given f(7)=4, f'(7)=10, g(7)=-1, g'(7)=8, find the values of the following: 1. (fg)'(7) = 2. (f/g)'(7) =

Answers

Answer 1

By the product rule,

[tex](fg)'=f'g+fg'[/tex]

so that

[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]

By the quotient rule,

[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]

so that

[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]


Related Questions

Need help with 2-5 plsssss

Answers

Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor


Rachel works 5 days a week and works 7.5 hours on each of the days she works. How many hours does
Rachel work in 3 weeks

Answers

Answer: 112.5 hours

Step-by-step explanation:

alex has 55 marbles. He has 19 green marbles and 23 blue how many red marbles does he have

Answers

Answer:

He has 13 red marbles

Step-by-step explanation:

add 19 and 23

19+23=42

Subtract 42 from 55

55-42=13

Hey there!

ANSWER: [tex]13[/tex]EXPLANATION:

Alex has 55 marbles. He has 19 green marbles and 23 blue how many red marbles does he have ?

Let's add the green marbles and blue marbles together.

[tex]19+23=42[/tex]

So now let's subtract 42 from 55.

[tex]55-42=13\\13(ANSWER)[/tex]

So now there is 13 left. That is your answer.

Hope this helps!

[tex]-TestedHyperr[/tex]

| x | >= 4 draw the graph

Answers

Answer:

Solve for x

x ≤ −4 or x ≥ 4

Find the slope of the line passing through each of the following pairs of points.
(5.7), (-6, -3)
What is this

Answers

Answer: [tex]\frac{10}{11}[/tex]

Step-by-step explanation:

To find the slope, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-7}{-6-5}=\frac{-10}{-11} =\frac{10}{11}[/tex]

Now we know the slope is [tex]\frac{10}{11}[/tex].


It costs $5 to get into the state park, plus $12 per night for you to camp there. If you have a total of $137 to
spend, how many nights can you camp there?

Answers

Answer:

11 nights

Step-by-step explanation:

Our total budget: $137

First, let's deduct the cost to enter the park.

137 - 5 = 132

We have $132 to spend on the hotel.

Since the cost is $12 per night, we need to find out how many times $12 can go into $132. This is done using division.

132 / 12 = 11

As we can see, we can pay $12 eleven times until our money runs out.

Thus, we can stay at the camp for 11 nights!

Answer: 11 nights

what is y to the 2 power = 81

Answers

Answer:9

Step-by-step explanation:

(-5) ÷ (-7) = _____


-
35
-35

Answers

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

+35
explanation:
The quotient of 2 integers with the same sign is positive.
The quotient of 2 integers with different signs is negative.
Example:
(-8) ÷ (-4)= 2

(3 + 5i) + (11 -7i) Write answer in standard form a +bi

Answers

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

6th grade math Please help​

Answers

Answer:
1. = 8
2. = 1.7
3 = 92
Goodluck

The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K?

Answers

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] M(2, 1) = (x_1, y_1) [/tex]

[tex] P(12, 6) = (x_2, y_2) [/tex]

[tex] m = 3, n = 2 [/tex]

Plug in the necessary values to find the coordinates of K:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(12) + 2(2)}{3 + 2} [/tex]

[tex] x = \frac{36 + 4}{5} [/tex]

[tex] x = \frac{40}{5} [/tex]

[tex] x = 8 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(6) + 2(1)}{3 + 2} [/tex]

[tex] y = \frac{18 + 2}{5} [/tex]

[tex] y = \frac{20}{5} [/tex]

[tex] y = 4 [/tex]

The coordinates of K = (8, 4)

203.530 divided by 0.7=

Answers

Dnnsbdbshdvsbsbsbzsgbshsbdbbz

How many at-bats did the player have?

Answers

Answer:

450

Step-by-step explanation:

17 full balls + (1/2+1/2)=1

18*25=450

Answer:

450 at - bats

Step-by-step explanation:

Home run = 50

Triples = 37.5

Doubles = 75

Singles = 125

walks = 62.5

Outs = 100

Total = 450

hopefully this helps you  :)

Pls mark me brainlest ;)

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation. Passing through ​(​-8,​0) and ​(​0,​8) Type the​ point-slope form of the equation of the line.

