For the function f(x) = -12x^2 + 6x - 8 find the equation of the tangent line at x= -1

Answers

Answer 1

Let, f(x) = y = -12x^2+6x-8

Substitute x = -1 in f(x) we get y = -26

y = -12x^2+6x-8

Differentiate ‘y’ w.r.t ‘x’ we get

dy/dx = -24x+6

By putting value of ‘x’ we get

dy/dx = 30

Slope(m)=dy/dx = 30

Equation of tangent => (y - y1)=m(x - x1)

Here, x1= -1 and y1 = -26 and m = 30

So, (y - (-26)) =30(x - (-1))

y+26=30(x+1)

y+26=30x+30

30x - y + 4 =0 is the equation of tangent at x = -1

Answer 2

Answer:

y=30x+4

Step-by-step explanation:

Related Questions

Please assist, I'm really bad with word problems

Answers

Answer:

The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]

Step-by-step explanation:

Given;

S(r) = 4πr²

where;

S is the surface area of the balloon

r is the radius of the surface

The radius of the balloon at time "t" is given as;

[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]

The surface area of the balloon as a function of time "t" is calculated as;

[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]

Please help me with this
Look at the image

Answers

Answer:

do it ur self

Step-by-step explanation:

and don't cheat

double the difference of 25 and 10 is

Answers

Answer:

Step-by-step explanation:

25-10 = 15

15 x 2 = 30

Double the difference of 25 and 10 is:

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

First we must get the difference between 25 and 10.

[tex]25 - 10 = \green{15}[/tex]

Next, we must double the answer.

[tex]15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}[/tex]

Therefore, the answer is 30.

Stay safe!

Which is the graph of the linear equality 2x-3y<12

Answers

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30

Answers

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

what is the measure of <B, in degrees.

Answers

Answer:

Step-by-step explanation:

The base angles of the triangle are the same since the sides are the same

<C = 74

A+B+C = 180 since the sum of the angles of a triangle = 180

74+B+74=180

Combine like terms

148+B =180

B = 180-148

B = 32

Answer:

[tex]\text{A. }32^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].

Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:

[tex]\angle A+\angle B+\angle C=180[/tex]

Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:

[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]

which statement describes the vector plotted below

Answers

Answer : D.)

The vector begins at the point (0,0). This point is where it BEGINS because it is the end of the vector, it doesn’t point to anywhere.

The vector goes to the point (-5,-5) because this is where it is pointing to.

Please help . Stuck

Answers

Answer:

[tex] - \frac{9}{2} [/tex]

Step-by-step explanation:

Rate of change of y with respect to x

[tex] = \frac{60 - 96}{ - 12 - ( - 20)} \\ \\ = \frac{ - 36}{ - 12 + 20} \\ \\ = \frac{ - 36}{ 8} \\ \\ = - \frac{9}{2} [/tex]

Amanda is reading a book that has 125 pages. She has read 12 pages a day for 4 days in a row.

How many more pages does Amanda have left to read?

Answers

Amanda has 77 more pages to read

explanation:
12x4=28
125-48=77

LAST ONE, ON A TIMER. Find the zeros of the function and write in a + bi form.
-(x+1)^2-4=0

Answers

Answer:

Option D

Step-by-step explanation:

-(x+1)²- 4 = 0(x+1)² = - 4 x + 1 = ± √-4x = -1 ± 2i

Correct choice is D

Answer:

Step-by-step explanation:

Given

- (x + 1)² - 4 = 0 ( add 4 to both sides )

- (x + 1)² = 4 ( multiply both sides by - 1 )

(x + 1)² = - 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )

x = - 1 ± 2i , then

x = - 1 + 2i, x = - 1 - 2i → D

(5/12 divided by 3/4 )
please finde this..
this is 7th class question

Answers

5/12 / 3/4= 5/12 *. 4/3= 20/36= 10/18= 5/9

So 5/9 :))))

Out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience

Answers

Answer:

The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

Step-by-step explanation:

Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:

253 = 100

62 = X

62 x 100/253 = X

6,200 / 253 = X

24.50 = X

Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.

Answers

Answer:

3/15= 1/5 That's the answer

Select the correct answer. Which graph represents the solution to the inequality?

Answers

Answer:

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

Solve for the value of X pleassee

Answers

Answer:

188

Step-by-step explanation:

SR and ST are equal in length so the arc SR and arc ST also have same measurement

since the perimeter of the circle is equal to 360 and arc RT is given as 64

x = (360 - 64) / 2

x = 188

3. a trader sold an article at a discount of
18% for GHC828.00. If the article
was initially marked to gain 25%
profit, find the:
a) cost price of the article
b) discount allowed.

Answers

Answer:

GHC757.317

GHC181.756

Step-by-step explanation:

Given that :

Discount on sale = 18%

Sale price at 18% discount = 828

828 = 100% - 18%

828 = 82%

The cost at 100% can be represented as :

828 = 0.82

x = 1

Cross multiply :

828 = 0.82x

x = 828 / 0.82

x = 1009.7560

The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :

(100 - 25)% * 1009.7560

0.75 * 1009.7560

= GHC757.317

Discount allowed :

1009.7560 - 828

= GHC181.756

Look at this expression, and complete the statements.
3x + 2(x + 2) + 4
In the first term, 3 is
In the second term, (x + 2) is
In the last term, 4 is

Answers

Answer:

[tex]3 \to[/tex] Coefficient of x

[tex](x+2)\to[/tex] Variable

[tex]4 \to[/tex] Constant

Step-by-step explanation:

Given

[tex]3x + 2(x +2) + 4[/tex]

Required

Complete the statements

In 3x, x is the variable; so:

[tex]3 \to[/tex] Coefficient of x

In 2(x + 2), 2 is the variable so:

[tex](x+2)\to[/tex] Variable

4 stands alone. So, it is a constant

[tex]4 \to[/tex] Constant

Answer: In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

The 3 in the first term is multiplied by a variable, x. So it is a coefficient.

The (x + 2) in the second term is multiplied by 2. So, it is a factor.

The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.

The sum of triple a number and 5 is 40.

Answers

x =35/3 or 11 2/3 or 11.6
(all forms)

hope this helped !!

x=35/3 or 11.6 ur welcome

Change fraction ( 11/4) from an improper fraction to a mixed number.

Answers

Answer:

Have a nice day :)

Step-by-step explanation:

To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6

Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2

Answers

Use a graphing calculator

Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4

Answers

la respuesta es a- 6/3

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p.

Answers

Answer:

The point estimate for p is of 0.12.

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.

This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]

The point estimate for p is of 0.12.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.

Answers

Answer:The answer is 4.06

Step-by-step explanation:

Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.

the ratio equivalent to 3:4.

Answers

Answer:

33:44

Step-by-step explanation:

4*11=44

3*11=33

A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable

Answers

Answer:

A: Parameter

B: Population

C: Statistic

D: Variable

E: Sample

F: Data

Step-by-step explanation:

A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.

B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.

C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.

D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.

E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.

F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.

While at her family reunion, Anaya surveys the people there and makes a list of everyone's ages. She wants to make a data display that shows the youngest age, the mean age, and the oldest age, along with the way the other ages are distributed. What kind of display is her best choice?

A. Box-and-whisker plot
B. Histogram
C. Scatterplot
D. Ogive

Answers

Answer:a box and whisker plot

Step-by-step explanation:

Just took the quiz

linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4

Answers

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system: