Mathematics High School

Evaluate the piecewise function for the given values of x by
matching the domain values to the range values.

Answers

Answer 1

Answer:

For x = -4

f (x) = x + 2

We evaluate the value of x = -4

f (-4) = (-4) + 2

f (-4) = -2

Answer is : f (-4) = -2

For x = 4

f (x) = -2x + 4

We evaluate the value of x = 4

f (4) = -2 (4) +4

f (4) = -8 + 4

f (4) = -4

Answer is : f (4) = -4

For x = 0

f (x) = 3x -4

We evaluate the value of x = 0

f (0) = 3 (0) -4

f (0) = 0-4

f (0) = -4

Answer is : f (0) = -4

Answer 2

The value of the function at x = 1 is, f(x) = - x - 4 which equals f(1) = - 3.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.

Similarly, A piecewise function can also be in terms of without modulus.

Given, f(x) = - x - 4 for x < 3.

f(x) = x² - 7, for 3 ≤x < 12.

f(x) = (120/x) + 5, for x ≥ 12.

Now, At x = 1, It satisfies,

f(x) = - x - 4 for x < 3.

Therefore, f(1) = - (-1) - 4.

f(1) = - 3.

learn more about piecewise functions here :

https://brainly.com/question/28225662

#SPJ7

Related Questions

Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65.

How many stamps does Sandra buy?

Answers

Answer:

1 Stamp = $0.65

Stamps Bought= $158.60/0.65

=244 Stamps

PLEASE HELP WILL GIVE BRAINLIEST!!!
There are 35 rows in an auditorium. The first row has 38 seats. Each row after that has three more seats than the previous row.
a) write an explicit formula that represents the number of seats in one of the rows.

b) How many seats are in row 25?

c) How many total seats are in the auditorium?

Answers

Answer:

please correct if wrong

Step-by-step explanation:

A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?

A 4

B. 8

C. 16

D. 20

Answers

Answer:

D. 20

Step-by-step explanation:

The line of best fit for the equation is:

[tex]y = 3x - 4[/tex]

When x = 8

We have to find y. So

[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]

So the correct answer is given by option D.

a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?

Answers

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?

The distance between the fire and the base of the tower is 3816.2 feet.

What is the concept of height and distances?

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

How do we solve the given question?

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

Learn more about Heights and Distances at

https://brainly.com/question/14361606

#SPJ2

HELPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEE

Answers

Answer:

62 degrees

Step-by-step explanation:

HJ is a line which means its 180 degrees if HIL is 118 degrees then LIJ is 62 degrees and due to the lines being parallel then MLN is also 62 degrees

So, we know that ∠HIL = 118, and we also know that a line is 180 degrees. This means that ∠HIL +∠JIL = 180. We can use simple arithmetic and substitution to find that 180-118= 62, so ∠JIL = 62.

We have another line, Line N, so we know that the line is equal to 180 as well! Because ∠JIL and ∠ILM are both on this line, ∠JIL +∠ILM = 180. ∠JIL = 62, so 180 - 62 = 118.

Lastly, Line N is still equal to 180, so ∠ILM + ∠MLN = 180. In this case, we have 180-118=62, so ∠MLN = 62.

Or, using theorems, there is an easier way to do this.

The corresponding angles theorem tells us that "If a transversal intersects two parallel lines, the corresponding angles are congruent." So, we can see that both ∠MLN and ∠JIL are corresponding so they are congruent. First, however, we need to find ∠JIL, and if we look at our work from above, we see that ∠JIL = 62. Since ∠JIL and ∠MLN are congruent, or the same, ∠MLN is also 62.

pls help to solve this

Answers

Answer:

[tex] \underline{ \underline{ \large{ \pink{ \tt{E \: X \: P \: L \: A \: N \: A \: T \: I \: O \: N}}} }}: [/tex]

✧ We know , Reflection of a point on x - axis remains the x - co-ordinate same but the sign of y - coordinate changes i.e P ( x , y ) ⇢ P' ( x , - y ). So, the image of the point ( 8 , 10 ) under the reflection on x - axis is :

A ( 8 , 10 ) ⇢A' ( 8 , -10 )

☄ Hope I helped! ♡

☃ Have a wonderful day/ night ! ♨

[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

now

we have

P(x,y)⇢reflection under x axis⇢P'(x,-y)

P(8,10)⇢reflection under x axis⇢P'(8,-10)

for point (8,10) image is:(8,-10).

You have a bag that contains 7 red marbles and 5 blue marbles. You randomly choose one of the marbles. Without replacing the first marble, you choose a second marble. Find the probability of these dependent events. Simplify as needed. Choosing a red marble and then a blue marble

Answers

Answer:

Step-by-step explanation:

12 marbles in total. The possibility of pulling out a red marble is going to be 7/12. Since you would then take the marble out, you'll have 11 marbles left. After that, it'll be 5/11.

Need help please!!!! Brainiest if answered correctly!!!! No link, it will be reported!!

Answers

The mean increases. When Deleware (2,000: 2) is included the mean must be divided by 9 instead of 8.

guys, please help me!!!!!! I'll give you brainly and a ton of points!

Answers

Answer:

Step-by-step explanation:

62 / 2 = 31

Answer:

Step-by-step explanation:

angle is half of arc

Does anyone know the answer to question 6?

Answers

Answer:

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

The answer is B, 25%.

There are 16 students total, and 4 scored above a 90 so you divide 4 by 16 which gives you 0.25, which is 25%

Answer:

B. 25%

Step-by-step explanation:

Total 16 students

4 scored above 90

so 4/16= 0.25

Answer: 25%

plz mark me as brainliest.

What is the volume of this cone?

