Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit
you found in part A.

the equation in part A is x^3-4x^2+2 and when x=3 y=-7 so, (3,-7) is the point the equation for part B needs to pass through

Answers

Answer 1

The linear equation that has a slope of -7 and crosses the x-axis at (3, 0) is:

y =  -7x + 21

How to find the linear equation?

A general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

The slope must be equal to the limit found in part a, and you say that it is equal to -7, so the slope is -7. And for how is written the problem, I understand that it crosses the x-axis at x = 3.

Then we will have:

y = -7*x + b

Such that, when x = 3, y = 0, then:

0 = -7*3 + b

21 = b

Then the linear equation is y = -7x + 21

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Answer 2

Answer:

The line will pass through (3,-7) and has a slope of 3

Step-by-step explanation:

x=3 , f(x) = x^3 - 4x^2 + 2

f(3) = 3^3 -4(3)^2 + 2

f(3) = -7


Related Questions

I NEED HELP FAST!!!
What is the distance between 14,-15 and 10,-7

Answers

Answer:

8.94 units

Step-by-step explanation:

Distance formula The distance between two points with coordinates

(14,-15) and (10,-7) round to nearest 100th

Solve the problem and define the variable (50 points)

Answers

Answer:

i dont now but i thin it is 5

Step-by-step explanation:

helpppp!!!!!!!!!!! i’m so confused

Answers

= -1/4

-3/4 + 1/2 (change to like denominators) =

-3/4 + 2/4.
= -1/4

Identify the type of display that would be most appropriate for the description of the given data set. The number of pets in each student's household.

Answers

send a screen shot of the whole question so i can help becuase there is no data here to even help you with

Step-by-step explanation:

Answer:

A Bar graph is most appropriate for this example

PLEASE HELP!
Before you answer:
-No spam (Will be reported)
-No incorrect answers (Will be reported)
-Correct answers and explanations will be mark as BRAINLIEST​

Answers

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

[tex]\textrm{Slant height l} = \sqrt{r^2 + h^2}[/tex]  (1)

[tex]\textrm{Lateral surface area} = \pi r l[/tex]

[tex]\textrm {Base area} = \pi r^2[/tex]

[tex]\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l)[/tex] (2)

[tex]\textrm{Volume V = } (1/3) \pi r^2h[/tex] (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

[tex]\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04[/tex]

Figure(b)

r = 7, h =15

[tex]\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55[/tex]

[tex]\textrm{SA} = 7\pi(7 + 16.55) = 517.89[/tex]

Figure (c)

r = 5, l = 8

[tex]h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5[/tex]


The diameter of a basketball is approximately 9 inches. What is its volume? Round your answer to the nearest whole number.
A. 382 in to the 3 power.
B. 38 in to the 3 power.
C. 339 in to the 3 power
D. 3052 in to the 3 power

Answers

Step-by-step explanation:

Cost prevents one of the biggest barriers to restaurants offering healthier menu options. Fast-food chains like McDonald's have made their fortune by offering food with a long shelf life, which tends to be less healthy. As pointed out in The New Yorker, even if every restaurant in America decided to drop the fries and embrace kale and watermelon radish salads, the U.S. lacks the agricultural infrastructure to support that kind of dietary shift. Big farm crops like soybeans (for frying oil), corn (for high fructose corn syrup), and grain (livestock feed) receive millions of tax breaks and other government subsidies, making it hard for smaller farms to compete.

John is traveling at 48 miles per hour and his distance can be written as d = 48t.


How far will John travel if he travels for 5 hours?

Answers

240 miles
d=48(5) which equals 240

If f(x)= 2^8-x+3, what is the value of f(5), to the nearest tenth (if necessary)

Answers

Answer:

Step-by-step explanation:

f(5) = 2^8 - 5 +3

f(5) = 256-5+3

f(5) = 254

Help!!! Find the slope and y-intercept

Answers

Answer:

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

Step-by-step explanation:

The diameter of a circle is 8 inches. What is the circle's circumference? d=8 in Use 3.14 for ​. inches

Answers

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

The diameter of a circle is 8 in. What is its circumference?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Formula for Circumference:-

[tex]\bigstar\boxed{C=\pi d}}[/tex]

Where

C = Circumferenceπ = pi (we're asked to use 3.14 for pi, so we'll do that)d = diameter (we're given that it's equal to 8 in)

Substitute the values:-

[tex]\sf{C=(3.14)(8)}[/tex]

Multiply:-

[tex]\boxed{\sf{C=25.12\:inches}}[/tex]

Good luck.

