For the piecewise function below, which of the following statements are true?

Please help will give brainlist if correct!

For The Piecewise Function Below, Which Of The Following Statements Are True?Please Help Will Give Brainlist

Answers

Answer 1

The correct option is (b) i.e. f(0) > f(2).

What is Domain?

The entire range of independent variable values is the domain of a function. In straightforward terms, this definition means The collection of all x-values that can cause the function to "work" and produce actual y-values is known as the domain.

We have,

f(x) =         (x+2)^2 - 1        ,  -4 ≤ x ≤ 0

                      -x + 1          ,  0 ≤ x ≤ 2

        5/2 log ( -x +5) - 1    , 2 < x < 5

Now, f(0) =   (x+2)^2 - 1  

               =   (0+2)^2 - 1

               = 4 - 1 = 3

Similarly, f(2) =  - x +1

                     = - 2 + 1

                     = - 1.

Hence, f(0) > f(2)  because 3 > -1.

∴ The correct option is (b).  

Learn more about Domain from the link given below:

https://brainly.com/question/2264373

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Related Questions

Write the equation of the graph.

Answers

Answer:

it is the bottom answer or if it was labeled it would be D.

254,817- 13?,125=118,692

Answers

Answer:

118,692

Step-by-step explanation:

Please fill in the blanks on the math problems.

Answers

Answer:

13) a and b,  b and c

14) a = 59°, b = 121°, c = 59°

15) a = 45°, b = 135°, c = 135°

16) a = 72°, b = 108°, c = 108°

what is 3/8 of 1/4??

Answers

Answer: 0.09375

Step-by-step explanation: divid 3/8 and 1/4 together and you get 0.09375

I need someone to hurty

Answers

Answer:

82.5

if its wrong sorry

hope this helps you ☺️☺️

82.5 I think have a nice day

Solve the equation for the value of x

-5x=35

Please show your work, thank you.

Answers

Answer:

-5x=35            divide both sides by 5

-x=7                multiply both sides by -1

x=-7

One side has answers 5 the other one is 7

12. Uche bought two books at A125 each. She was
given A1,000 note. What will be - her balance
amount?
A. N75 B. N100 C. N250
D. N750 E. 1000​

Answers

The answer is D N750

(10 pts) A four-lane freeway (two lanes in each direction) is located on rolling terrain and has 12-ft lanes, no lateral obstructions within 6 ft of the pavement edges, and there are 2 ramps within 3 miles upstream of the segment midpoint and 3 ramps within 3 miles downstream of the segment midpoint. A weekday directional peak-hour volume of 1800 vehicles (familiar users) is observed, with 700 arriving in the most congested 15-min period. Ifa level of service no worse than C is desired, determine the maximum number of heavy vehicles that can be present in the peak-hour traffic stream.

Answers

Answer:

309

Step-by-step explanation:

To determine the estimated free-flow speed

[tex]FFS = 75.4 -f_{LW}-f_{LC} - 3.22 TRD^{0.84}[/tex]

From the table "Adjustment for lane width," which corresponds to a lane width of 12 feet. As a result, [tex]f_{LW}[/tex] equals 0 mi/h.

Take the meaning from the table "Adjustment for right-shoulder lateral clearance," which corresponds to 6 feet of right shoulder lateral clearance and two lanes in one direction.

The [tex]f_{LC} = 0 mi/h[/tex]

[tex]FFS = 75.4 -0-0-3.22 ( \dfrac{5}{6})^{0.84}[/tex]

[tex]= 72.64 \ mi/h[/tex]

[tex]\simeq 73 \ mi/h[/tex]

Determine the peak-hour factor

[tex]PHF = \dfrac{V}{V_{15}\times 4} \\ \\ =\dfrac{1800}{700\times 4}\\ \\ = 0.6429[/tex]

Now, Find the heavy-vehicle adjustment factor.

