Which peicewise function is shown in the graph?​

Which Peicewise Function Is Shown In The Graph?

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

From the graph of the piecewise function,

There are two pieces of the function,

1). Segment (1) having x < 0

2). Segment (2) having x ≥ 0

Segment (1),

Segment starts with a hollow circle at x = 0 and passes through two points (0, 1) and (-2, 2)

Slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                     = [tex]\frac{2-1}{-2-0}[/tex]

                                     = [tex]-\frac{1}{2}[/tex]

Equation of the segment passing through (-2, 2) with slope = [tex]-\frac{1}{2}[/tex],

[tex]y-y'=m(x-x')[/tex]

[tex]y-2=-\frac{1}{2}(x+2)[/tex]

[tex]y=-\frac{1}{2}x-1+2[/tex]

[tex]y=-\frac{1}{2}x+1[/tex]

[tex]y=-0.5x+1[/tex] For x < 0

Segment (2),

Segment starts with a solid circle at x = 0 and passes through (0, -2) and (2,2)

Slope of the segment = [tex]\frac{2+2}{2-0}[/tex]

                                    = 2

Equation of the segment passing through (0, -2) and slope = 2,

y - y' = m(x - x')

y + 2 = 2(x - 0)

y = 2x - 2 For x ≥ 0

Therefore, Option (1) will be the correct option.


Related Questions

what is the answer to 3x + 2(4x − 6) = 8x + 1

Answers

x = 13/3 = 4.333 !!!!!!!!!

Answer:

x=13/3

Step-by-step explanation:

find the profit on 6000 for one year at 4% per annum

Answers

Answer:

240 dollars.

Step-by-step explanation:

I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:

[tex]6000 \cdot (1 + 4%) - 6000[/tex]

[tex]= 6240 - 6000[/tex]

[tex]= 240[/tex] dollars

Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.

Hope this helped!

Answer:

$240

Step-by-step explanation:

4% of $6000 = $240

Given the following quadratic equation: 0 = (x - 8) (3x - 5)

Find the solutions (Show all work) need help please

Answers

Answer:

x=8

x=5/3

Step-by-step explanation:

evey bracket equal =0 to get solution

x-8=0

x=8

3x-5=0

3x=5

x=5/3

Answer:

x=5/3 or x=8

Step-by-step explanation:

0=3x^2-29x+40

-3x^2+29x-40=0

(3x-5)(x-8)=0

-3x+5=0 or x-8=0

x=5/3 or x=8

What is the maximum number of right angles that can be contained in a
triangle?
O A. 3
OB. O
O c. 1
OD.2

Answers

Answer:

ONE...

total of three angles that add up to 180

if you had a second, that would be 180 none left for the third angle

Step-by-step explanation:

A group of 5 friends shares 35 pieces of candy equally. How many pieces of candy does each friend receive?​

Answers

Divide total pieces of candy by total people:

35 / 5 = 7

Each person receives 7 pieces of candy

Answer:

7

Step-by-step explanation:

35 divided by 5 equals 7

Sandra went to the grocery store with $25 to buy fruit. If she spent $12 on apples and $8 on bananas, which set of equations could be used to find the amount of money Sandra had left?
A. 25 - 12 = 13
13 + 8 = 21
B. 25 + 13 = 38
38 - 8 = y
C. 20 - 8 = y
y + 25 = 37
D. 12 + 8 = 20
25 - 20 = y

Answers

Answer:

D

Step-by-step explanation:

She spent $12 and *$ on two separate things, meaning she spent $20 on both.

So, 12 + 8 = 20.

If she started with 25, we subtract 20 from 25 to get how much she has left.

So, 25 - 20 = y.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

I agree with the previous answer, it's D.

Sandra spent $12  on apples and $8 on fruit, so you would add.

That's $20, so to find out how much money she has left you do 25 - 20.

Mrs. Clever rolls a number cube once.
x
1 5.
What is the probability of a 4 being on top?
A. O out of 6
B. 1 out of 6
C. 3 out of 6
D. 4 out of 6
חד
6 out of 6

Answers

Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

Add the Integers
2+(-2)

Answers

Answer:

0

Step-by-step explanation:

2+(-2) is basically 2-2 which is 0

For what values of b will F(x) = logo x be a decreasing function?
A. b>0
B. 0 C. b< 0
D. O >b>-1

Answers

[tex]f(x) = \log_b(x)[/tex] is a decreasing function when [tex]0 < b < 1[/tex]

This is because we can use the change of base formula to say

[tex]\log_b(x) = \frac{\log(x)}{\log(b)}[/tex]

If b is between 0 and 1, not including either endpoint, notice how the log(b) term is negative.

