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noname [10]
3 years ago
14

If a storm window has an area of 315 square inches, which equation can be used to find the dimensions when the window is 6 inche

s higher than it is wide (x represents height)?
Mathematics
2 answers:
rjkz [21]3 years ago
8 0

Let x represents the height of the window

So width of the window will be (x-6)

Area of the storm = (h )(w)

315 = x(x-6)

315 = x^{2} - 6x

x^{2} - 6x - 315 = 0

Factors of the above equation will be

(x - 21)(x +15) = 0

x - 21 = 0 ⇒ x = 21 in

x + 15 = 0 ⇒ x = -15 in

We can not consider negative value as height never be negative.

So height = 21 in

Width = x - 6 = 21 - 6 = 15 in

Alex17521 [72]3 years ago
6 0
Im not entirely sure but wouldnt the equation be (x)(x-6)?
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Step-by-step explanation:

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3 years ago
) How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?
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Question:

A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01

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Answer:

51.65 kilowatt hours

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We are given the equation line of best fit for this data as:

y = 2.26x + 20.01

On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:

Let x = 14 in the equation.

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3 years ago
Question 2 - Signal and System Properties. State whether each of the statements is true or false. Note that a statement is true
gregori [183]

Answer:

  (a) true

  (b) true

  (c) false; {y = x, t < 1; y = 2x, t ≥ 1}

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Step-by-step explanation:

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This equation matches the form of a function periodic with period 2T.

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(b) A system being linear means the output for the sum of two inputs is the sum of the outputs from the separate inputs:

  s(a) +s(b) = s(a+b) . . . . definition of linear function

Then if a=b, you have

  2s(a) = s(2a)

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(c) The output from a time-shifted input will only be the time-shifted output of the unshifted input if the system is time-invariant. The problem conditions here don't require that. A system can be "linear continuous time" and still be time-varying.

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4 years ago
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