All categories

3 years ago

Vertex form equation 4(x+2)^2-81 what is the solution?

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Answer:

Step-by-step explanation:

$4(x+2)^2-81=0\\\\4(x+2)^2=81\\\\(x+2)^2=\frac{81}4\\\\x+2=\sqrt{\frac{81}4}\quad\vee\quad x+2=-\sqrt{\frac{81}4}\\\\x=\frac92-2\qquad\vee\quad\ x=-\frac92-2\\\\x=\frac52\qquad\vee\quad\ x=-\frac{13}2$

You might be interested in

In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at

Rudiy27

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

The output level where a purely monopolistic market will maximize profit

at MR = MC

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

7 0

3 years ago

Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health

Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, we clear x (this is the number of years past the year 2000, so it will contain our desired information).

$y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}$

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and this total is our variable y, then

$x=\frac{1400-543}{39.6}\approx 21.6$

Finally, we know that x is the number of years past the year 2000, so the answer is that during the year 2021, the per capita out-of-pocket expenses for health care are predicted to be $1400.

3 0

3 years ago

Evaluate the expression when a = -5 and b = 4

Gwar [14]

Answer:

could you please explain me the exact question

8 0

3 years ago

A box contains 2 red marbles, 3 green marbles, and 3 blue marbles. if we choose a marble, then another marble without putting th

Bad White [126]

There are 7 marbles, including 3 green ones, so at the start, there is a 3/7 chance of getting a green marble.
Assuming you did get a green one, there are now 6 marbles left, with 2 blue marbles, so there is a 2/6 chance of taking a blue marble.
Given that both have to happen, you must multiply each probability, hence the total probability is 3/7 x 2/6, or a 1/7 chance.
Hope this helped

7 0

3 years ago

Read 2 more answers

-7 (-7)^-4 plz help plz

Natali5045456 [20]

Answer: -1/343

Step-by-step explanation:

-7(-7)^-4

First, re-write as positive exponents:

-7(-1/7^4)

Next, simplify:

-1/7^3 (you can simplify using exponent rules)

Simplify 7^3 :

7(7)(7)

49(7)

343.

Insert to original expression:

-1/343.

5 0

3 years ago

Vertex form equation 4(x+2)^2-81 what is the solution?​

Vertex form equation 4(x+2)^2-81 what is the solution?