For example, if b = 0.5, then log(b) = log(0.5) = -0.301 approximately. I'm using log base 10 to get log(0.5) = -0.301

So for b = 0.5, we have,

[tex]\log_{0.5}(x) = \frac{\log(x)}{\log(0.5)} \approx \frac{\log(x)}{-0.301} \approx -3.322\log(x)[/tex]

The log(x) part on its own is always increasing. The negative coefficient out front flips it to always decreasing.

By applying the behavior rules we notice that the expression [tex]F(x) = \log_{b} x[/tex]decreasing function if the base of the logarithm is 0 < b < 1. (Correct choice: D) #SPJ5

How to define the behavior of a logarithm

Logarithms are trascendent functions whose form is defined by the following expression:

[tex]\log _{b} x[/tex] such that [tex]x = b^{a}[/tex], where b > 0.

Where b is the base of the power.

Whose rules are described below:

The logarithm is an increasing function if its base is less than 1.The logarithm is a decreasing function if its base is greater than 1.

By applying the behavior rules we notice that the expression [tex]F(x) = \log_{b} x[/tex] is a decreasing function if the base of the logarithm is 0 < b < 1. (Correct choice: D)

Remark

The statement is poorly formatted and reports several mistakes. Correct form is shown below:

For what values of b will [tex]F(x) = \log_{b} x[/tex] be a decreasing function?

A. b > 0

B. 0

C. b < 0

D. 0 < b < 1

To learn more on logarithms, we kindly invite to check this: https://brainly.com/question/20785664 #SPJ5

PLZZ HELP WILL BRAINLIEST IF CORRECT!!!!

1. Andrea says that there are less numbers to the left side of 7 because the box plot is shorter on that side. Is she correct? Explain your reasoning,

2. Amber says that the data set is left-skewed because the box is farther to the left on the number line. Is she correct? Explain how you know.​

Answers

Answer:

Both are wrong

Step-by-step explanation:

Though the box is shorter on the left side, it doesn't mean there are fewer numbers. Box plot tells the range, and not the mode. The box plot tells us that the interquartile range is higher on the right side.

Amber is wrong since the box plot is right-skewed

Pls vote as brainliest

We can conclude that:

1. Andrea is wrong, box plot doesn't imply mode.

2. Amber is wrong, the box plot is right-skewed.

What is a Box Plot?

A box plot shows how a data is distributed or spread out.

If a data distribution is right-skewed, the median which is indicated by the vertical line that divides the rectangular box would be closer to the lower end of the box, and also if it has a shorter whisker to the left.

Also, if a data distribution is left-skewed, the median would be closer to the upper end of the box, and also if it has a shorter whisker to the right of the box.

The box plot shown is right-skewed.

Thus, we can conclude that:

1. Andrea is wrong, box plot doesn't imply mode.

2. Amber is wrong, the box plot is right-skewed.

Learn more about box plot on:

https://brainly.com/question/14277132

Find the area of the triangle. Round your answer to the nearest tenth.
B
54 yd
270
А
54 yd
с
a. 742.9 yd?
b. 1,458 yd?
C. 1,323.8 yd?
d. 661.9 yd?

Answers

Answer:

here is the answer bae. Feel free to ask for more

(12 POINTS)If you can’t help out it would mean so much ty!!!

Answers

Pretty sure it’s the third one. It already says the initial height, 25 feet, so u plug that in for the third term. Although it says the initial speed of 70 miles per hour, you’re supposed to have it in feet per second as states in the first part. To turn 70 miles to feet, multiply by 5280. This gives you 369600 feet. It also needs it in seconds, not hours. So divide 369600 by 60 as there are 60 seconds in an hour. You get 6160. Plug that in for the second term and u should get the third one.

Please help me solve my problem!!!

Answers

Answer:

360°

Step-by-step explanation:

360°

Answer:

360 degrees

Step-by-step explanation:

For a polygon of n sides, the sum of the measures of the interior angles is

(n - 2)180.

A quadrilateral has 4 sides, so n = 4.

(4 - 2)(180) = 2(180) = 360

Answer: 360 degrees.

Let g be the function defined by g(x) = x3 + x. If f(x) = g-1(x) and f(2) = 1, what is the value of f ′ (2)?

