Which would be the best method to use to solve the following equation. Explain your reasoning.

Methods:

Factoring
Square root Property
Completing the Square
Quadratic Formula

1. 3x^2 - 192 = 0
Method:
Why:

Answers

Answer 1

Answer:

x = ±8

Step-by-step explanation:

The given equation is :

[tex]3x^2-192=0[/tex]

We can use the Square root Property to solve it.

Adding 192 both sides,

[tex]3x^2-192=0\\\\3x^2=192[/tex]

Dividing both sides by 3.

[tex]x^2=64\\\\x=\sqrt{64} \\\\x=\pm 8[/tex]

So, the value of x is equal to +8 and -8.


Related Questions


Please help me find the answer fo this!!

Answers

Answer:

÷3==533740£; ok8iejeoeoeo

21. Sandra is 4 feet tall. Pablo is 10% taller than Sandra, and Michaela is 8% taller than Pablo. a. Explain how to find Michaela's height with the given information.​

Answers

Answer:

Step-by-step explanation:

Find 10% of Sandra’s height then find 8% of Pablo’s height, then combine. 4 feet 9 inches.

Find the 43rd term of the sequence

-3.0,-2.5,-2.0,-1.5

Answers

Answer:

19.5

Step-by-step explanation:

The 43rd term of the sequence is 19.5

What is the distance between the two points?
(0.5, 1.3), (-0.4, -1.2)

Answers

Answer:

2.66 (rounded to the nearest hundredth)

Solve the system of equations by substitution.
5x + y =18
Y=4x

Answers

Answer:

x =2 y= 8

Step-by-step explanation:

(9/89)x490+324
Please help

Answers

Answer:

(9/89)×490+324=9/89×490=4410/89+324=?

Answer:

decimal form is 373.55056

Step-by-step explanation:

multiply (9\89) x 490 in a calculator

you should get (4410\89) then add 324

you'll get another fraction (33246\89)

put that in a calculator and use the double arrow button (if you have it)

it looks like this in a way ( <||>)

I hope this help unless its too late.

If i'm too late i'm sorry I was in class when my computer died

In order to take good notes while reading, you must ask yourself ________________. a. “What is the main idea?” c. “What have I learned?” b. “What are the supporting details?” d. all of the above Please select the best answer from the choices provided A B C D

Answers

Answer: D do all of the above and you will get good grades

Step-by-step explanation:

A market sells coffee from Brazil for $3 per pound and coffee from Colombia for $4 per pound. How
many pounds of each should be used in order to sell the blend of 100 pounds for $3.50 per pound?

Answers

Answer:

It would be 28 brazilian and 4 Colombian

Step-by-step explanation:

I multiplied alot and please forgive me if this is wrong

Glenisha checking account had a balance of $973.92. She wrote checks for $91.03 and $13.45. She deposits her paycheck in the amount of 210.90. What is Glenisha's new balance

a) 1,080.34
b) 867.51
c) 658.53
d) 597.23

Answers

Answer:

A

Step-by-step explanation:

need the GCF of the following term​

Answers

Answer:

x²y²

Step-by-step explanation:

Refer to image below:

a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y​

Answers

Step-by-step explanation:

[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]

y2 = y , x2 = 5

y1 = 2 , x1 = 3

[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]

-4 = y-2 ==> y = -2

Answer:

y=-2

Step-by-step explanation:

For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).

Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:

-2=(y-2)/(5-3)

-2(2)=y-2

y=-4+2

y=-2

Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?

Answers

Answer: 11/23

Step-by-step explanation:

I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.

The largest fraction will be 11/23.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Now,

Since, All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Here, The values are,

⇒ 9 /19 = 0.47

⇒ 5/11 = 0.45

⇒ 7/15 = 0.46

⇒ 11/23 = 0.48

Thus, The largest value of the fraction = 11/23

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Zac gave 60 candies to 12 friends. Write an equation to solve how many pieces they each get.
HELPP PLSS

Answers

Answer:

each friend gets 5 candies.

Step-by-step explanation:

ok, let's list the basics.

Zac has 60 candiesZac has 12 friendsEach friend gets the same amount of candies

for this question we need to use division.

60 ÷ 12 = 5

i really hope this helped, if you have any questions feel free to ask

good luck my friend!

-cheesetoasty

60 divided by 12 equals 5

So, 12 of Zac’s friends each got 5 pieces of candy.

