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Sloan [31]
3 years ago
13

D dollars for 18.4 quarts 24 dollars for 6 quarts

Mathematics
1 answer:
kozerog [31]3 years ago
7 0
The answer is:
d/24 = 18.4/6 
<span>d = (18.4/6)24 </span>
<span>d = 73.6 </span>
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The table represents some points on the graph of a linear function.
Sunny_sXe [5.5K]

Answer:

B. -\frac{9}{2}

Step-by-step explanation:

Rate of change of y with respect to x, can be calculated using any two of the pairs of values of the table, say, (-2, 12) and (0, 3).

Rate of change = \frac{y_2 - y_1}{x_2 - x_1}

Let,

(-2, 12) = (x_1, y_1)

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Plug in the values

Rate of change = \frac{3 - 12}{0 - (-2)} = \frac{-9}{2} = -\frac{9}{2}

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2 years ago
Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ
irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).

Then after solving, it become and with theorem it says that the

\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

brainly.com/question/15409558

#SPJ4

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First divide both sides by 12 so u get 5x -4.5 = 3. Now add 4.5 to both sides and u get 5x = 7.5. Now divide 7.5 by 5 and u get 1.5
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Option 4 I believe !
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