Answers

Answer:

f'(2) = 1/4

Step-by-step explanation:

We know that:

g(x) = x^3 + x

and f(x) is the inverse function of g(x), such that:

f(2) = 1

this is because:

g(1) = 1^3 + 1 = 2

We want to find:

f'(2)

The general formula for this case is:

if f(x) is the inverse of g(x)

and f(x) = y

then:

f'(y) = 1/g'(x)

Then in this case,

f'(2) = 1/g'(1)

so we just need to differentiate g(x)

g'(x) = 3*x + 1

and:

g'(1) = 3*1 + 1 = 4

Then:

f'(2) = 1/g'(1) = 1/4

f'(2) = 1/4

These trapezoids are similar. Which of the following is the correct similarity statement?

Answers

i’m sorry i can’t help l need a picture

Which 2 options are correct?

Answers

Answer:

A,C

Step-by-step explanation:

i took the test

What’s the perimeter of the pentagon

Answers

Answer:

74 cm

Step-by-step explanation:

Perimeter Pentagon = 48 + (38 - 12)

48 + 26 = 74

74 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Use the number line to find the measure of SV please help

Answers

Answer:

8

Step-by-step explanation:

count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length

Answer:

S= -7 to V= 1 so your answer is 8

Rationalise the denominator and simplify:

7/√7

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]

[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]

[tex] = √7[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Step-by-step explanation:

Given,

7/√7

The denominator is √7.

We know that

Rationalising factor of √a is √a.

Therefore, the rationalising factor of √7 is √7.

On rationalising the denominator them

=> (7/√7) × (√7/√7)

=> 7(√7)/(√7 × 7)

=> 7√7/7.

Hence, the denominator is rationalised.

3y - 5 (2x + 3) - 12

Answers

-10x + 3y -27
hope this helps :)

Answer:

The answer is 3y - 10x - 27

Given circle and circle with radii of 6cm and 4cm respectively.




Compare the length of EF and GH.




The length of EF is ____the length of GH



The length of EF is___



The length of GH is ___

Answers

Solution :

Given that :

The radius of circle A = 6 cm

The radius of circle C = 4 cm

In circle A

[tex]\angle EAF = \theta = 140^\circ[/tex]

The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 14.653 cm

In circle C

[tex]\angle GCH = \theta = 140^\circ[/tex]

The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]

                                   [tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]

                                    = 9.769 cm    

Therefore,

The length of EF is 14.653 cm

The length of GH is 9.769 cm

The length of EF is  1.5 times the length of GH

i.e.                   14.653  = 1.5 x 9.769

                       14.653 = 14.653

Hence proved.

                             

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Answers

Answer:

Step-by-step explanation:

sorry dont know ut

I believe the answer is D

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPP

Answers

Angle 3 is 128, since they’re vertical angles. Angles 2 & 4 are 52, as 180 minus 128 is 52, and both 2 & 4 are also their own vertical angles.

So,

1 = 128
2 = 52
3 = 128
4 = 52

Find the value of x in the isosceles triangle shown below.

Answers

x²+16=20
x²=4
x=sqrt(4)
x=2

Hope this helps!!


This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm

Answers

Answer:

[tex]18cm[/tex]

Step-by-step explanation:

A of triangle =

[tex] \frac{1}{2} bh[/tex]

[tex] \frac{1}{2} \times 9 \times 8[/tex]

[tex] = 36cm2[/tex]

A of square=

[tex]s2[/tex]

[tex]36 = s2[/tex]

[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]

[tex]18cm = s[/tex]

Find the volume of each shape, please and I will give you a lot of points

Answers

Step-by-step explanation:

1.V=LWH L is the length, W is the width and H is the height.

12×6×3=216

2.V=Ah A is the area of the base, h is the height

18×16=288

3.V=LWH L is the length, W is the width and H is the height

10×14×5=700

Ill mark as brainiest :)

Answers

Answer:

1 ruler costs $0.60

Step-by-step explanation:

$20-$4.70=$15.30

Calculator =$7.50

3 Packs of Pens = $1.80 each

4 rulers= x each

$7.50 + 3($1.80) + 4x = $15.30

7.50 + 5.40 + 4x = 15.30

12.90 + 4x = 15.30

4x = 2.40

x = 0.60

A tiger eats about 15 pounds of food per day. A large dogs eats about 18 ounces of food per day. How many more pounds of food does a tiger eat per day?
A) 12 3_4pounds
B) 13 1_2pounds
C) 13 7_8pounds
D) 14 1_9pounds

Answers

Answer:

B

Step-by-step explanation:

C
There are 16 ounces in a pound, so a tiger eats 240 ounces. A tiger eats 222 ounces more than a large dog, which is equal to 13 7/8 pounds.
Hope this helps!!

help!! pls pls pls help!

Answers

Step-by-step explanation:

Going through this one by one, we can say:

For the first one ("Both functions are increasing on the interval (0, ∞)"), this does not need to be selected. Although h(x) increases as x increases, g(x) (the y value) decreases as the x value increases, or the graph moves to the right.

