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Sonja [21]
3 years ago
9

What is the first step in solving quadratic equations by finding square roots? a. give the positive and negative answer c. squar

e root both sides to isolate x b. isolate the x squared by using inverse operations d. none of these Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
daser333 [38]3 years ago
4 0

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

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A tank's length is 3 feet longer than its width. The height is 1 foot less than the width. The volume of the tank is 160 cubic f
Ivanshal [37]

Answer:

The width of the tank is <u>5 feet</u>.

Step-by-step explanation:

Given:

A tank's length is 3 feet longer than its width.

The height is 1 foot less than the width.

The volume of the tank is 160 cubic feet.

Now, to find the width of the tank.

Let the width of the tank be x.

So, length is x+3.

And, height is x-1.

The volume of tank = 160 cubic feet.

Now, to get the width we put formula:

Volume = length × width × height.

160=(x+3)\times x\times (x-1)

160 =x(x^2-x+3x-3)

160=x(x^2+2x-3)

160=x^3+2x^2-3x

<em>Subtracting both sides by 160 we get</em>:

0=x^3+2x^2-3x-160

x^3+2x^2-3x-160=0

Now, on solving the equation we get:

x=5.

The width = 5 feet.

Therefore, the width of the tank is 5 feet.

5 0
4 years ago
the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul
aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

\text{ P = P}_0e^{rt}

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}

Therefore, the population in 2022 will be approximately 6,063,646.

7 0
1 year ago
Which is the area of a rectangle with a length of 21 feet and a width of 15 feet?
MA_775_DIABLO [31]

Answer:

315

Step-by-step explanation:

Area = Length x Width

Area = 21 x 15

Area = 315

3 0
3 years ago
Read 2 more answers
Marsha gave the cashier $20 to pay for 3 pairs of socks the cashier gave her $5.03 in change. each pair of socks cost the same a
eduard

Answer:

$4.99

Step-by-step explanation:

20-5.03=14.97

14.97/3=4.99

5 0
3 years ago
Find the number of chips needed to make each rectangle prism
Tom [10]

1.

height= 3

length= 5

width= 4

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

3 x 5 x 4 = 60

We need 60 blocks

2

height= 4

length= 6

width= 4

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

4 x 6 x 4 = 96

We need 96 blocks

3

height= 2

length= 3

width= 4

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

2 x 3 x 4 = 24

We need 24 blocks

4

height= 4

length= 8

width= 6

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

4 x 8 x 6 = 192

We need 192 blocks

5

height= 2

length= 6

width= 4

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

2 x 6 x 4 = 48

We need 48 blocks

6

height= 1

length= 5

width= 3

The number of cubes would be the result of the multiplication of the side measures. Doing so, we have:

1 x 5 x 3 = 15

We need 15 blocks

7

5 0
2 years ago
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