The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit?20
60
80
100

Answers

Answer 1

Answer: Let us solve the following problem by substituting each value with x.

FIRST CHOICE
f(x) = -(20-20)(20-100)
= -(0)(-80)
= 0

SECOND CHOICE
f(x) = -(60-20)(60-100)
= -(40)(-40)
= -(-160)
= 160

THIRD CHOICE
f(x) = -(80-20)(80-100)
= -(60)(-20)
= -(-120)
= 120

LAST CHOICE
f(x) = -(100-20)(100-100)
= -(80)(0)
=0

The answers yielded 0, 160, 120, and 0, respectively.
Thus, the answer is 60.

Answer 2

Answer:

Answer:

The answer is 60

Step-by-step explanation:

because when you plug in these numbers to the x, 60 is the greatest one.

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Only deposit 4000 between two savings accounts one account paying 4% simple interest in the other page 2% in the end of one year only hair $140 in interest for both accounts how much money did Ernie deposit in the account that paid 4% interest

Answers

Idek shebebeheueheuebebeje

Henry bought pound of roasted almonds for $5. He wants to know the price per pound. What is the price per pound?

Answers

Answer:

Step-by-step explanation:

i did it on IReady

Find all the real cube roots of 0.000027.A. 0.0009
B. 0.03 and -0.03
C. 0.0009 and -0.0009
D. 0.03

Answers

cube root of 0.000027 is 0.03

Answer:

The answer is the option D

$0.03$

Step-by-step explanation:

we have

$\sqrt[3]{0.000027}$

we know that

$\sqrt[3]{0.000027}=\sqrt[3]{(27)/(1,000,000)}=\sqrt[3]{(3^(3))/(100^(3))}=(3)/(100)=0.03$

When I was 2 years old, my sister was half of my age. Now Im 80 years old, how old is my sister?

Answers

Half of 2 = 1 so 1 year apart . That means

80-1 = 79 years

if u were 2 years old n your sister was half your age then her age must be 1
so her present age is 80-1=79(since she was just one year smaller than u)

Find the derivative of f(x) = 4 divided by x at x = 2.

Answers

Hello!

The answer is:

$f'(2)=-1$

Why?

To solve this problem, first we need to derivate the given function, and then, evaluate the derivated function with x equal to 2.

The given function is:

$f(x)=(4)/(x)$

It's a quotient, so, we need to use the following formula to derivate it:

$f'(x)=(d)/(dx)((u)/(v)) =(v*u'-u*v')/(v^(2) )$

Then, of the given function we have that:

$u=4\nv=x$

So, derivating we have:

$f'(x)=(d)/(dx)((4)/(x)) =(x*(4)'-4*(x)')/(x^(2) )$

$f'(x)=(d)/(dx)((4)/(x)) =(x*0-4*1)/(x^(2) )$

$f'(x)=(d)/(dx)((4)/(x)) =(0-4)/(x^(2) )$

$f'(x)=(d)/(dx)((4)/(x)) =(-4)/(x^(2) )$

Hence,

$f'(x)=(d)/(dx)((4)/(x)) =(-4)/(x^(2) )$

Now, evaluating with x equal to 2, we have:

$f'(2)=(-4)/((2)^(2) )$

$f'(2)=(-4)/(4)$

$f'(2)=-1$

Therefore, the answer is:

$f'(2)=-1$

Have a nice day!

ANSWER

$f'(2) = -1$

EXPLANATION

The given function is

$f(x) = (4)/(x)$

Recall that:

$\frac{c}{ {a}^( m) } = c {a}^( - m)$

We rewrite the given function using this rule to obtain,

$f(x) = 4 {x}^( - 1)$

Recall again that,

$f(x)= a {x}^(n)$

then

$f'(x)=n a {x}^(n - 1)$

We differentiate using the power rule to obtain,

$f'(x) = - 1 * 4 {x}^( - 1 - 1)$

$f'(x) = - 4 {x}^( - 2)$

We rewrite as positive index to obtain,

$f'(x) = - \frac{4}{ {x}^(2) }$

We plug in x=2 to obtain,

$f'(2) = - \frac{4}{ { (2)}^(2) } = - (4)/(4) = - 1$

A student solved this problem by working backwards. Riley has some gerbils. He has 4 times as many as Lukas. Lukas has 2 gerbils. Riley gave 5 away and bought 2 more. How many gerbils does Riley have now?

Students's solution: Lukas has 2 gerbils, so Riley had 2 × 4 to begin with. So Riley had 8 gerbils. He gave away 5, so 8 – 5 = 3. He bought 2, so 2 + 3 = 5. So Riley has 5 gerbils.

Here is another problem that can also be solved by working backwards.

Maddy picked 2 times as many tomatoes as carrots from her garden. She picked 4 fewer cucumbers than tomatoes. Maddy picked 5 carrots.

How many cucumbers did Maddy pick?