Please answer!!!

What is the instantaneous slope of y = eight over x at x = -3?
A. -8/3
B. 8/3
C. -8/9
D. 8/9

Answers

Answer 1

Answer:

C

Step-by-step explanation:

[tex]\frac{d}{dx} (8x^-1)\\-8x^{-2}\\[/tex]

using x = -3

[tex]-8(-3)^{-2}\\\frac{-8}{9}[/tex]

Answer 2

The instantaneous slope of the function y = 8/x at x = -3 is -8/9.

Option C is the correct answer.

We have,

To find the instantaneous slope of the function y = 8/x at x = -3, we can differentiate the function with respect to x.

Differentiating y = 8/x using the power rule, we get:

dy/dx = -8/x²

Now, we can evaluate the instantaneous slope at x = -3 by substituting the value into the derivative:

dy/dx = -8/(-3)²

= -8/9

Therefore,

The instantaneous slope of the function y = 8/x at x = -3 is -8/9.

Learn more about derivatives here:

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Related Questions

Can some please help me it’s due today I appreciate your help .

Answers

Answer: 4^2+13x+2

Step-by-step explanation:

4x^2 + 7x + -3 + 6x + 5 combine the like terms

(4x^2) + (7x + 6x) + (-3 + 5)

= 4^2+13x+2

4x to the power of 2+13x+2

NEED HELP ASAP A field's length is 9 meters 40 centimeters. What is the length of the field in millimeters? A)9.24 mm B)940 mm C)9,400 mm D)94,000 mm

Answers

Answer:

C

Step-by-step explanation:

so you will need to figure out the differences also is it 9 meters and 40 centimeters?? if thats the case it is

Answer:

C

Step-by-step explanation:

9.40 x 1000 = C

Helpppp plz!!!! Bout to FINSH

Answers

A
if i’m not mistaken

Answer:

A

Step-by-step explanation:

i need help with this​

Answers

Answer: b) 12

Step-by-step explanation: you can tell its 12 by the way 12 goes into 24 then by the way 6 goes into 12

Select all the equations where z=5z=5z, equals, 5 is a solution.

Choose 3 answers:

Choose 3 answers:


(Choice A)

A

8=z+38=z+38, equals, z, plus, 3


(Choice B)

B

z-1=6z−1=6z, minus, 1, equals, 6


(Choice C)

C

20=40\div{z}20=40÷z20, equals, 40, divided by, z


(Choice D)

D

12z=6012z=6012, z, equals, 60


(Choice E)

E

12+z=1712+z=17

Answers

Answer:

A, D and E

Step-by-step explanation:

A.

[tex]8 = z + 3[/tex]

Subtract 3 from both sides

[tex]8 -3 = z + 3-3[/tex]

[tex]5 = z[/tex]

[tex]z = 5[/tex]

B.

[tex]z - 1 = 6[/tex]

Add 1 to both sides

[tex]z - 1+1 = 6 + 1[/tex]

[tex]z = 7[/tex]

C.

[tex]20 = \frac{40}{z}[/tex]

Multiply through by z

[tex]z * 20 = \frac{40}{z} * z[/tex]

[tex]20z = 40[/tex]

Divide through by 20

[tex]\frac{20z}{20} = \frac{40}{20}[/tex]

[tex]z = 2[/tex]

D.

[tex]12z = 60[/tex]

Divide through by 12

[tex]z = 60/12[/tex]

[tex]z = 5[/tex]

E

[tex]12 + z = 17[/tex]

Subtract 12 from both sides

[tex]-12 + 12 + z = 17 - 12[/tex]

[tex]z = 5[/tex]

Hence:

A, D and E answers the question

Find the term named in the problem.
-21, - 13, -5, 3, ...
Find a23

Answers

a(n) = a(1) + ( n - 1 ) × d

a(23) = -21 + ( 23 - 1 ) × 8

a(23) = -21 + ( 22 ) × 8

a(23) = -21 + 176

a(23) = 155

And we're done....

♥️♥️♥️♥️♥️

Bill has candy from trick-or-treating. He has 15 Reese's and 20 Kit-Kat's.
What is the ratio of Reese's to all candy?