[tex]v_P = \dfrac{V}{PHF\times N \times f_{HV}\times f_P} --- (1)[/tex]

Take the value for the 15-minute passenger car equivalent flow rate from the table "LOS requirements for freeway segments" for the FFS and LOS C conditions. The free-flow speed is estimated to be 73 miles per hour

[tex]v_p = 1735+ \dfrac{73-70}{75-70}(1775-1735)[/tex]

[tex]v_p = 1759 \ pc/h/In[/tex]

Think about for familiar users the value of f_p = 1.00

Replace all of the values obtained in (1)

[tex]v_p = \dfrac{V}{PHF \times N\times f_{HV}\times f_p}[/tex]

[tex]1759 = \dfrac{1800}{0.6429\times 2 \times f_{HV}\times 1}[/tex]

[tex]f_{HV} = \dfrac{1800}{0.6429\times 2 }\times \dfrac{1}{1759}[/tex]

= 0.795

Calculate the percentage of trucks and buses in the flow of traffic stream.

[tex]f_{HV} = \dfrac{1}{1+P_{\tau}(E_{\tau}-1) + P_R(E_R-1)}[/tex]

Take the values from the table "Passenger car equivalent for extended highway segments" referring to trucks and buses and rolling terrains for passenger car equivalent for trucks and buses and recreational vehicles. As a result, [tex]E_T[/tex] has a value of 2.5 and [tex]E_R[/tex] has a value of 2.0.

Since [tex]P_R[/tex] is zero and there is no recreational vehicle.

Then;

[tex]0.759 = \dfrac{1}{1+ P_T(2.5 -1) +0}[/tex]

[tex]P_T = 0.1719[/tex]

Finally, to estimate the maximum number of large trucks and buses; we have:

[tex]= V\times P_T = 1800 \times 0.1719[/tex]

Maximum number of large trucks and buses = 309

What is the value of logg 8?

Answers

Answer:

The value of log 8 is 0.9030

Step-by-step explanation:

To find:

Value of log 8

Solution:

Let we take,

x=log8

x=log (2)^3

x=3log2

x=3*0.3010

x=0.9030

Hence, the value of log 8 is 0.90.


Pekekeekekkekemmemememsmsmsmwmwmwmwmwmwmwwmwmmwmwwmmwm

Answers

Answer:

Answer C

Step-by-step explanation:

C.

Find the surface area of the prism L=13 W=7 H=4

Answers

Answer:

342 units squared

Step-by-step explanation:

since this is a rectangular prism, all we have to do is multiply the values by one of the other values once and multiply that by 2

The point (-2, k) lies on the line 2x – 4y + 3 = 0.
Find the value of k.

Answers

Answer:

k = (-1/4)

Step-by-step explanation:

Given that,

The point (-2, k) lies on the line 2x – 4y + 3 = 0.

We need to find the value of k.

Put x = -2 and y = k in the given equation.

2(-2) – 4k + 3 = 0

-4-4k = -3

-4+3 = 4k

-1 = 4k

k = (-1/4)

So, the value of k is equal to (-1/4).

evaluate 3 + jk + k ^3 when j = 2 and k = 6

Answers

231
hope this helps!

1
6
Drew uses container of
carpet freshener to
vacuum of his house.
If his entire house is
carpeted, at this rate,
what fraction of the
container of carpet
freshener will Drew use
to vacuum his entire
house?

Answers

Drew a lot and I’m just trying not a good thing for you and you don’t want me back in my life I’m just gonna be ok with me that I’m just trying not really mean you don’t have a problem I just want you know I’m 30$ 50$

volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice

Answers

Answer:

9.95 cm

Step-by-step explanation:

Volume of a cylinder = pi * r² * h

Volume = 500 cm³

Radius, r = 8cm / 2 = 4cm

500 = 3.14 * 4² * h

500 = 3.14 * 16 * h

500 = 50.24 * h

h = 500 / 50.24

h = 9.952229

Height, h = 9.95 cm

What is the missing angle? Please only if you know!

