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3 years ago

What's the product of these binomials (x-9) (x+2)

Mathematics

2 answers:

Brums [2.3K]3 years ago

6 0

Answer:

x² – 7x – 18

Step-by-step explanation:

stellarik [79]3 years ago

3 0

Answer:

$(x-9)*(x+2)=x^2 - 7x -18$

Step-by-step explanation:

Let's find the solution, but first we need to understand the following:

multiplication of binomials establish that:

$(a-b)*(c+d)=(a*c) + (a*d) + ((-b)*(c)) + ((-b)*(d))$

now, because your binomials are (x-9) and (x+2), using the above we obtain:

$(x-9)*(x+2)=(x*x) + (x*2) + ((-9)*x) + ((-9)*2)$

which can be simplified as:

$(x-9)*(x+2)=x^2 + 2x - 9x -18$

giving the solution:

$(x-9)*(x+2)=x^2 - 7x -18$

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3 years ago

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lana [24]

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3 years ago

Read 2 more answers

Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard

Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean $\mu$ and standard deviation $\sigma$

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: $\mu_{V} = 525, \sigma_{V} = 100$ .

Math: $\mu_{M} = 575, \sigma_{M} = 100$

Combined:

$\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100$

$\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141$

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

6 0

3 years ago

The set of all months that contain less than 31 years

ale4655 [162]

The set of all months that contains less than 31 days is; {February, April, June, September, November}.

<h3>What is the set of all months that contain less than 31 days?</h3>

It follows from the task content that the set whose elements are to be determined is characterized by containing less than 31 days.

On this note, it follows that the elements of the set are; February (28/29 days), April (30 days), September (30 days), June (30 days) and November (30 days).