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Schach [20]
3 years ago
8

3 (3x − 2) = 64.0 + 40 does this equation have zero solutions?

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

Answer:

No, it does have a solution. x is 12 2/9.

Step-by-step explanation:

What we know:

The equation shown is 3(3x - 2) = 64 + 40, which becomes 3(3x - 2) = 104.

To figure out x:

3(3x - 2) = 104

3x - 2 = 104/3

3x = 104/3 + 6/3

3x = 110/3

x = 110/9 = 12 2/9

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What is the expression in factored form?<br> 9x^2-4<br><br> show all work
ziro4ka [17]

Answer:

(3x+2)(3x-2)

Step-by-step explanation:

we know that

A binomial is a Difference of Squares if both terms are perfect squares

we have

9x^{2} -4

so

9x^{2}=(3x)^{2} ---> is a perfect square

4=(2)^2 ----> is a perfect square

Both terms are perfect squares

The difference of squares is

9x^{2} -4=(3x+2)(3x-2) ----> by difference of squares

7 0
3 years ago
Evaluate the following expression at x =-7 and y = - 6 <br> -4x + 8y - 2
Assoli18 [71]

Step-by-step explanation:

this is the solution of your question

4 0
3 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
Whats the square root of 7? Nearest to 0.05.​
Bess [88]

Answer:

2.64575131 is the exact

Step-by-step explanation:

8 0
4 years ago
For all real numbers, x^2 ≥x.
BlackZzzverrR [31]
1/2 because it is a fraction
8 0
3 years ago
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