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2 years ago

Can you show me the steps for this equation and answerF(x)=(x-3)^2+2

2 answers:

8 0

Let's simplify step-by-step.
(
x
−
3
)
2
+
2
Distribute:
=
x
2
+
−
6
x
+
9
+
2
Combine Like Terms:
=
x
2
+
−
6
x
+
9
+
2
=
(
x
2
)
+
(
−
6
x
)
+
(
9
+
2
)
=
x
2
+
−
6
x
+
11

m_a_m_a [10]2 years ago

8 0

To solve f(x) = (x-3)^2 +2:
1. Apply the quadratic formula
2. Remeber to expand the equation
You will get x^2-6x+11, and after applying the formula, you will get imaginary numbers. I don't know if this problem is right, sorry.

You might be interested in

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

3 years ago

PLEASE HELP! A city has a population of 390,000 people. Suppose that each year the population grows by 6.25%. What will the popu

Vaselesa [24]

Answer: The population will be 536,250 people

Step-by-step explanation:

5 0

3 years ago

Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil

Vanyuwa [196]

Answer:

$Probability = \frac{2}{35}$

Step-by-step explanation:

Given

$Total = 70$

First, we need to list the multiples of 5

$M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}$

Then, multiples of 3 $M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}$

Next, is to list out the common elements in both

$M_3\ n\ M_5 = \{15,30,45,60\}$

$n(M_3\ n\ M_5) = 4$

The required probability is then calculated as thus:

$Probability = \frac{n(M_3\ n\ M_5)}{Total}$

$Probability = \frac{4}{70}$

$Probability = \frac{2}{35}$

7 0

2 years ago

-1y + 11= 20 what is the answer 3 or -3

yan [13]

Answer:

-9

Step-by-step explanation:

-1y+11=20

-11= -11

-1y=20-11

-1y=9

-9

8 0

2 years ago

Read 2 more answers

Eight children are divided into two teams each containing 4 children. how many different divisions are possible?

Alekssandra [29.7K]

So this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:
n! / (r! *(n-r)!)
n is the total number of objects being sorted (8)
r is the group you need to sort them into (4)
(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)
definition of !:
a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)

so we put 8 and 4 in this equation:
8! / (4! *(8-4)!)
simplify:
8! / *(4! 4!)
multiply out:
(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)
and put that in your calculator
you will get 70
your answer is 70

4 0

3 years ago