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QveST [7]
3 years ago
11

Factor the expressions.Step by step please. x^(2)+34x+120

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

(x+4)(x+30)

Step-by-step explanation:

when the equation is x^2+bx+c=0

-b is the sum of the zeroes and c the product

so -34=-30-4 is the sum of the zeroes

120=30*4 is the product

so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)

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Aliun [14]

Answer:

7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9

Step-by-step explanation:

There is no whole number, but there are decimals that fall in between 7 and 8.

~theLocoCoco

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Write or draw to explain a way to find each sum: 6+7, 8+4, 2+9
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a carpenter is cutting dowels from a piece of wood that is 10 inches long. how many 1/2 dowels can the carpenter cut?
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A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

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8 0
3 years ago
X2 +x − 4 = 0
Rus_ich [418]

Answer:

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  • x =  (-1 ±√17)/2

Step-by-step explanation:

The coefficient of x^2 is "a". That is 1.

The coefficient of x is "b". That is 1.

The constant term is "c". That is -4.

The values of a, b, and c are 1, 1, and -4, respectively.

_____

The solution is ...

  x = (-b ±√(b^2-4ac))/(2a)

Filling in the values of a, b, and c, this is ...

  x = (-1 ±√(1^2 -4·1·(-4)))/(2·1)

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3 0
3 years ago
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