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Travka [436]
3 years ago
15

Plot the x- and y- intercepts of the function.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer:

y intercept = -2

x intercepts = -2,-1,1

Step-by-step explanation:

f(x) = x^3 + 2x^2 -x-2

Set this equation equal to zero to find the x intercepts.

Factoring by grouping

0 =x^3 -x   +2x^2 -2

   = x( x^2-1) +2(x^2-1)

Factoring out the (x^2-1)

0= (x^2-1) (x+2)

Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)

0 = (x-1) (x+1) (x+2)

Using the zero product property

x-1 = 0  x+1  = 0  x+2 =0

x=1,  x=-1   x=-2

The x intercepts are -2, -1, 1


To find the y intercepts, set x=0

y = x^3 + 2x^2 -x-2

y = 0 -2

y = -2


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A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d
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Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

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To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

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Hypotenuse^2=10^2+8^2

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Taking square root both sides.

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This is a very common word used in mathematics and stadistics to refer to the mean value in a set of values.

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Add the pages the person read these days and then divide by 5 (total of days).

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Learn more about average in: brainly.com/question/2426692

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