All categories

3 years ago

For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.

Mathematics

1 answer:

12345 [234]3 years ago

3 0

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.

If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.

If x = 6, this would fall under the second part of the function because 5 $\leq$ x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.

You might be interested in

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

4 years ago

Write an equation of the line containing point (5,-4) and parallel to line x=2.

Nikolay [14]

X=5 because it is parallel to x=2 and also include the point (5,-4)

3 0

4 years ago

Find the slope of a line with these two points (-1,2) and (4,-3)

GenaCL600 [577]

Answer:

-1

Step-by-step explanation:

-3-2=-5

4-(-1)=5

-5/5 simplifies to -1

7 0

3 years ago

PLEASE HELP ME ASAP!!!!

kirill115 [55]

Answer:

y= 5x + 3

Step-by-step explanation:

This is because you solve for slope, which is 5, then plug that into point slope form to get:

y - 8 = 5(x - 1)

y - 8 = 5x - 5

y = 5x + 3.

6 0

3 years ago

Read 2 more answers

PLEASE HELP!! I need this done by tomorrow

gayaneshka [121]

1)
348•3=1044
1044+303= 1347

Answer- 1,347 calories

2)
348•5=1740
1740•6=10440
10440+390=10,830

Answer- 10,830 calories per week

3)
23.9•8=191.2
191.2+3.5=194.7

Answer- $194.70

4)
420•0.18=75.6
75.6+15=90.6

Answer- $90.60

5)
6•5=30
30+25=55

Answer- 55 minuets

3 0

4 years ago