Answers

Answer:

15:35

Step-by-step explanation:

What can you triple and then subtract by 1 to get 29

Answers

Answer:

10 would be the answer :)

Identify the axis of symmetry of the parabola.

Answers

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

Bruce takes out a personal loan of $1,000 to go on a trip to Florida. His loan has an annual compound interest rate of 10%. The loan compounds once each year. When you calculate Bruce's debt, be sure to use the formula for annual compound interest. A = P (1+StartFraction r Over n EndFraction)nt Bruce borrowed $1,000 for his trip. If Bruce waits for five years to begin paying back his loan, how much will he owe? $1,251.10 $1,310.21 $1,610.51 $1,810.71

Answers

Answer: He will owe $1610.51 .

Step-by-step explanation:

Given: Loan amount (P)= $1,000

Rate of interest (r) = 10% = 0.10

Number of years (t)= 5 years

n= 1 (will pay once in a year)

Formula: [tex]A= P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]A=1000(1+0.10)^5[/tex]

[tex]=1000(1.10)^5\\\\=1000(1.61051)\\\\ =1610.51[/tex]

Hence, He will owe $1610.51 .

Answer:

1610.51 $

Step-by-step explanation:

Spock is in! Come scoob!

Answers

Answer:

Huh

Step-by-step explanation:

Answer:

umm whut ok byeeeeeeeeeeeee


Estimate 8,633 x 57,008

Answers

Answer: 492150064

Step-by-step explanation:

Answer:

Step-by-step explanation:

Round 8633 to 9000

Round 57008 to 57000

Multiply 9 by 57 and place the six zeros beside your answer

9×57= 513

9000×57000= 513000000

You want to buy a new case for your iPhone. The case is $37 and the tax is 6%. WHAT IS THE TOTAL?

Answers

Answer:

$39.22

Step-by-step explanation:

The case costs $37. $37 is 100% of the price of the case.

The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.

The total price including tax is 106% of the price of the case.

106% of $37 = 1.06 * $37 = $39.22

Answer: $39.22

PLS HELP ILL GIVE U POINTS :)

Explain how you know the following system of equations has at most 2 solutions.
Solve the system algebraically. Show your work.
Solve the system by graphing.


y= 2x-1
y= x^2-9

Answers

Answer:

Step-by-step explanation:

Answer:

The said explanation is the answer.

Step-by-step explanation:

1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.  

2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)

In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.

Here's the graph:

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance has a melting point of negative 35.84 degrees Upper C and a boiling point of 310.69 degrees Upper C . What is the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid​ state? (Hint: Upper C equals five ninths left parenthesis Upper F minus 32 right parenthesis ​) Express the range as an inequality. Let x represent the temperature in degrees Fahrenheit. What is the range of temperatures for which this substance is not in a liquid​ state? nothing ​(Type an inequality or a compound inequality. Simplify your answer. Use integers or decimals for any numbers in the expression. Round to three decimal places as​ needed.)

Answers

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

What is the value of 11,340 divided by 27​

Answers

Answer:

420

Step-by-step explanation:

420
..................

4(2-3x)+2=38-2x
I need help asap

Answers

Answer:

= −14/5

Step-by-step explanation:

= − 14/5 cause that's what I think it is also I solved it and this is what I got

Can you simplify i47 as much as possible

Answers

Answer:

(

i

4

)

11

(

i

2

i

)

(i4)11(i2⋅i)

thats the answer

True or False: When comparing and ordering scientific notation we look at the exponent first​

Answers

Answer:

f

Step-by-step explanation:

base

Answer:

True, You need to compare the exponents first because the exponent represents place value.

Step-by-step explanation:

Hope this Helps!

Plz Mark Brainliest!

Does this mean -5 over 3
or -3 over 5??? Or what does that mean??? PLEASE HELP

Answers

It probably means to divide or just a fraction

Answer:

That’s -5 over 3 ! :)

Step-by-step explanation:

The -5 is above/over the 3

3 over -5 would look like 3/-5 and the picture you are showing has -5/3.

