 7 with multiplicity 1, then (x-7) is a factor.

If the polynomial has root 5, with multiplicity 2, then (x-5)² is a factor of the polynomial.

The fully factored form of the polynomial is

[tex]f(x) =a (x + 2)(x - 7) {(x - 5)}^{2} [/tex]

It was given that the polynomial has a leading coefficient of 1.

Hence a=1.

This implies that,

[tex]f(x) =(x + 2)(x - 7) {(x - 5)}^{2}[/tex]

Or

[tex]f(x) = (x -7)(x - 5) {(x - 5)}(x + 2)[/tex]

Answer:

f(x) = (x -7)(x - 5) {(x - 5)}(x + 2) the answer is D

Step-by-step explanation:

Which graph has the most appropriate scales and units for this situation ?

Answers

Answer:

your answer is A HOPE THIS HELPS!!!

Step-by-step explanation:

Answer:

The graph B is the most appropriated

Step-by-step explanation:

Due to we need to know the charging of the company as a function of miles, it is practical to enter into the graph with the miles into the horizontal axis and obtain the charge over the vertical axis. In fact, the common usage, it is by entering the unknown quantity (independent variable) into the x-axis (horizontal axis) and looking function calculated value into the y-axis (vertical axis).  

Taking the previous into account, we chose the graph from option B.

Which of the following statements is true according to the measurements in the diagram?

Answers

The answer to the question would be B.

PLsss help 15 points!

In the figure below, △ABC ~ △PQR. If the Area of △ABC is 40 cm2, what is the area of △PQR? show your work.

Answers

Answer:

90 square cm.

Step-by-step explanation:

For similar figures, the length of corresponding sides are proportional.

So we can write 4k = 6 where k is the proportionality constant.

Note: In terms of area, the scale factor would be k^2 and in terms of volume, it would be k^3y

Solving 4k = 6, we see that k = 6/4 or 3/2

We need area, so we multiply area of ABC by k^2 to get area of PQR.

[tex]40(\frac{3}{2})^2\\=40(\frac{9}{4})\\=90[/tex]

Area of PQR = 90 cm^2

Answer:

The area of △PQR is [tex]90\ cm^{2}[/tex]

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

Let

z-----> the scale factor

x---> the corresponding side triangle PQR

y---> the corresponding side triangle ABC

[tex]z=\frac{x}{y}[/tex]

substitute the values

[tex]z=\frac{6}{4}=1.5[/tex]

step 2

Find the area of triangle PQR

we know that

If two figures are similar, then the ratio of its areas  is equal to the scale factor squared

so

Let

z-----> the scale factor

x---> the area of triangle PQR

y---> the area of triangle ABC

[tex]z^{2} =\frac{x}{y}[/tex]

we have

[tex]z=1.5[/tex]

[tex]y=40\ cm^{2}[/tex]

substitute the values

[tex]1.5^{2} =\frac{x}{40}[/tex]

[tex]x=40(1.5^{2})=90\ cm^{2}[/tex]

1. Collin noticed that various combinations of nickels and dimes could add up to $0.65.

Let x equal the number of nickels
Let y equal the number of dimes

What is the domain where y is a function of x and the total value is $0.65?

A. (0,1,2,3,4,5,6,7,8,9,10,11,12,13)

B. (1,2,3,4,5,6,7,8,9,10,11,12,13)

C. (0,1,3,5,7,9,11,13)

D. (1,3,5,7,9,11,13)




Answers

Answer:

Step-by-step explanation:

dimes only cannot give total ending in 5 cents

so theres at least 1 nickel

n by the same reason, no.of nickels must be odd no.

most nickels is 0.65/0.05=13

combining the above, ans is D. (1,3,5,7,9,11,13)

Answer:

The Answer Is D (1,3,5,7,9,11,13)

Step-by-step explanation:

Help a need ma grade up​

Answers

To answer this we must know BIDMAS

Brackets) Let's do 8-6 as (2*3 is 6 as we substitute X with 3) and that gives us 2

Indices) Let's do 2 square which gives 4

Addition) Then finally add 4 to 4 giving us 8

The answer is 8

I REALLY NEED HELP!