60 / 12 = 5

A school social group has 30 seniors, 38 juniors, 24 sophomores, and 18 freshmen. They need to choose a president, an assistant, and an accountant. The president must be a senior and the assistant must not be a freshman. How many different ways can they pick the officers?

Answers

Step-by-step explanation:

by choosing from the sophomores or by choosing from the freshmen

Answer:

303600

Step-by-step explanation:

There are:

30 seniors, 38 juniors, 24 sophomores, and 18 freshmen

The president must be a senior.

Number of ways = 30

The assistant must not be a freshman.

Number of ways = 30 + 38 + 24 = 92

The accountant can be anyone.

Number of ways = sum of all = 110

Number of ways to pick officers:

30*92*110 = 303600

The water ski club plans to build a new ramp for their ski shows in the shape of a triangular prism shown below

Answers

Answer:

24.8!

Step-by-step explanation:

A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?

Answers

Answer:

5 balls

Step-by-step explanation:

Sorry if it's wrong.

If you sell 30 items at $200 a piece and your commission rate is 20%, how much commission do
you earn?
а
$600
b
C
$1,200
$120
$6,000
d

Answers

Answer:

$1200

Step-by-step explanation:

There are 2 ways I immediately think about to solving the problem.

1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)

This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).

2) You multiply 200 by .20 , then multiply the product by 30.

This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).

Answer:

$1200

Step-by-step explanation:

30*200 = 6000

6000 * 20% = 1200

For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Answers

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(x²–6x+6)

if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour

Answers

Answer:

37 km

Step-by-step explanation:

Answer:

37kph

Step-by-step explanation:

518/14=37

A yard contains 16 ounces. 9 ounces is what fraction of a pound?

Answers

9514 1404 393

Answer:

  9/16

Step-by-step explanation:

We presume an error in the problem statement. A yard is a measure of distance, not weight.

A pound contains 16 ounces. Then 9 ounces is 9/16 of a pound.

__

As a decimal fraction, that is 0.5625 lb.

What is 3x2 [-2 3 0. -4 2 6. 6 -5 6.]

Answers

Answer:

The correct answer is choice B. Have a good day!

Which angle is an adjacent interior angle?

Answers

4 is exterior and 3 is adherent interior angle to angle 4. Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In this case common vertex is N. Common side is LN. Good luck.

Can someone help me pls

Answers

Answer:

57°

Step-by-step explanation:

180-56=114

114÷2=57

Answer:

57°

Step-by-step explanation:

AO and BO are both the radius of the circle, so they are equal.  Since it makes an iscosoles triangle, angles A and B are equal.

180-66=114

114/2=57

Which number makes this equation true?

5 x (3 x 2)= 5 x ?

Answers

Answer:

6

Step-by-step explanation:

If the sum of six consecutive odd integers is 252, what is the smallest of the six integers?

Answers

Answer:

37  smallest number

Step-by-step explanation:

If your integer is x

The next 5 odd integers are:

x+2

x+4

x+6

x+8

x+10

x+x+2+x+4+x+6+x+8+x+10=252

6x+30=252

6x=252-30

6x=222

x=222/6

x=37

Name the solid that is formed from the net.
a. Square Pyramid
b. Triangular Pyramid
c. Triangular Prism
d. Cylinder
e. Rectangular Prism
f. Cone
g. Cube

Answers

rectangular prism? ..

Help me it’s really important

Answers

Answer:

Step-by-step explanation:

Quadratic equation has been given as,

[tex]y=-x^{2} +6x+4[/tex]

Converting this equation into vertex form,

[tex]y=-(x^{2}-6x)+4[/tex]

[tex]y=-[x^{2}-2(3x)+9-9]+4[/tex]

[tex]y=-[x^{2}-2(3x)+3^2]+4+3^2[/tex]

[tex]y=-(x-3)^2+4+9[/tex]

[tex]y=-(x-3)^2+13[/tex]

By comparing this equation with the vertex form of a quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the parabola → x = 3, y = 13

Axis of symmetry → x = 3

How much simple interest is earned on a principal of $700 after 5 years if the account pays 3% annually?

Answers

Answer:

21.15

Step-by-step explanation:

700 + 5 = 705

3% of 705 = 21.15

joption
[tex]x \sqrt{?} [/tex]

Answers

Answer:

???

Step-by-step explanation:


The diagonal length of a TV is 32 inches, and the height is 17 inches. How wide is the TV?
Pls

Answers

Answer:

7√15

Step-by-step explanation:

32²-17²=735

√735

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