All categories

3 years ago

Consider the following graph of a piecewise-defined function.

Mathematics

2 answers:

vitfil [10]3 years ago

5 0

Answer:

Step-by-step explanation:

When x<-2, f(x)=5

When -2<x<3, f(x)=2x+2

When x>3, f(x)=-3

Anestetic [448]3 years ago

5 0

Answer:

Step-by-step explanation:

Given is a graph of piecewise function.

We are given a horizontal line for

$x$

Hence $f(x) = 5, x$ ... I

Whenever

$-2\leq x$ , the graph is a line passing through (-2,-2) and (3,8)

Hence using two point equation we get

$\frac{y+2}{8+2} =\frac{x+2}{3+2}\\5(y+2)=10(x+2)\\y=2x+2$ ...II

Again for

$x>3\\y=-3$ ... III

I,II and III together give the piecewise funciton

You might be interested in

The vectors <4,2> and <-4,-2> are opposite directions and are orthogonal to the vector u = <2,- 4>. That’s bec

Naddik [55]

This is true since the dot product is zero

5 0

2 years ago

Is 8(a+b) and (6a+3b)+2b equivalent

miv72 [106K]

Answer:

Step-by-step explanation:

8a+8b are not equivalent 6a+5b

5 0

2 years ago

Is 5 in the solution set of x+3>8

Irina-Kira [14]

Answer:

It 5 would not be x

Step-by-step explanation:

If 5 was x, then it would be equivalent, because 5+3 = 8. I hope this helped.

8 0

2 years ago

Read 2 more answers

To watch the video

Anettt [7]

Answer:

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Step-by-step explanation:

Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.

Initial velocity u with which the ball is projected upwards = + 120 ft/s

Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²

The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.

Using the formula:

v² - u² = 2 a h,

where

u = initial velocity of the ball = +120 ft/s

v = final velocity of the ball at the highest point = 0 ft/s

a = uniform acceleration acting on the ball = -32 ft/s²

h = height attained

Substituting the values we get;

0² - 120² = 2 × (- 32) h

=> h = 120²/2 × 32 = 225 feet

The height of the ball from the ground at its highest point = 225 feet + 12 feet = 237 feet.

7 0

2 years ago

For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.

Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 120, \sigma = 8$