1 year ago

Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!

Mathematics

1 answer:

patriot [66]1 year ago

6 0

Step-by-step explanation:

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What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?

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I hope this helps you

x'=1 y'=4 slope = -3

slope. (x'-x)=y'-y

-3. (1-x)=4-y

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2 years ago

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1 year ago

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2 years ago

The U.S. Bureau of the Census predicted that the population of Pennsylvania would be about 12.7 million in 2010 and then would i

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2 years ago

Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

$\frac{d^{2}A}{dx^{2}} = -2$

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

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2 years ago

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