=
For the function f(x) = x2 – 6, find the equation of the tangent line at
X = -1.

Answers

Answer 1

Answer:

[tex]y = - 2x - 7[/tex]

Step-by-step explanation:

One way is to differentiate the function

[tex] \frac{d}{dx} {x}^{2} - \frac{d}{dx} 6[/tex]

Use Power Rule

[tex]2x - 0[/tex]

[tex]2x[/tex]

P

[tex] - 2[/tex]

Plug in -1 so we get

That gives us the slope of the tangent line. we must find the point it passes through.

[tex]( - 1) {}^{2} - 6 = - 5[/tex]

So it have a slope of -2 and passes through (-1,-5)

So we use point slope form

[tex]y + 5 = - 2(x + 1)[/tex]

[tex]y = - 2x - 7[/tex]


Related Questions

Leo practices piano for a
minimum of 90 minutes each
week. On Monday, he
practiced 10 minutes. For the
rest of the week, he practiced
in 20-minute sessions. How
many sessions would it take to
meet his goal?

Answers

Answer:

4 sessions.

Step-by-step explanation:

He starts with 10 minutes practiced and has to finish his quota in 20 minute sessions, so we can represent that with the equation 90=20x+10. Then solve for x.

90=20x+10

Subtract 10

80=20x

Divide by 20

x=4

It would take 4 sessions.

Answer:

1 10 min session + x 20 min sessions = 90 min

10+20x=90

20x=80

x=4 sessions


Determine the intercepts of the line.
Do not round your answers.
y - 6 = 4(x + 5)

Answers

Answer:

5

Step-by-step explanation:

ten minus six is four, therefore x must be equal to five since five plus five is ten

please help me please and thank you!!!!!!!!

Answers

Answer:

32° + (x+9)° + (2x-8)° = 90°

32° + x + 9° + 2x - 8° = 90°

33° + 3x = 90°

3x = 90° - 33°

3x = 57°

x = 19°

angleCFD = 2×19 - 8

angle CFD = 30°

........


A chain store plans to reduce its workforce by 3%. If there are currently 18,800 employees and 128 of them retire voluntarily, how many additional employees must
be laid off?

Answers

Answer: 436

Step-by-step explanation: 18,800 divided by .03 equals 564-128=436

A=1/2h(B+b); A=21, B=2, b=4 h= ?

Answers

Answer:

Step-by-step explanation:

21=.5h(2+4)

21=.5h(6)

21=3h

/3  /3

7=h

21=.5(7)(6)

21=.5(42)

21=21

h=7

21=1/2h(2+4)
21=1/2h(6)
6/2=3
21/3=7

The area of a circle with a diameter of 4.275" is ___ sq in

Answers

Answer:

Step-by-step explanation:

diameter = 4.275"

r = 4.275 ÷ 2 = 2.1375"

Area of circle = πr²

                      = 3.14 * 2.1375 * 2.1375

                      = 14.3463

                     ≈ 14.3 in²

Brainliest to first person

Answers

Answer:

True

Step-by-step explanation:

(16³ - 8³)(4³ + 2³)

(4096 - 512)(64 + 8)
(3584)(72)

258048
To check if this statement is true, divide 258048 by 63:
258048/63 = 4096
Hope this helps :)

these numbers form an addition and subtraction fact family for 6,7,13 here the choices 7+13=20 13+7=20 13-13=0 13-0=13 and 7+0=7 6+0=6 13-0=13 13-13=0 and 7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6 which one is the right answer​

Answers

Answer:

Answer:

7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b

Step-by-step explanation:

this involves any number that when subtracted or added it gives each other the values of the family

Example:-

7 + 6 equals 13, 13 - 6 equals 7,

so you see how they relate,

please mark me brainiest

^_^

carter has 1/2 gallon ice cream to make 4 ice cream cones how much ice creamhe use to make each cone

Answers

Answer:

1/8 for each

Step-by-step explanation:

4 decided by 2 for each one

Help help help help math math

Answers

The corresponding part would be DE.

Pls help asap! :))
Does this graph show a function? Explain how you know

Answers

Answer:

A.

Step-by-step explanation:

[tex]A\ meaningful\ function:\\ one\ vertical\ has\ just\ one\ point\ of\\ intersection.[/tex]

{Definition of functiuon graph}

I hope this helps you

:)

1
What is the image of (0, 12) after a dilation by a scale factor of centered at the
origin?

Answers

Answer:

(0,4)

Step-by-step explanation:

Multiply each point by 1/3

0 x 1/3 = 0

12 x 1/3 = 4

Given that f (x)=2x^3-7x^2-5x +4 find the remainder by dividing it by (x-1)

Answers

Step-by-step explanation:

2 of the Constitution Constitution Constitution Sultanate Sultanate Flow 1

f(n+1)=5f(n), where f(1)=3 and n>1

Answers

Answer:

[tex]f(n) = \frac35 5^n[/tex]

Step-by-step explanation:

Let's assume the solution is of the form [tex]f(n) = \alpha k^n[/tex], where [tex]\alpha[/tex] is to be determined on the starting condition, and [tex]k \in \mathbb{R} \ne 0[/tex]

[tex]f(n+1) -5f(n) = 0\\\alpha k^{n+1} -5 \alpha k^n=0\\\alpha k^n (k-5) = 0 \rightarrow k= 5[/tex]

at this point we can use our starting condition to determine the value of [tex]\alpha[/tex]:

[tex]f(1)=3 \rightarrow \alpha 5^1 =3 \rightarrow \alpha =\frac 35[/tex]

Our solution is, thus [tex]f(n) = \frac35 5^n[/tex]

Lia is making a window covering that has 5 sections, each of which is 1 3/10 feet in width. What is the width of the entire window covering?

