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2 years ago

Consider function f.

Mathematics

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

x = 2, x = -1, x = -3

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

Given function

f(x)= x^3 + 2x^2 - 5x - 6

Finding zero's

x^3 + 2x^2 - 5x - 6 = 0
x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =
(x - 2)(x^2 + 4x + 3) =
(x - 2)(x^2 + x + 3x + 3) =
(x - 2)(x(x + 1) + 3(x + 3)) =
(x - 2)(x + 1)(x + 3)

Zero's are

x = 2, x = -1, x = -3

See the graph attached

Correct end behavior as per graph:

As x approaches negative infinity, f(x) approaches negative infinity

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When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t

labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval $(x_{s}, x_{f})$ will be given by the following equation:

$S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}$

In this problem, we have that:

$B(t) = 1000(1.02)^{t}$

Find the average rate of change in the balance over the interval t = 0 to t = 5.

$B(0) = 1000(1.02)^{0} = 1000$

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Then

$S = \frac{1104.08 - 1000}{5-0} = 20.82$

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

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3 years ago

Vertex of y=2x^2+4x-6

borishaifa [10]

Answer:

(-4) (0)

Step-by-step explanation:

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3 years ago

The art club makes 280 decorations in 3 and a half hours how many can they make per hour? Show work

hoa [83]

Divide the number of decorations made in 3 and a half hours by 3.5.
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3 years ago

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2 years ago

11. If you want to enlarge a square with area 36 square inches

larisa86 [58]

Answer:

e. 72 inches

Step-by-step explanation:

Well, firstly to find the lengths of the sides, we would have to find the square root of 36 (which is 6, as 6x6=36).

Now, if we enlarge the square by SF 3, the new side lengths would be 6x3=18 inches. That is only one side.

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2 years ago