What is the future value of the 10% savings from earnings of $1,470 if it earns 3.5% annual interest,


compounded monthly for 25 years?


Use the compound interest formula to estimate the future value.


A = P (1+r/n)^nt


A.

$295.72


B.

$352.19


C.

$419.43


D.

$523.89


What is the future value of the 10% savings from earnings of $36,000 if it earns 6.25% annual interest, compounded quarterly for 15 years?


Use the compound interest formula to estimate the future value.


A = P (1+r/n)^nt


A.

$912.65


B.

$9,126.53


C.

$1,825.31


D.

$18,253.31


Justin contributes $208 each month to a savings account that earns 5% annual interest. Calculate his annuity savings over the course of 25 years.


Use

S = P ((1+r^n)-1/r)


A.

$9.927.23


B.

$65,520.00


C.

$62,660.00


D.

$123,866.02

Answers

Answer:

B

Step-by-step explanation:

The compound interest formula is [tex]A = P (1+r/n)^nt[/tex] where:

P is the starting amount called the principler is the rat written as a decimaln is the number of times compounded in a yeart is the number of years

Substitute a value into each variable to solve.

P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.The rate is 3.5% or r = 0.035.n = 12 because it is compounded monthly meaning 12 times a year.t = 25 since it will earn for 25 years.

[tex]A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19[/tex]

Repeat this process for each formula.

Answer:

B. $352.12

B. $9,126.53

D. $123,866.02

Step-by-step explanation:

Hope this helps! Have an awesome day/night!

A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item they normally sells for $365

Answers

Answer:

$255.50

Step-by-step explanation:

✯Hello✯

↪  Alright so the item is originally 365 dollars

↪  you have to work out 30% of this which is 109.50

↪  then do 365- 109.50

↪  thats $255.50

❤Gianna❤

Estimate the circumference of the circle with the given radius or diameter. Use 3.14 for ?. Round to the nearest unit. (Half. 24in written inside the circle) 1. 27in. 2. 79in. 3. 1,809in. 4. 152in. Mathematics, Connexus. Rectangular prisms and volume Part 1, Math 6B, Unit 3: Geometry and Measurement.

Answers

Answer:

The perimeter of a circle can be found by using the followinfg expression

P = 2*π*r

where

π = 3.14

r  = radius of the circle = half the diameter of the circle

In this case, if we are given the radius, we use

P = 2*π*r

If we are given the diameter, we use

P = 2*π*(D/2) = π*D

1) 27in

radius = 27in

P = 2*(3.14)*(27 in) = 169.56 in

diameter = 27 in

P = (3.14)*(27 in) = 84.78 in

2) 79 in

radius = 79 in

P = 2*(3.14)*(79 in) = 496.12 in

diameter = 79 in

P = (3.14)*(79 in) = 248.06 in

3) 1809 in

radius = 1809 in

P = 2*(3.14)*(1809 in) = 11360.52 in

diameter = 1809 in

P = (3.14)*(1809 in) = 5680.26 in

4) 152 in

radius = 152 in

P = 2*(3.14)*(152 in) = 954.56 in

diameter = 152 in

P = (3.14)*(152 in) = 477.28 in

Answer:

no

Step-by-step explanation:

Which expression is equivalent to the fraction below?


5/8


A. 8 5

B. 8 • 8

C. 8 - 5

D. 8 + 5

E. 5 8

F. 5 • 5

Answers

5/8=expression is equivalent to

5 8

my mom tell me this its E oksy

the graph shows that lisa's earnings are proportional to the number of hours that she works.This relationship can be represented by an equation in the form y = kx. what is the value of k in the equation?

