Consider the piecewise function. f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus? Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus. Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus. Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus. Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.

Answers

Answer 1

Answer:

A) 2 9

Step-by-step explanation:

got it right on edge :) good luck!

Answer 2

Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.

The correct option is (A)

What is piecewise function?

Piecewise function is a function built from pieces of different functions over different intervals.

The given function is: f(x)= [tex]\left \{ {{2x, \;\; x < 1} \atop {-4, \;\; x=1} \right \atop {x+8, \;\; x > 1}[/tex]

As,  piecewise function is a function built from pieces of different functions over different intervals.

As per the above discussion we can say that,

Take function for limit 1 minus, as f(x)  = 2x

put x=1,

f(x)=2, exits.

Take function for limit 1 plus, as f(x)  = x+8

put x=1,

f(x)=9, exits.

As both satisfies the definition and part (A)

As well as both limit exist and are not equal.

So, Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus for the given f(x).

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Related Questions

1. Evaluate the following.
(a) 35 + 1​

Answers

35 + 1 = 36

(I feel so smart)

You have just finished investigating a disease outbreak at a summer picnic party. Out of 100 total attendees, a total of 50 individuals became ill. Of these, 48 individuals developed vomiting and nausea 4 to 6 hours after the picnic. No one developed a fever. Two elderly individuals, however, had complications leading to more severe form of the illness and had to be hospitalized. After the lab tests were conducted, the infectious agent was identified. The lab tests also revealed that 75% of all the individuals attending the party had been infected
What is the pathogencity of the infectious agent?
a. (2/50) * 100
b. (2/75) * 100
c. (50/75) * 100
d. (75/100) * 100
e. None of the above

Answers

Answer:

d. (75 / 100) * 100

Step-by-step explanation:

Pathogen is best described as cross contaminant which a bacteria or a virus that causes infection or disease in human. The lab tests confirms that total percentage of attendees who are infected by the disease is 75%. The total attendees were 100 out of which 75 had been infected and 50 demonstrated symptoms of the illness.

The equation y = 5x - 4 can be classified as what type of function?
O linear
O quadratic
O exponential
None of the others

Answers

I believe linear because the constant rate of change is 5

Find three ordered pairs
Y=5x-2

(1,_)(__,0)(3,__)

Answers

Answer:

1, 3

.4, 0

3, 12

Step-by-step explanation:

Answer:

(1,3) & (2/5,0) & (3,13)

Step-by-step explanation:

So, we substitute the values we know in.

For the first one:

y=5x-2

y=5-2

y=3

For the second one:

y=5x-2

0=5x-2

5x=2

x=2/5

For the third one:

y=5x-2

y=15-2

y=13

ALSO Can you pls pls pls pls help: https://brainly.com/question/23330137

the length is 3 inches less than twice the width and the permiter is 42 inches. Find dimensions

Answers

Answer:

Here

Step-by-step explanation:

length = x

width = 2x - 3

 

Perimeter = 2length + 2 width

2x + 2(2x - 3) = 42

2x + 4x - 6 =42

6x - 6 = 42

Add 6 to both sides

6x = 48

Divide both sides by 6

x = 8

 

Length = 8 inches

Width = 2(8) - 3 = 16-3 = 13 inches

Question 16, plz explain

Answers

Answer:

Step-by-step explanation:

If the radius of a circle is 5.75 mm, what is the diameter?

Answers

Answer:

d=11.5mm

Step-by-step explanation:

Solution

d=2r=2·5.75=11.5mm

Answer:

d = 11.5mm is the answer.

hope it helps

Solve for x. 3x/6+2=8 a. x=3 b. x=12 c. x=24

Answers

Answer:

x = 12

Step-by-step explanation:

[tex] \frac{3x}{6} + 2 = 8 \\ \frac{x}{2} = 8 - 2 \\ \frac{x}{2} = 6 \\ \frac{x}{2} \times 2 = 6 \times 2 \\ x = 12[/tex]

how many radians is 288

Answers

8π/5 radians

Hope this helped

in the expression 3y•10 what is coefficient

Answers

Answer:

3

Step-by-step explanation:

A coefficient is a numerical factor that contains a variable.

In this case, 3 is a numerical factor and contains a variable (y).

Hence,

3 is the coefficient of the expression.

The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is 1 centimeter:5 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answers

Answer:

[tex]625ft^{2}[/tex]

Step-by-step explanation:

First get the l by finding the square root of the area

[tex]\sqrt{25}[/tex] = 5cm

since             1cm = 5ft

what about   5cm =?

(5cm×5ft)/1cm

l=25ft

area of the actual floor is l × l

[tex]25^{2}[/tex]

which is [tex]625ft^{2}[/tex]

PLEASE HELP! the graphs below have the same shape. f(x)=x^2. what is the equation of the graph of g(x)

Answers

Answer:

D

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex: (−3,0)(-3,0)

Focus: (−3,14)(-3,14)

Axis of Symmetry: x=−3

Hope it helped :)

Rewrite the equation of the circle, x2 - 12x + y2 + 8y = -44, in standard form.

Answers

5x-5y=22
..........................

Select all the fractions that are equivalent to a whole number.