 

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

Answer:

25.12 inches

Step-by-step explanation:

Given that,

→ Diameter = 8 in

→ Radius (r) = 8/2 = 4 in

→ π = 3.14

Formula we use,

→ 2πr

Then the circle's circumference is,

→ 2πr

→ 2 × 3.14 × 4

→ 2 × 12.56

→ [ 25.12 in ]

Thus, circle's circumference is 25.12 in.

Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points

Answers

Answer:

y=4/-2x+4

Step-by-step explanation:

Formula (y=mx+b)

m= 4/-2 (rise over run)

b= 4 (y-axis intercept point)

y=mx+b

y=4/-2x+4

please help, i need to find the equation please

Answers

Answer: [tex]y=\frac{7}{2} x+10[/tex]

Step-by-step explanation:

y=mx+b

b=the y intercept

m=slope

In this graph, the y intercept is 10 so we can substitute b for that.

You find the slope with 2 points on the line.

(2,17) (6,31)

[tex]\frac{31-17}{6-2}[/tex]=[tex]\frac{14}{4}[/tex] which is simplified to [tex]\frac{7}{2}[/tex]

You can substitute m for [tex]\frac{7}{2}[/tex] now and your equation is [tex]y=\frac{7}{2} x+10[/tex]

Write 0.423 as a fraction.

Answers

Answer:

= [tex]\frac{0.423}{1}[/tex]

=[tex]\frac{423}{1000}[/tex]

so the answer is 423/1000

Step-by-step explanation:

hope it helps

Mike is shopping for new clothes.

Answers

Answer:

Step-by-step explanation:

I believe it’s choice A
In order to find the price after applying a discount, you need to take 20% of the original price and subtract that product from the original price, which choice A represents.

Hope this helps

Did I do it right? Help me​

Answers

We are given the statement that, If P is any odd number, then P + 2 is a prime number and we need to prove it either false or true, so as here it is written "any", so it means that the statement should be true for every and each odd number

Checking at P = 1

⇒ P + 2 = 3 ↔ True

Checking at P = 3

⇒ P  + 2 = 5 ↔ True

Checking at P = 5

⇒  P + 2 = 7 ↔ True

Checking at P = 7

⇒ P + 2 = 9 ↔ False

The given statement becomes false for P = 7, so the given statement is false

a) What is the definition of the square root of a number k?
b) what is the definition of the cube root of a number k?
c) what is the definition of the n^th root of a number k?
d) What are the limitations of working with roots and real numbers?

Answers

A is the right one that is what I chose

#a

Square root of k is a factor of the number k that when it is multiplied with itself yields the result as k

#b

Cube root of k is a factor of the number k that when it is multiplied thrice with itself yields the result as k

#c

n th root of k is a factor of the number k that when it is multiplied n times with itself yields the result as k

#d

For even value of root it should be positive to be realFor odd value it can be both positive and negative

i need help with this question​

Answers

Answer:

express 33362imstandard form

Which graph summarizes a set of data using the minimum value, first quartile, median, third quartile, and maximum value? histogram dot plot box plot

Answers

Answer:

box plot

Step-by-step explanation:

I need help round pleae

Answers

Answer:

Mean=49 pounds

Median=11pounds

Step-by-step explanation:

If all the cats got weighted (5, 11,11,12,10) for each cat you need to add, multiply and divide to get all the answers (P.S. you don't need to round for your answers!)

For solving the Mean you need to add up all the numbers and then divide by how many numbers there are (5+11+11+12+10÷ 5=49)

For solving the Median you need to put the numbers in smallest to biggest order to solve for this (5,10,11,11,12) and then kept crossing them out (left to right) until you get the two middle numbers (11,11) then add them both right and then divide 22 by 2 then you have your answer!

You're going to rock this:)

Kenz

Suppose a universal set consists of natural numbers that
are at most 16. Two subsets are created from the
universal set; Set A contains the multiples of 3 and
Set B contains the odd numbers. Correctly place
each element of the universal set in the Venn diagram
to the right.

Answers

To set up a venn diagram, you need the following details below

Set A = ( 3, 6, 9, 12, 15 )Set B = ( 1, 3, 5, 7, 9. 11, 13, 15 )A∩B = ( 3, 9 )U = (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16)

Meaning of a set and a venn diagram

A set is the orderly collection of elements, material, numbers and items that satisfy a condition.

