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Ronch [10]
2 years ago
11

If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2.

Mathematics
1 answer:
eduard2 years ago
3 0

Answer:

D. 104

Step-by-step explanation:

y \:  \alpha  \:  \frac{1}{ {x}^{2} }  \\  \\ y =  \frac{k}{ {x}^{2} }

when y is 26, x is 4:

26 =  \frac{k}{ {(4)}^{2} }  \\ k = 416

when x is 2:

y =  \frac{416}{ {x}^{2} }  \\ \\ y =  \frac{416}{ {(2)}^{2} }  \\ y = 104

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Homework ree
umka21 [38]

Answer:

325 miles and 77 dollars

Step-by-step explanation:

First, create equations. Let x equal the miles driven. The first plan expression  is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.

The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77

6 0
3 years ago
If x=9 and y=−3, evaluate the following expression:7(2x−3y)​
LuckyWell [14K]

Answer:

189

Step-by-step explanation:

You can replace the values of x with 9 and the values of y with (-3).

7(2x-3y) = 7(2 × 9 - 3 × -3)

             = 7(18 - -9)

             = 7(18+9)

             = 7 × 27

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7 0
3 years ago
Read 2 more answers
The graph below does not represent a function. Explain why.
Simora [160]

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.

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3 years ago
Internet access vs. preferred method to communicate with friends
pav-90 [236]

Answer: C)

Step-by-step explanation:

7 0
3 years ago
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frutty [35]

Answer:

9

Step-by-step explanation:

If A = - 3, than A^2 is equal to (-3)^2

If a number is squared (to power of 2), it is multiplied by itself (there are two of that number being multiplied together) so it is - 3x-3

-3 x - 3 = 9,

Because 3x3 =9 and a negative multiplied by a negative makes a positive.

Hope this helped!

7 0
3 years ago
Read 2 more answers
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