1. 9/3

2. -16/8

3. 7/0

4. -5/3

5. 0/5

Answers

3. 7/0

Why? Because 7/0 is the same as 7 which is a whole

Use English Alphabet, how many 6-character case-sensitive passwords are possible?​

Answers

Answer:

Step-by-step explanation:

like for your actual name spell is backwords and add the last 4 letters of the alphabet which W X Y Z

I hope that helped      :)

Simplify the slope of AC.
B (b,c) C (a+b, c)
Al(0, 0) D(a,0)
Enter the value that
belongs in the green box.
Slope Formula: x2=1
[?]
]+b
X2-X1

Answers

9514 1404 393

Answer:

  [tex]\dfrac{\boxed{c}}{a+b}[/tex]

Step-by-step explanation:

Using the given slope formula with points A and C, you find the slope to be ...

  [tex]\text{slope of $\overline{\text{AC}}$}=\dfrac{c-0}{(a+b)-0}=\boxed{\dfrac{c}{a+b}}[/tex]

The value in the numerator box will be c. The value in the denominator box will be a.

There are 24 pieces of fruit in the basket, 3 pieces are oranges. What fraction of fruit are oranges?

Answers

Answer:

1/8

Step-by-step explanation:

A runner charted how long it took her to run certain distances. Here is the
information she gathered:
Minutes
8
16 24
olo
Miles
1
At this pace, how long will it take her to run 4 miles?

Answers

Answer:

It will take her 32 minutes to run 4 miles.

Step-by-step explanation:

It takes her 8 minutes to run each mile, so [tex]8\times4=32[/tex]

It would take 32 minutes to run 4 miles.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let x represents the number of minutes and y represents the number of miles.

Slope  =2-1/16-8

=1/8

We have to find the y intercept

1=1/8(8)+b

b=0

y=1/8x is the equation.

We have to find the time taken to run 4 miles

So y=4

4=1/8x

x=32

Hence, it would take 32 minutes to run 4 miles.

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A six-sided number cube is rolled 350 times and the results are recorded as follows: 58 ones, 63 twos, 52 threes, 61 fours, 60 fives, and 56 sixes. What is the experimental probability of rolling a five? Round to the nearest whole percent if necessary.
A) 83%
B) 93%
C) 7%
D) 17%

Answers

Answer:

The Answer is A. 83%

Step-by-step explanation:

The Probability a certain event= 1- Probability of that certain event not to happen.

According to this, it is true that:

Probability (not rolling 5)=1- P(rolling 5) = 1=60/350= 1-6/35 =35-6/35=29/35=0.83

Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.

Answers

Answer:

B. Period 1 had scores that were less spread out around the mean than

Period 2

Step-by-step explanation:

Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.

HELP HELP PLEASE I BARELY HAVVE ANYTIME LEFT PLEASE HEL;P ME OUT

Answers

1/4

Step-by-step explanation:

I used points (4,2) and (8,3).

Work is apreciated! If you could also say what shape this is with the formula also!

Answers

Answer:

[tex] \displaystyle V_{ \text{H - prism}} = 351 {yd}^{3} [/tex]

Step-by-step explanation:

we are given a hexagonal prism

we want to figure out the Volume

remember that,

[tex] \displaystyle V_{ \text{H - prism}} = {a}^{} sh[/tex]

where a is the asymptote ,s is the side length and h is the height

given that,s=9,a=7.8 and h=5

substitute:

[tex] \displaystyle V_{ \text{H - prism}} = {7.8}^{} \times 9 \times 5[/tex]

simplify multiplication:

[tex] \displaystyle V_{ \text{H - prism}} = 351[/tex]

hence the Volume of the given figure is 351 yd³

Gretchen measured the length of her toaster to the nearest half inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found that it measured 9 1/4 inches. Who used a more precise measurement?

Answers

Steve
Hope this helps :D

I need help on this question

Answers

Answer:

A C E

Step-by-step explanation:

choose me as the brainliest!


An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population of normal adults. Find the sample size necessary to estimate the
mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 7 IQ points of the true mean. Assume that o = 19 and
determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.

Answers

Step-by-step explanation:

To solve this question, we use this formula:

x± s t_(1−c)/2 / √n = 5

(1 - c)/2 = (1 - 0.95) / 2 = 0.025

Using a t score calculator at this value, at the 95% confidence internval,

t = 0.5080, So

100 - 19(0.5080) / √n = 5

Solving for n

n = 97

a) 97

b) yes

The area of the figure is *blank* square units.

Answers

rectangle: 2 * 3 = 6
triangle: base = 2; height = 2
2*2/2 = 2
final = 6+2
Answer is 8 units

Can you plz answer this question I need it ASAP

Answers

Step-by-step explanation:

[tex]v = l \times w \times h \\ v = 4 \times 3 \times 5 \\ v = 60 {m}^{3} [/tex]

Which division expression could this model represent?

3 ÷ 0.25
3 ÷ 2.5
0.25÷3
3 ÷ 25

Answers

Answer:

[tex]3 ÷ 0.25 \\ where \: 0.25 = \frac{1}{4} [/tex]

Answer:

A. 3 divided by 0.25

Step-by-step explanation:

There are three whole grids, divided into quarters. 0.25 = 1/4

What ordered pairs are the solutions of the system of equations shown in the graph below

Answers

solutions are the points where there is intersection of the two curves.
(1,-4)
(4,-7)

What is the greatest common factor of 15 and 10?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 is the right answer...I hope this helps you :)

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