A set could be finite or infinite.

A venn diagram is a diagramatic representation of a set using circles. it mostly represents a finite set.

In conclusion, you can use the details above to draw your venn diagram.

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Beniah sells hats and umbrellas. He charges 57.75 per hat and $9.50 per umbrella. Last week he sold 90 items for a total
of $757

Answers

Answer : $757

explanation: 57.75 + 9.50 = 67.25
67.25/757

Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points

Answers

Answer: Graph C

Step-by-step explanation:

y-2 < -2x+2

y<-2x+4

slope is negative so it goes down. y int is 4.

insert (0, 0) into equation and 0 < 4 is true so shade where the origin is.

Before his shopping spree,hall owned 31 phones. He bought 70 more phones. What is the ratio of phones purchase to the resulting total number of phones?

Answers

Answer:

70:101     70 is 69% of 101

Step-by-step explanation:

Since he had 30 phones and bought 70, he totals with 101 phones. Since 70/101 is 69, 70 is 69% of 101

Ok well good luck! Have a good day!

this may be a bad question but is negative 7 still a prime number?

Answers

Answer:

nope

Step-by-step explanation:

The amount of money on account it makes M for working H hours can be represented by the equation m = 29.4H what is the constant of proportionality of the equation

Answers

29.4H is the equation

lengths
Find the value of x in the triangle shown below.
Choose 1 answer:
x = 6
® X = 13
X = V 65

Answers

Answer:

C

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 4² = 9²

x² + 16 = 81 ( subtract 16 from both sides )

x² = 65 ( take square root of both sides )

x = [tex]\sqrt{65}[/tex]

Independent and Dependent events

Answers

There are 3 cards and only 1 card is off.

If you pick the odd card first and do not replace it there is no chance of picking a second odd card.

The probability would be 0

8(r+9) What is the answer?

Answers

Answer:

8r+72

Step-by-step explanation:

Answer:

8r + 72

Step-by-step explanation:

you multiply 8 by each number(or letter) in the parentheses, so 8 * r is basically 8r, and 8*9 is 72

A circle has a radius of 12 ft. What is the area of the sector formed by a central angle measuring (3pi)/4 radians?
Use 3.14 for pi
Can you also show me how to solve it

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{1}{2}\theta r^2~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=12\\ \theta =\frac{3\pi }{4} \end{cases}\implies \begin{array}{llll} A=\cfrac{1}{2}\left( \cfrac{3\pi }{4} \right)(12)^2\implies A=\cfrac{432\pi }{8} \\\\\\ A=54\pi \implies \stackrel{using~\pi =3.14}{A=169.56} \end{array}[/tex]

Calculate the line of best fit using m= y2-y1/x2-x1 using your brain not a calculator

Answers

Take two points

(1,940)(2,950)

Slope

m=950-940/2-1=10

Equation in point slope form

y-y1=m(x-x1)y-940=10(x-1)y-940=10x-10y=10x-10+940y=10x+930

Answer:

[tex]y=-\dfrac{300}{7}x+1000[/tex]

Step-by-step explanation:

Method 1  (see attachment 1 with red line)

Plots the points on a graph and draw a line of best fit, remembering to ensure the same number of points are above and below the line.

Use the two end-points of the line of best fit to find the slope:

[tex]\textsf{let}\:(x_1,y_1)=(0,1000)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,700)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{700-1000}{7-0}=-\dfrac{300}{7}[/tex]

Input the found slope and point (0, 1000) into point-slope form of a linear equation to determine the equation of the line of best fit:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-1000=-\dfrac{300}{7}(x-0)[/tex]

[tex]\implies y=-\dfrac{300}{7}x+1000[/tex]

Method 2  (see attachment 2 with blue line)

If you aren't able to plot the points, you should be able to see that the general trend is that as x increases, y decreases.  Therefore, take the first and last points in the table and use these to find the slope:

[tex]\textsf{let}\:(x_1,y_1)=(1,940)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,710)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{710-940}{7-1}=-\dfrac{115}{3}[/tex]

Input the found slope and point (1, 940) into point-slope form of a linear equation to determine the equation of the line of best fit:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-940=-\dfrac{115}{3}(x-1)[/tex]

[tex]\implies y=-\dfrac{115}{3}x+\dfrac{2935}{3}[/tex]

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