3 years ago

I need help with the second one

Mathematics

1 answer:

labwork [276]3 years ago

8 0

the answer you're choosing is correct

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If I have an equation in which x = pounds, and y = total cost, can I substitute quarts into the equation

Colt1911 [192]

Answer:

Yes, you can

Step-by-step explanation:

As a point of reference, assume the equation is:

$y = 5x$

Where

$y = total\ cost$

and

$x = pounds$

In standard unit of conversion:

$1\ pound = 0.4793\ quart$

So:

$x\ pounds = 0.4793x\ quart$

Substitute 0.4793x for x in $y = 5x$

$y = 5 * 0.4793x$

$y = 2.3965x$

The above equation is the equivalent of $y = 5x$ in quarts

<em>So, irrespective of what the equation is, you can always substitute quarts into the equation.</em>

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3 years ago

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3 years ago

Find the average rate of change for f(x)=9x^2+3 over the interval [x,x+h].

butalik [34]

Answer:

$9h +18x$

Step-by-step explanation:

$\frac{f(x +h) -f(x)}{x+h -x} \\ \frac{9(x +h)^2 +3 -(9x^2 +3)}{h} \\ \frac{9(x^2 +2xh +h^2) +3 -9x^2 -3 }{h} \\ \frac{9x^2 +18xh +9h^2 +3 -9x^2 -3}{h} \\ \frac{9h^2 +18xh}{h} \\ 9h +18x$

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3 years ago