All categories

3 years ago

What are the solution(s) to the quadratic equation 9x^2=4?

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

Answer:

x = 2/3 or x = -2/3

Step-by-step explanation:

Solve for x over the real numbers:

9 x^2 = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 9:

x^2 = 4/9

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

Answer:x = 2/3 or x = -2/3

You might be interested in

Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the followin

Artist 52 [7]

Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4

6 0

3 years ago

What is the slope of the line shown below?<br> y=1/3x-3

inysia [295]

Answer:

slope=1/3

Step-by-step explanation:

the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3

5 0

3 years ago

Factor the expression below. x2 - 4x + 4 A. 4(x2 - x + 1) B. (x - 2)(x + 2) C. (x + 2)(x + 2) D. (x - 2)(x - 2)

Tanzania [10]

Answer:

D. (x - 2)(x - 2)

Step-by-step explanation:

x2 - 4x + 4 = x² - 2x - 2x +4

= x(x-2) - 2(x - 2)

= (x-2)(x-2)

HINT: - 2x +4 = -2 * x + (-2) * (-2) = -2 ( x -2)

4 0

3 years ago

In football, the goal posts in the end zone are 7.11 meters apart.how many centimeters are in 7.11

aev [14]

Move the decimal right 3 times

4 0

3 years ago

To pay for a $23,700 motorcycle, Carmen made a down payment of $3900 and took out a loan for the rest. On the loan, she paid mon

kari74 [83]

Answer:

Carmen paid monthly payments of $438.27 for 4 years.

i.e.,

1 year = 12 months

4 year = 12 × 4 = 48 months

So,

438.27 × 48 = $21,036.96

Now, the total amount including down payment is,

$21,036.96 + $3900 = $24,936.96

Thus, The total amount Carmen ended up paying for the motorcycle (including the down payment and monthly payments) is $24,936.96.

Interest did Carmen pay on the loan,

$24,936.96 - $23,700 = $1236.96

Thus, The answer is $1236.96.

<u>-TheUnknownScientist</u><u> 72</u>

3 0

2 years ago

Read 2 more answers