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3 years ago

Multiplying binomials (×+2) (×-9)

Mathematics

1 answer:

musickatia [10]3 years ago

7 0

Answer:

x² -7x -18

Step-by-step explanation:

In algebra, a binomial consists solely of a sum or subtraction of two monomials.

To solve the multiplication of two binomials we have to multiply term by term and then simplify common terms.

(x + 2)(x - 9) = x(x) + x(-9) +2(x) + 2(-9) = x² -9x + 2x -18 = x² -7x - 18

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Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

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3 years ago

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I know this is an exponential function based on the fact the f(x) multiplies. But how do I get an equation from the table? I wil

almond37 [142]

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Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads

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Check: Check your answer in the original equation.

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Step 2: Take the common log of both sides:

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3 years ago

Amy and her brother get the same allowance. Amy saved 1/5 and her brother 4/5 of his allowance. How much more did her brother sa

Anon25 [30]

Answer:

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Step-by-step explanation:

Step one:

given data

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Required

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Step two:

let us subtract Amy's savings from her brother's

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3 years ago

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Andreyy89

Answer:

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Step-by-step explanation:

3 - (2x - 5) < -4 (x+2)

distribute

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add the numbers

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move the x

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3 years ago

What is the median of this data set 17,42,53,97,102,82

Zina [86]

67.5 ... Hope I helped! :D brainliest?

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3 years ago

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