Answers

c. 25 because she gets $25 per hour

According to the Substitution Property of Equality: If y = -5 and 7x + y = 11, then _______ . Question 9 options: 7(-5) + y = 11 7x - 5 = 11 7x + 5 = 11 -5 + y = 11

Answers

Answer:

7x - 5 = 11

Step-by-step explanation:

To solve for x, substitute y = -5 into the equation 7x + y = 11.

This becomes 7x + (-5) = 11 or 7x - 5 = 11.

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 371 minutes and standard deviation 65 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 528 minutes and standard deviation 108 minutes. A researcher records the minutes of activity for an SRS of 6 mildly obese people and an SRS of 6 lean people.Use z-scores rounded to two decimal places to answer the following:What is the probability (Image for It appears that people who are mildly obese are less active than leaner people. One study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? What is the probability (Image for It appears that people who are mildly obese are less active than leaner people. One study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

Answers

Answer:

0.0322; 0.9929

Step-by-step explanation:

Since the data is normally distributed, we use z scores for these probabilities.

The formula for a z score of a sample mean is

[tex]z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}[/tex]

For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.

Using 420 for X,

z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85

Using a z table, we see that the area under the curve to the left of this is 0.9678.  However, we want the area to the right, so we subtract from 1:

1-0.9678 = 0.0322

For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.

Using 420 for X, we have

z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45

Using a z table, we see that the area under the curve to the left of this is 0.0071.  We want the area under the curve to the right, so we subtract from 1:

1-0.0071 = 0.9929

Final answer:

The probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes is about 3.2%. For the 6 lean people, this probability is approximately 0.7%.

Explanation:

For this type of problems, we use the concept of z-scores in statistics. The z-score is a measure of how many standard deviations a data point is from the mean. In this case, we will first calculate the standard error by dividing the standard deviation by the square root of sample size and then find the z-score by dividing the value of interest (420 minutes) minus mean by the standard error.

For mildly obese people, mean = 371 min, standard deviation = 65 min, sample size = 6. So, standard error = 65/sqrt(6) ≈26.51. The z-score for 420 min = (420-371)/ 26.51 ≈1.85. This indicates 420 minutes is 1.85 standard deviations above the mean. The probability that z-score exceeds 1.85 (assuming a one-tailed test since we are looking for the mean to be more than 420 minutes) is 0.032 (approximately). Hence, the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes is about 0.032 or 3.2%.

For lean people, mean = 528 min, standard deviation = 108 min, sample size = 6. Using the same approach, standard error = 44.11. The z-score for 420 min = (420-528)/44.11 ≈-2.45. This indicates 420 minutes is 2.45 standard deviations below the mean. The probability that z-score is less than -2.45 (assuming a one-tailed test for under 420 minutes) will be more than 99%. The probability that z-score exceeds -2.45 (420 min or more time) is about 1 - 0.993 = 0.007. Hence, the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes is about 0.007 or 0.7%.

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 4x + 1, [0, 2] Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem. Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on double-struck R. No, f is not continuous on [0, 2]. No, f is continuous on [0, 2] but not differentiable on (0, 2). There is not enough information to verify if this function satifies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisify the hypotheses, enter DNE). c =

Answers

[tex]f(x)=3x^2-4x+1[/tex] is a polynomial and thus continuous everywhere and differentiable on any open interval. (second option)

The MVT then guarantees the existence of [tex]c\in(0,2)[/tex] such that

[tex]f'(c)=\dfrac{f(2)-f(0)}{2-0}=\dfrac{5-1}2=2[/tex]

We have

[tex]f'(x)=6x-4[/tex]

so

[tex]6c-4=2\implies6c=6\implies c=1[/tex]

The true statement is: (b) Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable

Mean value theorem states that:

