Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.(a) Find P '(2). (b) Find Q'(7).

Answers

Answer 1

Answer: Hello,

Very nice like question!

a)
F(2)=3 ; G(2)=2
F'(2)=0; G'(2)=1/2
P'(x)=F'(x)*G(x)+F(x)*G'(x)

P'(2)=0*2+3*1/2=3/2

b)
F(7)=5; G(7)=1
F'(7)=1/4; G'(7)=-2/3

Q'(x)=(F'(x)*G(x)-F(x)*G'(x)) / G²(x)

Q'(7)=(1/4*1-5*(-2/3))/1²=1/4+5/3=23/12

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You spin the spinner below once what is the probability that the arrow will land on 3

Answers

I saw the spinner. It has 8 numbers from 1 to 8.

probability that the arrow will land on 3.

1, 2, 3, 4, 5, 6, 7, 8

P(A) = the number of ways event A can occur
the total number of possible outcomes

P(3) = 1/8

There is only 1 number 3 out of 8 possible outcomes.

Answer:

0.125

Step-by-step explanation:

1/8 as a decimal is 0.125. I think this is the answer but I am not 100% positive.

What are the zeros of the polynomial function f (x)=x^2-12x+20

Answers

I hope this helps you

f (x)=(x-10)(x-2)

x=10

x=2

Answer:

the answer is 10 and 2

A car travels 70 miles in 80 minutes. Which is its average speed per minute?a. 11 miles
b. 8.75 miles
c. 1.14 miles
d. 0.875 miles User: gopd

Answers

Answer:

The average speed per minute of the car is :

d. 0.875 $(mi)/(min)$

Step-by-step explanation:

The average speed tells you the speed of an object over time, it can be expressed as:

$A_(s)=(Distance)/(Time)$

As the car travels 70 miles in 80 minutes, we can replace values in the equation:

Distance = 70 miles

Time = 80 minutes

$A_(s)=(Distance)/(Time)$

$A_(s)=(70miles)/(80minutes)$

$A_(s)=0.875(mi)/(min)$

70/80 = miles per minute.
70/80 = 0.857 miles per minute

Answer: d. 0.875 miles

Presley is organizing the school book sale. Each stall will have 40 books on the shelf and 2 boxes of books with b books inside. Presley also has 200 books in inventory to refill the shelves as books sell. This situation can be written as the following expression:40s + (2b)s + 200

How many books should Presley have ready if she plans to open 8 stalls and have 12 books in each box?

a) 520
b) 712
c) 820
d) 1,622

Answers

s=number of stalls I assume

if s=8
and b=12
40(8)+(2*12)8+200
320+(24)8+200
520+192
712

B

When June went to a grocery store, 10% of the total amount she paid was spent on ice cream. Her total bill was40. How much money did June spend on ice cream?

Answers

June spent 20$ on ice cream.

Answer:

Step-by-step explanation:

she should have only spent 4 dollars. she spent a total of 40$ and 10%of that was on ice cream. to figure that out divide 40 by 10 percent since it is a fair ratio of 100% you will get 4.

How much money is 30% of $25.00

Answers

Answer: $7.50

Step-by-step explanation:

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