1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Salsk061 [2.6K]
3 years ago
13

Question 1(Multiple Choice Worth 2 points) Find the derivative of f(x) = 7 divided by x at x = 1.

Mathematics
2 answers:
nydimaria [60]3 years ago
5 0

Answer:

Step-by-step explanation:

Vaselesa [24]3 years ago
5 0

Question 1:

For this case we must find the derivative of the following function:

f (x) = \frac {7} {x} evaluated at x = 1

We have by definition:

\frac {d} {dx} [x ^ n] = nx ^ {n-1}

So:

\frac {df (x)} {dx} = - 1 * 7 * x ^ {- 1-1} = - 7x ^ {- 2} = - \frac {7} {x ^ 2}

We evaluate in x = 1

- \frac {7} {x ^ 2} = - \frac {7} {1 ^ 2} = - 7

ANswer:

Option A

Question 2:

For this we must find the derivative of the following function:

f (x) = 4x + 7\ evaluated\ at\ x = 5

We have by definition:

\frac {d} {dx} [x ^ n] = nx ^ {n-1}

The derivative of a constant is 0

So:

\frac {df (x)} {dx} = 1 * 4 * x ^ {1-1} + 0 = 4 * x ^ 0 = 4

Thus, the value of the derivative is 4.

Answer:

Option A

Question 3:

For this we must find the derivative of the following function:

f (x) = 12x ^ 2 + 8x\ evaluated\ at\ x = 9

We have by definition:

\frac {d} {dx} [x ^ n] = nx ^ {n-1}

So:

\frac {df (x)} {dx} = 2 * 12 * x ^ {2-1} + 1 * 8 * x ^ {1-1} = 24x + 8 * x ^ 0 = 24x + 8

We evaluate for x = 9we have:

24 (9) + 8 = 224

Answer:

Option D

Question 4:

For this we must find the derivative of the following function:

f (x) = - \frac {11} {x}\ evaluated\ at\ x = 9

We have by definition:

\frac {d} {dx} [x ^ n] = nx ^ {n-1}

So:

\frac {df (x)} {dx} = - (- 1 * 11 * x ^ {- 1-1}) = 11x ^ {- 2} = \frac {11} {x ^ 2}

We evaluate for x = 9 and we have:

\frac {11} {9 ^ 2} = \frac {11} {81}

ANswer:

Option D

Question 5:

For this case we have by definition, that the derivative of the position is the velocity. That is to say:

\frac {d (s (t))} {dt} = v (t)

Where:

s: It's the position

v: It's the velocity

t: It's time

We have the position is:

s (t) = 1-10t

We derive:

\frac {d (s (t))} {dt} = 0- (1 * 10 * t ^ {1-1}) = - 10 * t ^ 0 = -10

So, the instantaneous velocity is -10

Answer:

-10

You might be interested in
Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form
murzikaleks [220]

Answer:

4/5

Step-by-step explanation:

you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction

7 0
2 years ago
Is the expression below completely factored? If not, complete the factorization.
Ket [755]

Answer:

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).

Step-by-step explanation:

Considering the expression

4y(8y3 – 12y2 + 6y)

From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element

8y3/2y = 4y2

12y2/2y = 6y

6y/2y = 3

Hence

4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)

= 8y2(4y2 - 6y + 3)

6 0
3 years ago
Marcy needs to make 5 lb of a cashew/raisin mixture for a party. Her local grocery store sells raisins for $4.50/lb and cashews
Aloiza [94]

Answer:

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Step-by-step explanation:

Let

Pounds of raisins = x

Pounds of cashew = y

x + y = 5 (1)

4.50x + 9.50y = 40 (2)

From (1)

x = 5 - y

Substitute x = 5 - y into

4.50x + 9.50y = 40

4.50(5 - y) + 9.50y = 40

22.50 - 4.50y + 9.50y = 40

- 4.50y + 9.50y = 40 - 22.50

5y = 17.5

y = 17.5 / 5

= 3.5

y = 3.5lb

Substitute y = 3.5 into

x + y = 5

x + 3.5 = 5

x = 5 - 3.5

= 1.5

x = 1.5lb

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

7 0
2 years ago
HELP AGAIN!!! Plzzzzz thank you!!!
never [62]
Absolute value of -1/3 is 1/3
6 0
3 years ago
3(2x + 6) = 2(4x – 5)
maxonik [38]

Answer:

x = 14

....................              

6 0
3 years ago
Other questions:
  • Use the quadratic formula to solve the equation.<br><br>-3x^2 - x - 3 = 0
    14·1 answer
  • What is the sum of the series?
    9·1 answer
  • A cube has eight congruent faces.<br> true<br> false
    5·1 answer
  • What is 1.1 to the 10th power
    7·1 answer
  • If y varies inversely with x, and y = -16 when x = -64, what is the constant of variation?
    15·2 answers
  • If it takes 4 gallons of gas to go 92 miles, how many can be driven in 6 gallons
    5·1 answer
  • Will give brainliest for correct answer
    12·1 answer
  • ANYWAYS next one qwq I’m already loosing hope and self esteem
    5·2 answers
  • Solve the given equation.<br><br><br><br> 8x = 168<br><br> what is x
    8·2 answers
  • Jaylynn draw a hen on graph paper using scale of 1 unit on her graph paper represents 5cm.The hen has height of 11 units in the
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!