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

could you help me answer this for a friend ​

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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?​

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Answer:

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

Step-by-step explanation:

what is y to the 2 power = 81

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Answer:9

Step-by-step explanation:

please help me it is kinda easy

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Step-by-step explanation:

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

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.

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

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

| x | >= 4 draw the graph

Answers

Answer:

Solve for x

x ≤ −4 or x ≥ 4

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)

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]

(-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

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].

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

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 ;)

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.

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

Answers

Answer:

Step-by-step explanation:

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

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

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

203.530 divided by 0.7=

Answers

Dnnsbdbshdvsbsbsbzsgbshsbdbbz

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

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

Answers

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

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?


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:

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


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

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

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.

6th grade math Please help​

Answers

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

. 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.

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
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