Next, we have "g(x) is increasing on the interval (-∞, 0)." The -∞ represents when x is at its lowest point, or the leftmost point possible for the curve. 0 represents the middle of the graph, cutting right through the y-axis. As g(x) is only increasing on negative values, this is true. It is important to note that the 0 has a parenthesis next to it, so the value 0 itself, where the graph is not increasing, is not included

After that, we have "The y-intercept of g(x) is greater than the y-intercept of h(x)." The y intercept is when x=0. For g(x), y=9 here, and for h(x), y=1. Thus, g(x) is greater, and this can be selected.

Furthermore, we have "The function h(x) represents a linear function." This means that for each value of x throughout the function, a change in x by 1 always results in the same change in y. When x goes from -1 to 0, h(x) increases by 0.75. When x goes from 0 to 1, h(x) increases by 3. Therefore, as 0.75 is not equal to 3, these are not the same.

Finally, the last statement is g(2) < h(2). As we can see on the graph, as x=2, the line is at g(x)  = 5. When x=2, h(x) is 16. As the value of h(x) (16) is greater than the value of g(x) (5) when x=2, this can be selected as well.

HELP!! I tried solving this and cant seem to get it right.

Answers

Answer:

x= 20

y = 10

Step-by-step explanation:

Angles 3x° and 60° are Corrosponding angles so they are equal:

[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]

Angles (5y-5)° and 135° are Cointerior so add to give 180°:

[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]

Substitute y and x into the respective formula's to get your angles.

Other Questions
Which is equivalent to 3V8^1/4xBROO SM PLS HELP Write about a person you know whose reputation does or does not reflect his or her true personality. Tell how the reputation affects this persons life How could you describe the value of using a correlation to examine your data? Angie __________ al mercado (it).A: vanB: vasC: vaD: vamos2) Nosotros _______ amigos. (ser)A: serB: somosC: sonD:es3) Angie y Gustavo _________ en Nueva York. (estar)A: estB: estamosC: estnD: estas4) Los estudiante y yo __________ a comer. (ir)A: vamosB: estarC: vanD: somos5) Ana y Elena ______ a viajar maana.(ir)A: sonB: vanC: vamosD: estn6) Yo voy ___ gimnasioA: aB: a laC: alD: van7) Tu vas ___ comer.A: aB: a laC: alD: van8) Nosotros vamos _____ escuelaA: aB: a laC: alD: van9) Ellos ____ al partido.A: aB: a laC: alD: van What is the most important theme of the story the dancing partner? what is the area of the rectangle?answers: 120 m 120 m2120m3120 cubic meters top of the rectangle: 12 m bottom of the rectangle:12 m side of the rectangle: 10 m side of the rectangle:10 m The sequence of events that results in a new equilibrium interest rate, after the Fed makes the change you selected, may be described as follows: Because there is ______________ money in the financial system, the quantity of interest-bearing financial assets such as bonds demanded _____________, which means that bond issuers __________________ sell the bonds. This process continues until the new equilibrium interest rate is achieved. Provide a detailed explanation of why meiosis is important in creating genetic variation in a population. Include details on how daughter cells receive genetic information and how they differ from parent cells. The function h is defined by h (x) = 3x2 + 7.Find h(5x).h (5x) = ? Ch n xng, th d dy ca chng tiu ho nh th no? The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.974 g and a standard deviation of 0.325 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 48 cigarettes with a mean nicotine amount of 0.918 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 32 cigarettes with a mean of 0.917 g or less. P(M < 0.917 g) = __________ You are to receive a cash flow of $1,500 two years from now. Once received, you will invest the money and earn a 10.5% return. What is the value of the investment in year 5? QUESTION 10 of 10: You've been meaning to fix those rotted boards on your porch for years. Finally, last week the deck gave way. Thereplacement will cost you $3,000. Will you be able to recover the cost of replacement (less your deductible) from your homeowner'sinsurance?O a) Yesb) No what is the Young's modulus of a perfect rigid body Please help Ill give brainliest The initial temperature of a solution was 16C. The temperature dropped 3C every minute. What was the temperature of the water after 15 minutes in C? Help plzzz plzzz asappp!!!! Please answer this correctly without making mistakes Why does Mo Yan not explore political issues in his Nobel speech?A. Because he isn't interested in political issuesB. Because he doesn't talk about political issues in his fictionC. There was no reason for thisD. Political issues are not appropriate for Nobel speechesNEED ASAP GIVING POINTS 11) Write the explicit formulafor the sequence below anduse it to find the 47th term:-3, 5, 13, 21,...