Answers

Answer:

61/2feet

Step-by-step explanation:

mark me brainliest!!

do x = 3 and 3x have the same value when x = 3

Answers

Answer:

yes

Step-by-step explanation:

because x=3 in both scenarios

No it’s not since x=3 just =3 and in 3x you would substitute x for 3 and you would get 9 as the answer so no

Center (8,4), r = 3
Write the standard equation for the circle.

Answers

Answer:

(x - 8)² + (y - 4)² = 9

Step-by-step explanation:

(x - 8)² + (y - 4)² = 3²

(x - 8)² + (y - 4)² = 9

(EXTRA BONUS POINTS LOTS)
An online ticket broker charges a flat service fee of $6.50 per ticket sold. If Jessica buys a concert ticket priced at $36, what will be her total cost?

Group of answer choices

$5.53

$42.50

$29.50

$234

Answers

The answer to this question is $42.50.

Answer:

S234tep-by-step explanation:

36*6.50

=234

At the library, 56 people borrowed
books on Monday. Then 48 people
borrowed books on Tuesday. On
Wednesday, 40 people borrowed
books. If this pattern continues,
how many people will borrow
books on Friday?

Answers

Answer:

24 people borrowed the books on Friday

Step-by-step explanation:

Every day, the number of books is being subtracted by 2.

56 - Monday (-8)

48 - Tuesday (-8)

40 - Wednesday (-8)

32 - Thursday (-8)

24- Friday

Can anyone help me with this?​

Answers

is this algebra or geometry?

(7+x)^2whats the answer?

Answers

Answer:

[tex](7+x)^2=x^2+14x+49[/tex]

Step-by-step explanation:

I'm guessing you are wanting to expand the expression?

[tex](7+x)^2=(7+x)(7+x)=(7)(7)+(7)(x)+(x)(7)+(x)(x)=49+7x+7x+x^2=x^2+14x+49[/tex]

Find the slope and the y -intercept of the graph of the linear equation.
-2x+y = 4

The slope is (Answer here)
and the y-intercept is (Answer here)

Answers

Answer:

I have answered this question already.

Step-by-step explanation:

Using the following data, calculate the median.
22, 22, 18, 18

Answers

Answer:

20

Step-by-step explanation:

To find the median, first, arrange the numbers from smallest to greatest. We have 18, 18, 22, 22. Next, find the number in the center. In this case, there are two numbers in the middle and it doesn't easily fall under one number. In this case, find the average of the two numbers. We have (18+22)/2 = 20. Therefore, the median of 18, 18, 22, 22 is 20.

If the surface area of a sphere is 22176 sq.cm than find it's radius.​

Answers

the surface area of a sphere: 4πr²

22176 = 4πr²

r² = 22176/4π

r = 42 cm

Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the number of ant legs, l.

Katie writes a = 6 • 1 and Lukas writes a = 1/6 • l.

Whose equation do you agree with?

A. Katie
B. Lukas
C. Both
D. Neither

Explain your reasoning.​

Answers

Answer:

A

Step-by-step explanation:

I agree with Katie because number is legs is directly proportional to the number of ants.

1 ant has 6 legs.

So, 2 ants have 6 *2 = 12

3 ants have 6*3 = 18

An earring has the shape of a rhombus. The height is 5.2 mm and the area of the earring is 39mm

What is the length of one side of the earring?

Answers

Answer:

7.5 mm

Step-by-step explanation:

To find the length of the earing,  you need to divide 39 by 2.5
39/2.5=7.5
Hope this helps :)

If x = 9 , evaluate the following expression: 2 x

Answers

Answer:

18

Step-by-step explanation:

You should place the value of x which is 9 into the expression 2 x

2(9)=18

Answer:

Step-by-step explanation:

The answer is:

If x=9

2x= 2 times 9

2 times 9 is 18

Answer is 18

please help me answer this asap thank you

A circle with center O has a diameter of 26 cm. A chord, PQ, is 24 cm in length. How far is the chord from the center of the circle?

Answers

The chords from the center of the circle will be 5 cm. Apply pythogorous to find the distance of chords from the center of the circle.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given data;

Diameter,d=26 cm

Chord, PQ, = 24 cm

P is the chord from the center of the circle

All the given dimensions shown in the digrame are in the centimeter.

The chords from the center of the circle are found by the pythogorous theorem;

From Δ DCB

The value of the side p is;

h²=p²+b²

13²=p²+12²

169=p²+144

p=5 cm

Hence, the chords from the center of the circle will be 5 cm.

To learn more about the circle, refer to the link: https://brainly.com/question/11833983.

#SPJ1

pls help me answer this asap thank you

Answers

Answer:

33

Step-by-step explanation:

Using the Intersecting Chords Theorem

For any two Intersecting Chords --->  UC*CW=TC*CV

By Substituting --->  12(2x+5)=14(2x+2)

By Expanding   --->  24x+60=28x+28

Then --> 28x-24x=60-28

Then --> 4x=32

So x=32/4=8

Now to get UW,,  UW=UC+CW=12+(2x+5)=2x+17

By Substituting by x=8

UW=2x+17=2*8+17=33

Isabelle found the mean absolute deviation of the data shown.

Match her work to the correct step description.

100 points for right answer

Answers

Answer:

it's 50

Step-by-step explanation:

I had the exact same question

Answer:

the answer is 50!

Step-by-step explanation:

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