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I am Lyosha [343]
3 years ago
10

2. For the function y = 1/2x + 6, if the input is x = -4, the output is y =

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

y = \frac{-1}{2}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given the function

             y = \frac{1}{2x +6}

    Put x =-4 in given function

            y = \frac{1}{2(-4) +6} = \frac{1}{-8+6}  = \frac{-1}{2}

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Answer:

*See below*

Step-by-step explanation:

<u>Identify and Explain Error</u>

The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.

<u>Correct Work/Solution</u>

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Let's start by removing $55 from $150 to see how many dollars is left over for gas.

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Then, divide 95 by 0.5

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<u>Share Strategy</u>

Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.

Note:

Hope this helps :)

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7 0
2 years ago
Question 12 (1 point)
Paraphin [41]
<h3>Answer:   5</h3>

=================================================

Explanation:

Let's consider the expression (x-y)^2. It expands out to x^2-2xy+y^2. The terms are:

  • x^2
  • -2xy
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Each of those terms either has a single variable with an exponent of 2, or has the exponents add to 2. Think of 2xy as 2x^1y^1.

In short, this means that the degree of each monomial term is 2.

----------

Now consider (x-y)^3. It expands out into x^3-3x^2y+3xy^2+y^3.

We have terms that either have a single variable and the exponent is 3, or the exponents add to 3. The degree of each term is 3.

----------

This pattern continues.

In general, for (x-y)^n, where n is any positive whole number, the degree of each term in the expansion is n. If you picked any term, added the exponents, then the exponents will add to n.

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18 is the diameter so you divide by 2 to get the radius which will be 9.

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