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ankoles [38]
2 years ago
6

Determine the factors of x2 − 8x − 12. (x − 6)(x 2) (x 3)(x − 4) prime (x 6)(x − 2)

Mathematics
1 answer:
Ivanshal [37]2 years ago
4 0

The polynomial cannot be factored in because it exists prime. Since 112 exists not a perfect square number so we cannot estimate the factors of the given equation.

<h3>What is a quadratic equation?</h3>

In a quadratic equation ax² + bx + c = 0

when (b² - 4ac) exists a perfect square only then we can factorize the equation.

In the given equation x² - 8x - 12 we have to determine the value of

b² - 4ac

From the equation, we get b = -8 and c = -12

b²- 4ac = (-8)² - 4(1)(-12)

= 64 + 48 = 112

Since 112 exists not a perfect square number so we can not estimate the factors of the given equation.

To learn more about quadratic equation refer to:

brainly.com/question/1214333

#SPJ4

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Answer:

4.5 \: miles

Step-by-step explanation:

3 \: miles \: in \: 28 \: minutes.

x \: miles \: in \: 42 \: minutes.

28x=42 \times 3

28x=126

\frac{28x}{28}=\frac{126}{28}

x=\frac{9}{2}

8 0
3 years ago
Read 2 more answers
Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,
il63 [147K]

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

4 0
3 years ago
The wheels on a car have a diameter of 28 inches. How many full revolutions will the wheels need to make to travel 200 feet?
rodikova [14]
Here we're interested in the circumference:  C = pi*d.  In this case C = 3.14*(28 inches) = 88 inches. 

Now divide this 88 inches into 200 feet to get the # of revolutions ncessary to travel 200 feet.

200 feet     12 in
------------ * --------- = 2400 inches
       1           1 ft

2400 inches
----------------------- = 27.2 revolutions   (answer)
[ 88 inches/ rev ]
4 0
3 years ago
Expressed<br> as a<br> decimal, 3% is<br> A<br> 0.03<br> B<br> 0.3<br> 3.0<br> D<br> 30.0
Gemiola [76]

Answer:

0.03

Step-by-step explanation:

3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.

8 0
3 years ago
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Solve. <br> (2/3) (1/4) =
stellarik [79]

You multiply the numerators (top numbers) and separately multiply the (bottom numbers) denominators.

numerator (top number): 2 * 1 = 2

denominator (bottom number): 3 * 4 = 12

Now, we have 2/12 which can be simplified to 1/6.

<h2>1/6</h2>
6 0
3 years ago
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