If [tex]\mathbf{f(x)\ is\ continuous}[/tex] [a,b] and

[tex]\mathbf{f(x)\ is\ differentiable}[/tex] on (a,b),

Then there is a point c in (a,b), such that: [tex]\mathbf{f'(c) = \frac{f(b) - f(a)}{b - a}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - 4x + 1}[/tex]

And the interval is: [tex]\mathbf{[0,2]}[/tex]

We have

[tex]\mathbf{f'(c) = \frac{f(b) - f(a)}{b - a}}[/tex]

This becomes

[tex]\mathbf{f'(c) = \frac{f(2) - f(0)}{2 - 0}}[/tex]

[tex]\mathbf{f'(c) = \frac{f(2) - f(0)}{2}}[/tex]

Calculate f(2) and f(0)

[tex]\mathbf{f(2) = 3\times 2^2 - 4\times 2 + 1 = 5}[/tex]

[tex]\mathbf{f(0) = 3\times 0^2 - 4\times 0 + 1 = 1}[/tex]

So, we have:

[tex]\mathbf{f'(c) = \frac{5-1}{2}}[/tex]

[tex]\mathbf{f'(c) = \frac{4}{2}}[/tex]

[tex]\mathbf{f'(c) = 2}[/tex]

Recall that:

[tex]\mathbf{f(x) = 3x^2 - 4x + 1}[/tex]

Differentiate

[tex]\mathbf{f'(x)= 6x - 4}[/tex]

Substitute c for x

[tex]\mathbf{f'(c)= 6c - 4}[/tex]

Substitute 2 for f'(c)

[tex]\mathbf{ 6c - 4 = 2}[/tex]

Collect like terms

[tex]\mathbf{ 6c = 4 + 2}[/tex]

[tex]\mathbf{ 6c = 6}[/tex]

Divide both sides by 6

[tex]\mathbf{c = 1}[/tex]

The interval is given as: [0,2]

The value of c is true for interval (0,2).

Hence, the true statement is:

(b) Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable

Read more about mean value theorems at:

https://brainly.com/question/3957181

While flying an aircraft, a pilot looks out to the horizon. The altitude of the plane is 9.4 km. Earth has an average radius of about 6378 km. How far away is the horizon to the nearest tenth of a kilometer?

Answers

Answer:

6387 km

Step-by-step explanation:

6378 km -9.4 km =

6386.6 km

Round to the nearest tenth: 63787 km

Hope I helped, sorry if not tho

Kendra's credit card is stolen. She calls the credit card company to report it and the company says there are three large purchases on her card. She tells the company she did not make those purchases. Why does the credit card company tell her she is only responsible for $50.00 of those charges?

A. Federal law regulates a consumer's liability for fraudulent charges.
B. Credit card companies do not penalize consumers in cases of fraud.
C. Credit card companies know when charges are not made by the consumer.
D. Federal law states that credit card companies must collect that amount from consumers.

Answers

Answer:

A

Step-by-step explanation:

Federal law regulates a consumer's liability for fraudulent charges. Is what I got.

Answer:

A. Federal law regulates a consumer's liability for fraudulent charges.

Step-by-step explanation:

Under FCBA rules if a client reports about the lost cred card befor eit is used by someone else then the owner of the card is not responsible for any charges.  As per the rule Card holders liability for unauthorised use of their credit card ends at $50. FCBA is a federal law that was framed in 1974 and allows us to dispute charges and temporarily withhold payment without affecting credit score. It is because of FCBA that she would not be charges more than fifty dollars.

Evaluate 3^2+(6-2)•4-6/3

Answers

Answer:

23

Step-by-step explanation:

3^2+(6-2)•4-6/3

Order of operations:

= 9 + (4)•4 - 6/3

= 9 + 16 - 2

= 25 -2

= 23

32+(6−2)(4)− 6/3

your answer is =23

32+(6−2)(4)− 6/3

=9+(6−2)(4)− 6/3

=9+(4)(4)− 6/3

=9+16− 6/3

=25− 6/3

=25−2

=23

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