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Varvara68 [4.7K]
3 years ago
14

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},

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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.

3 0
3 years ago
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Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads

Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..

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
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Answer:

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Step-by-step explanation:

Step one:

given data

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3 years ago
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Andreyy89

Answer:

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

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