Answers

Answer:

Step-by-step explanation:

(8 - 0)/(0 + 8)= 8/8= 1

y - 0 = x + 8

y = x + 8

(03.01)
Factor completely 2x^5 + 10x^4- 22x^3

Answers

Answer:

Step-by-step explanation:

2x^3(x^2 + 5x - 11)

2. Tess picked 12 flowers on Monday morning In the afternoon she picked some more flowers. If Tess picked 27 flowers in all, how many did she pick in the afternoon?​

Answers

27 in total
12 in the morning
27-12 = 15
She picked 15 in the afternoon

Which expression is equivalent to 21 - (-5)?
O A. -21 + 5
O B. 21 + 5
O C. -21 - 5
O D. 21 - 5

Answers

The answer is 21+5. Since there are 2 subraction of a negative it becomes a positive
It’s 21+5 (which is letter B) You turn the two negative signs positive.

Please help I'm stuck

Answers

Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

please help me it is kinda easy

Answers

Step-by-step explanation:

this is your answer........

Donna arranges 32 tiles in equal rows, as shown below. Which expression
represents the number of tiles in each row?
32 x 4
32 + 4
32 : 4
32 - 4

Answers

32 x4 because you are multiplying four rows to make 32
32 x 4 because you are multiplying the rows

write in algebraic expression 15 less than the product of 2 and r

Answers

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

The algebraic expression for the statement"15 less than the product of 2 and r" will be 2r-15.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is, "15 less than the product of 2 and r."

Let the expression is equated to x in order to represent,

x=15 less than the product of 2 and r

x=2r-15

Thus, the algebraic expression will be 2r-15.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Noah is shopping for new socks. He sees many different options. One bag has 12 socks for $9.99, another bag has 20
socks for $14.99, and a third bag with 10 socks for $19.99. Which is the best deal for socks?

Answers

Answer:

the bag with 20 socks for $14.99

Answer:

Second bag having 20 socks for $ 14.99 is the best deal.

Step-by-step explanation:

To find the best deal, you have to find the unit rate

First bag:

Unit rate = 9.99 ÷ 12 = $ 0.8325

Second bag:

unit rate = 14.99 ÷ 20 = $ 0.7495

Third bag:

Unit rate = 19.99 ÷ 10 = $ 1.999

Second bag having 20 socks for $ 14.99 is the best deal.

Which statement is true? Question 7 options: A) |–3| = 3 and –|–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and |–4| = –4​

Answers

Answer:A

Step-by-step explanation:

The absolute value of -3 is 3. The absolute value of -4 is 4, but since there is a second negative, it makes the positive 4 and negative again.

7/9-2n+1/9 simplify the fraction please help!

Answers

Answer: -2*(9n-4)/9

Step-by-step explanation: The -2*(9n-4) is over the 9

. Pay close attention to the order operations to find the value of: 26 + (10-2) = 4 + 3 - 6 Show each step:​

Answers

26+8=4+3-6 then solve so 34=7-6 then finish solving so 34=1 and those two aren’t equal.

Find the sum of the first 80 terms of the sequence. Show all work for full credit. 1, -3, -7, -11, ...

Answers

Answer:

-12960

Step-by-step explanation:

The formula for the sum of terms =

Sn = n/2[2a + (n - 1) d]

n = number of terms = 80

The given sequence =

1, -3, -7, -11, ...

a = First term = 1

d = common difference

= Second term - First term

= -3 - 1

= -4

Therefore, the sum of the first 80 terms:

S80 = 80/2[2 × 1 + (80 - 1)]-4

= 40[2 + 79]-4

= 40 × 81 × -4

= -12960

The sum of the first 80 terms = -12960

Which one is from greatest to least?

A : -15, -8, 10, 12

B : 12, 10, -15, -8

C : 12, 10, -8, -15

D : -15, -8, 12, 10

HELPPP!! ASAP!!

Answers

Answer:

C is correct!

12,10,-8,-15

Which one is from greatest to least?
C: 12, 10, -8, -15

could you help me answer this for a friend ​

Answers

Answer:

The correct option is option C(SAS) as there are 2 angles and 1 common side(BC) used to prove the triangles congruent..

Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation?​

Answers

Answer:

1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.

Step-by-step explanation:

The current temperature is 70 degrees at 8am. It is a hot day, so the temperature keeps rising 3 degrees every hour. What is the temperature at 1pm?

Answers

Answer:

85

Step-by-step explanation:8 to 1 pm is 5 hours I think XD so 5 times 3 degrees is 15 so 15 +70 is 85

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