Can you answer the questions below

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.

I'm pretty sure that by the time you reach this problem, you've learned to find
the equation of a line that passes through two given points. You have two points: (2, 100) and (5, 205). The equation of the line through them is [ y = 35x + 30 ].

6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)

7). The cost per month is $35. (The slope of the line.)

8). We already did that, up above. [ y = 35x + 30 ].

9). 'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450

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Michelle's mother bought 7 large pizzas for her birthday party. Each large pizza is cut into eighths. if 5/8 of the total slices

nirvana33 [79]

So we know that there are 8 slices per large pizza (7), so a total of 56 slices
we would set up a proportion
5/8=x/56
8 times 7 gives you 56, and we would do that same thing to the 5 (multiply it by 7) to get 35?
so now we know that 35 out of 56 slices were eaten
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3 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

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3 years ago

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Answer:

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Step-by-step explanation:

Stepwise regression is a model which uses variables in step by step manner. The procedure involves removal or inclusion of independent variables one by one. It adds the most significant independent variable and removes the less significant independent variable. Usually stepwise selection uses R-square or Mallows Cp for picking the best fit.

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3 years ago

Which equation is equivalent to log^x36=2?

Dennis_Churaev [7]

The equation which is equivalent to $\log _{x} 36=2$ is $x^{2}=36$ or x = 6 ( $\log _{6} 36=2$ ).