A swimmer is looking for a species of fish along the coast line. She dives 12 feet below the surface of the ocean. Then she dives down 9 more feet. She swims back up 10 feet and down another 6 feet before she finds the species of fish she is looking for. What was the depth at which the swimmer finds the fish?

Answers

Answer:

17 feet

Step-by-step explanation:

Given

Downward Movements: 12 feet; 9 feet; 6 feet

Upward Movement: 10 feet

Required

Determine the position at which the swimmer got the fish

First, we need to add up the downward movements;

[tex]Downward = 12ft + 9ft + 6ft[/tex]

[tex]Downward = 27ft[/tex]

Then subtract the upward movement

[tex]Position = Downward - Upward[/tex]

[tex]Position = 27ft - 10ft[/tex]

[tex]Position = 17ft[/tex]

Solve the following equation for g.
Rg = m + h²g

Answers

Answer:

g=m/R-h²

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

g=m/R-h²

Step-by-step explanation:

Rg = m+h²g

Rg-h²g=m

by transposing h²g to the other side of the equation it has acquired a negative sign.

after this you factorise the left side.

g(R-h²)=m

now you divide both sides of the equation by R-h². The reason for doing so is because you're trying to single out g.

g=m/R-h²

a scientist recorded the number of geese found in park on various days of week the data are shown below
6,9,,2,12,3,5,9 what is the range of these data

Answers

The range of these data 6, 9, 2, 12, 3, 5, 9 will be 10.

What is the range of the data?

The minimum and maximum values or lower and upper values between a collection of data.

A scientist recorded the number of geese found in park on various days of week, the data are shown below.

6, 9, 2, 12, 3, 5, 9

Then the range of these data will be

⇒ 12 – 2

⇒ 10

More about the range of the data link is given below.

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What percent of $18 is $6?

Answers

33.333% (with the 3 repeating)

1/3 of 18 is 6, so 33.333% (with the 3 repeating) of 18 would be 6.

Answer:

33.333% (its a repeating 3)

Step-by-step explanation:

$6 is 33.33% of 18.

I got this number by dividing 6 by 18, which gave me 0.33333333333.

I then converted 0.33333333333 to a percentage, rounded, and got 33.33%.

The mapping diagram shows a functional relationship.
Complete the statement.
f(3) is
Domain
Range
0
3
Tomos
-1
9
9


Answers

Answer:

its -1

Step-by-step explanation:

cuz

Answer: it’s -1

Step-by-step explanation:

I just did the test

A bike rental company charges $12.75 for the bike and $0.50 for each mile
Hidden. The total charge for one day's rental is $28.75. How many miles did

Answers

Answer:

32 miles

Step-by-step explanation:

this is because you first subtract 12.75 from 28.75 and this will leave you with 16.00. second you will divide 16.00 by .50 and this will leave you with 32 miles

What is (-22)(-8) = pls help me I’m so lost and i dont wanna fail

Answers

Answer:

176

Step-by-step explanation:

Multiply −22by −8.

Answer: +176

Explanation: To multiply (-22)(-8), remember that

a negative times a negative is a positive.

So (-22)(-8) is +176.

1/4d=1/5g(g+e)-h solve for d

Answers

Answer:

d=4g^2/5-4h+4ge/5

Step-by-step explanation:

Thank You Come Again

Warren paid $23.85 and received no change. He is a member and rented 2 lanes. how many pairs of shoes did he rent?

MEMBERS COST: $2.95 ​

Answers

i'm not sure how much the lanes are, so i'm gonna list the prices of pairs of shoes so you can just add the price of the lanes and find the answer:

1 pair - 2.95

2 pairs - 5.90

3 pairs - 8.85

4 pairs - 11.80

5 pairs - 14.75

6 pairs  - 17.70

7 pairs - 20.65

8 pairs - 23.60

(thats the highest amount of shoes he could get)

The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What
is the slope of the line that passes through the points?
O 2
O 3
06
09

Answers

Answer:

2

Step-by-step explanation:

slope= change of y/change of x

slope=6/3=2

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