Answers

Pythagorean Theorem: a^2+b^2=c^2
C^2 being the missing angle because it’s the hypotenuse( angle diagonal from the 90degree box
4^2+13^2 = c^2
16+169=c^2
185=c^2
Then square root from both sides & c = 13.6

Please help me!! I don’t get this!

Answers

Answer:

c) (x+1)²+(y-3)²=25

Step-by-step explanation:

PLEASE HELP. I REALLY NEED THIS.

Answers

Answer:

sry sry sry sry sry can't answer

HELP ME WITH 6-10 PLS

Answers

6. = 0.0000004834

7. = 0.0000506

8. = 0.00098

9. = 64580000

10. = 1398600000

Help me solve this on time limit

Answers

Answer:

B

Step-by-step explanation:

It’s B hope it helps

Somebody please help

Answers

Answer:

5

Step-by-step explanation:

when finding a y intercept thevalue of x must be0,,,,,,when xis changed to 0the answer left is 5

sara mailed 20 christmas cards. of them were mailed to canada. what percentage of the cards were mailed to canada

Answers

Answer:

45%

Step-by-step explanation:

9/20

3a^2+6b^3 a=3 and b=2

Answers

I think it is equal to 1809.

What distinguishes a market economy from a free-enterprise economy?
A market economy is based on set prices that businesses use to produce goods that consumers need.
A free-enterprise economy allows the government to freely regulate the quantity of items produced as supply decreases in a market economy.
A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money.
In a market economy, the supply and demand of goods is determined by consumers who are free to set their own prices in a free enterprise

Answers

Answer:

Well that question could have multiple answers... one of them being set prices, and money balances. Another being product demand on goods and services. It's really your choice on what you think distinguishes these factors. There's to many opinions on this to just give one answer.

Step-by-step explanation:

Answer: It's C. "A market economy is based on supply and demand, and a free-enterprise economy is based on relying on demand to produce products to make money." Good Luck!

Step-by-step explanation:

Just took it on edge and have a screenshot

what is a solution to the inequality y>3x-9

Answers

Answer:

Many answers including (0,0)

Step-by-step explanation:

Well there is many solutions since it is an inequality, in fact there are infinite possible solutions.

One possible solution is (0,0)

Here's a graph that shows some of the possible solutions:


the slope of (3, 12) and (4, 16)

Answers

Answer:it’s 1/4

Step-by-step explanation:

For parties of six or more, a restaurant adds a 20% gratuity (or tip). If a
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.

Answers

Answer: tThe total dinner bill with  tip = $177.90

Step-by-step explanation:

Given: Dinner bill = $148.25

Tip percent = 20%= 0.20

Total dinner bill = Dinner bill + Tip percent × (Dinner bill)

Total dinner bill = $ (148.25+0.20×148.25)

Total dinner bill = $ (148.25(1.20))

Total dinner bill = $177.90

Hence, the total dinner bill with  tip = $177.90

Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?

Answers

Answer:

42.3

Sorry I haven't been answering your questions I'm just behind on homework.

Brendon is a ticketing clerk at a zoo. Which of the following is a statistical question that Brendon can be asked?
A. What is the price of the entry ticket for adults?
B. How many children visited the zoo last Sunday?
C. How many adults visited the zoo on Sundays?
D. What time does the zoo open?

Answers

Answer:

Letter A

Step-by-step explanation:

He is the ticket clerk so it makes sense people would ask about the ticket prices.

In the diagram below, BD is parallel to XY What is the value of y?
.
B
**
O A. 20
O B. 130
O C. 110
D. 70

Answers

Answer:

[tex]y =110^\circ[/tex]

Step-by-step explanation:

Given

See attachment for diagram

Required

Find y

From the attachment, 70 and y are interior angles.

So:

[tex]70 + y = 180[/tex]

Solve for y

[tex]y = 180 - 70[/tex]

[tex]y =110^\circ[/tex]

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