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nydimaria [60]
3 years ago
11

H

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0

Answer:

3

Step-by-step explanation:

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Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.
alukav5142 [94]

Answer:

<u>The solutions to this quadratic equation are 10 and 3.</u>

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

 x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is  x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

<u>x₁ = 13 + 7/2 = 20/2 = 10</u>

<u>x₂ = 13 - 7/2 = 6/2 = 3</u>

8 0
3 years ago
0.33333333333333333333333333333333333333333333333 simplified at a fraction
USPshnik [31]

Answer:

\frac{1}{3}

Step-by-step explanation:

Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).

If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).

So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333

10x = 3.33333

-x = 0.333333\frac{10x = 3.33333  -x = 0.333333}{9x = 3}

---------------------------------------------------------------------------------------------

Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.

How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.

-------------------------------------------------------------------------------------------

<u>Simplify 3/9 into the lowest terms:</u>

\frac{1}{3}

4 0
3 years ago
What is the perimeter of a rectangle with a length of 23 mm and a width of 26mm
NISA [10]

Answer:98mm

Step-by-step explanation:

You add the length and width together and then multiply by 2

4 0
3 years ago
In a study about all terrain vehicle usage, the number of people using 4-wheelers is shown by age group.
DochEvi [55]

Answer:

44-55-0.243

33-37-0.343

6 0
3 years ago
A 90% confidence interval is (35 45). What is the margin of error?
MA_775_DIABLO [31]

Answer:

option A 5

I hope it's correct

.....

7 0
3 years ago
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