Find the output of the function y = x

55 points see attachment below

Ludmilka [50]

Answer:

f(3) = -20

Step-by-step explanation:

To find the value of a function, substitute the number for the variable and do the arithmetic.

f(x) = -2x^2 +x -5 . . . . . . given

f(3) = -2(3^2) +(3) -5 . . . . function value for x = 3

f(3) = -2(9) +3 -5 = -18 +3 -5

f(3) = -20

4 0

2 years ago

HELP ASAP!!! 40 POINTS

ICE Princess25 [194]

Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:

(-15,-10).

<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>

It is given by the derivative at x = x0, that is:

$m = f^{\prime}(x_0)$ .

In this problem, the function is:

$f(x) = 0.2x^2 + 5x - 12$

Hence the derivative is:

$f^{\prime}(x) = 0.4x + 5$

For a slope of -1, we have that:

0.4x + 5 = -1

0.4x = -6

x = -15.

For a slope of 1, we have that:

0.4x + 5 = 1.

0.4x = -4

x = -10

Hence the interval is:

(-15,-10).

More can be learned about derivatives and tangent lines at brainly.com/question/8174665

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8 0

2 years ago

Help please explain how?

Pani-rosa [81]

Starting from the half circle, the radius is 2, (from the other side of the figure) and using that, 2 x 2 = 4 x 3.14 (or pi) = 12.56. But, it's a half circle. So, 12.56 / 2 = 6.28.
One in the bag!
Going left, we have a rectangle. b x h = a. 6 x 8 = 48.
Done. (by the way, that's the enclosed space)
Finally, the triangle. The triangle's area is found by 1/2 x b x h. 1/2 x 2 x 6 = 6.

The full area of the figure is 60.28.

Hope this helped.

7 0

4 years ago

The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 4 days. Suppose that one indivi

Bezzdna [24]

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is 0.15866 , the minimum number for the upper quarter of the time to pass a kidney stone days is 14.4 .

<h3>What is Probability ?</h3>

Probability is the measure of likeliness of an event to happen

Let X denote the time to pass the kidney stone.

The random variable X follows normal Distribution

mean = 12 days days

standard deviation = 4 days

The distribution of X is X - N ( 12 , 4)

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is

P ( X > 16) = 1 - P( X ≤ 16)

= 1 - P( Z ≤ (16-12)/4)

= 1 - P ( Z ≤ 1 )

= 1 - 0.84134

= 0.15866

P( X < x₀) = 0.75

$\rm P ( \dfrac{x - \mu }{\sigma} < \dfrac{x_0 -13}{6}) = 0.75$

$\rm \phi (\dfrac { x_o - 12}{4}) = 0.75$

Using the excel function the z score for the area 0.75 is

z - score = 0.6745

$\rm \dfrac {x_o - 12}{4} = 0.6745$

x₀ = 0.6 * 4 + 12

x₀ = 14.4

To know more about Probability

brainly.com/question/11234923

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3 0

2 years ago

1. Are the polygons similar?

jeyben [28]

The polygons are similar.

This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below

35/28 = 1.25

25/20 = 1.25

(15.5)/(12.4) = 1.25

So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.

You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.

After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.

Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.

3 0

3 years ago

Find the output of the function y = x - 4 if the input is 21