All categories

3 years ago

How do you solve 8n squared+4n-16= -n squared using the quadratic formula?

1 answer:

3 0

8n² + 4n - 16 = -n²
8n² + n² + 4n - 16 = -n² + n²
9n² + 4n - 16 = 0
n = -4 +/- √(4² - 4(9)(-16))
 2(9)
n = -4 +/- √(16 + 576)
 18
n = -4 +/- √(592)
 18
n = -4 +/- 24.33
 18
n = -4 + 24.33 n = -4 - 24.33
 18 18
n = 20.33 n = -28.33
 18 18
n = 1.1294 n = -1.57389

You might be interested in

Find a cubic function with the given zeros.

Fed [463]

Answer:

The correct option is D) $f(x) = x^3 + 2x^2 - 2x - 4$ .

Step-by-step explanation:

Consider the provided cubic function.

We need to find the equation having zeros: Square root of two, negative Square root of two, and -2.

A "zero" of a given function is an input value that produces an output of 0.

Substitute the value of zeros in the provided options to check.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x + 4$ .

$f(x) = x^3 + 2x^2 - 2x + 4\\f(x) = (-2)^3 + 2(-2)^2 - 2(-2) + 4\\f(x) =-8 + 2(4)+4 + 4\\f(x) =8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 + 2x - 4$ .

$f(x) = x^3 + 2x^2 + 2x - 4\\f(x) = (-2)^3 + 2(-2)^2 + 2(-2) - 4\\f(x) =-8+2(4)-4-4\\f(x) =-8$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 - 2x^2 - 2x - 4$ .

$f(x) = x^3 - 2x^2 - 2x - 4\\f(x) = (-2)^3 - 2(-2)^2 - 2(-2) - 4\\f(x) =-8-8+4-4\\f(x) =-16$

Therefore, the option is incorrect.

Substitute x=-2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-2)^3+2(-2)^2 - 2(-2) - 4\\f(x) =-8+8+4-4\\f(x) =0$

Now check for other roots as well.

Substitute x=√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (\sqrt{2})^3+2(\sqrt{2})^2 - 2(\sqrt{2}) - 4\\f(x) =2\sqrt{2}+4-2\sqrt{2}-4\\f(x) =0$

Substitute x=-√2 in $f(x) = x^3 + 2x^2 - 2x - 4$ .

$f(x) = x^3 + 2x^2 - 2x - 4\\f(x) = (-\sqrt{2})^3+2(-\sqrt{2})^2 - 2(-\sqrt{2}) - 4\\f(x) =-2\sqrt{2}+4+2\sqrt{2}-4\\f(x) =0$

Therefore, the option is correct.

8 0

3 years ago

HELP PLEASE HELP ME ON THIS ASAP WITH STEP BY STEP JUST PLEASE HELPPP

Nastasia [14]

Answer:

1) 16

2a) 100 -a -2b

2bi) (100 -a -2b)/4

2bii) 11

Step-by-step explanation:

1. Put the numbers where the corresponding variables are and do the arithmetic.

(2(1) +3(-2))^2 = (2 -6)^2 = (-4)^2 = 16

2. The pieces cut from the wire have the lengths a, b, b. The sum of those lengths is a+b+b = a+2b.

2a. The remaining length is what is left when the total of cut pieces is subtracted from the original amount:

100 -(a+2b) = 100 -a -2b

2bi. The perimeter of the square is the amount in part (2a). A square has 4 sides of the same length, so each side has a length that is 1/4 of the perimeter. The side length is ...

(100 -a -2b)/4 . . . . length of one side of the square

2bii. Fill in the given values for "a" and "b" and do the arithmetic.

(100 -24 -2(16))/4 = (76 -32)/4 = 44/4 = 11 . . . one side of the square

3 0

3 years ago

12÷0.5 explain the division expression in terms of bags of almonds

zepelin [54]

You have a total of $12. Each bag of almonds cost $0.50, how many bags of almonds can you buy with your $12?

6 0

3 years ago

Which of the following explains why all circles are similar?

melomori [17]

Answer:

because all circles are round and just different sizes. not a different shape

4 0

3 years ago

Read 2 more answers

Determine the area and perimeter or circumference of the following figures. What do A and p =

pogonyaev

The perimeter is 34 cm

The area is 48 cm ²

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

8 0

3 years ago

Read 2 more answers