Answers

Answer: C

Step-by-step explanation:

Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay

Answers

Answer: c. during several storms, there were five hours of delay for every eight hours of rain

Step-by-step explanation: i just had this question

The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)

Answers

Answer:

Sine angle A = 1,050 / 2,800

Sine angle A = .375

arc sine (.375) = Angle A

Angle A = 22.024 Degrees

(THIS REPLACES THE PREVIOUS ANSWER.)

Step-by-step explanation:

In January, Mrs Jones's business had spent $480 on raw materials. Based on the information in graph, how much money was spent on expenses in March?

Answers

Answer:

There is no graph

Step-by-step explanation:

Find X, Y, Z,
(I believe X is 12?)

Answers

Answer:

x = 12 y = 24 z = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you are correct. x = 12

The dotted line has a length of 12 also

The dotted line is the shorter leg of the 30-60-90 triangle.

So, z = 12[tex]\sqrt{3}[/tex] and y = 24

I’ll give brainlist to whoever answer correct. Do not give any links or answer for points

Answers

Answer:

length L = [tex]\sqrt[2]{18}[/tex] or [tex]3\sqrt{2}[/tex]

slope = 45 degree

neither

Step-by-step explanation:

Classify this triangle by its sides and angles.

Answers

Answer:

right and scalene

Step-by-step explanation:

all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.

Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14

Answers

Answer:

D) -7y + 14

Step-by-step explanation:

-7 x y = -7y

-7 × -2=14 ( negative times negative equals positive)

D is the answer when u simplify the answer

The gym teacher uses 3/5of his kickballs in class. Half of the remaining balls are given to students for recess. What fraction of all the kickballs is given to students for recess?

Answers

if the gym teacher used 3/5 then the half ago the balls are given to students then it’s 1/3

If you change the sign of a point's x-coordinate, how does the location of the point change? CLEAR CHECK The point moves down and to the left. The point crosses over the x-axis. The point crosses over the y-axis. Not enough information is provided.

Answers

Answer:

The point crosses over the y-axis

Step-by-step explanation:

Given

A change in the sign of x coordinate

Required

The effect on the point location

Assume the coordinate to be (x,y).

The above point is located in the first quadrant,

When the x value changes to negative i.e. (-x,y)

The point moves from the first quadrant to the second quadrant

This implies that, the point crosses over the y-axis.

Similarly, assume the coordinate to be (-x,-y).

The above point is located in the third quadrant,

When the x value changes i.e. (x,-y)

The point moves from the first quadrant to the fourth quadrant

This implies that, the point crosses over the y-axis.

PLS HELPP!! thank you

Answers

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

number 2 and number 3

Answers

The correct answer for 2 is the third choice and 3 is the second one

Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7

Answers

Answer:

Step-by-step explanation:

Use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cos C becomes

7^2 = 11^2 + 13^2 - 2(11)(13)cos C.

Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.

What’s the answer to the question -7x + 15 = 36

Answers

Answer:

x= -3

Step-by-step explanation:

-7x +15 - 15 = 36 - 15

-7x = 21

-7x ÷ -7 = 21 ÷ -7

x= -3

Answer:

Um.....

-3

Sorry if calculated wrong..

HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.
7.50

B.
7.00

C.
7.25

D.
6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.

B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.

D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.

Answers

Answer:

Part A

C. 7.25

Part B

B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.

Step-by-step explanation:

Given data:

299, 281, 285, 269, 280, 269, 286, 287Part A

Find the mean of the data above:

(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282

Find absolute deviations, an absolute value of the difference of data and the mean:

299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5 ⇒ 5

Find mean absolute deviation:

(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25

Correct choice is C

Part B

Less mean absolute deviation is the sign of more consistent data.

Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25

Correct choice is B.

What number must be divided by 15 3/4 so that the quotient is 60?

Answers

The answer is 945

If we take 15.75*60=945

Let’s check our answer

945/15.75=60

Hope it helps

If 4c + 10= 20 -16c, what is 8c?

Answers

If that = that . That mean 8c is 3c

When you find one more
than a number, only the
ones digit will change.

Can you give some examples please?

Answers

Answer:

Step-by-step explanation:

literally any number +1
10+1=12
20+1=21

Tina bought a bracelet for $5.24 and a necklace for $9.89. What is her total cost?

Answers

15.23.........????????????

Answer:

15.13

Step-by-step explanation:

Other Questions

Which number on the map represents the continent's of Antrtica?A) 3B) 5 C) 6D) 7 Name 1 limitation of the clear tray aligner What is a research essay An airplane is 16,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. Write an equation you could use to solve for x, the number of minutes it will take until the plane is 12,600 feet above the ground. HELPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEE Find the area of this parallelogram, top= 14 left= 11 right = 10 Which expression has a value of 39?A 24 X 2 - 8 + 42 divided by 8 - 6B 24 X 2 - 8 + 42 divided by (8 - 6)C 24 X (2 + 8) + 42 divided by 8 - 6D 24 X 2 - (8 + 42) divided by 8 - 6 identify the incorrect verb form of each sentences and rewrite: Carson wishes that she was wrong about the fate of the town. - The situation Carson relates seems to demand that I am more aware of my effects on the environment. The largest tree in the United States is growing in Sequoia National Park in California. The tree is a giant sequoia whose trunk is roughly circular and has a circumference of 998 inches. Find the diameter of the tree. Use 3.14 for pi and round your answer to the nearest tenths place. Due today! Why is it a good idea to have floating cities?A: We are running out of landB: We need it for pollution cleanupC: Oceans are risingD: It's a sustainable way to live which is most likely the next step in the series? How many pairs of glasses can we make with the foil beads and how many foil beads will be left over ? 2 ways in which the effects of friction can be minimised in the experiment What 2 countries did nixon visit to keep divided What is the adverb? Adverbs, My suitcase is rather heavy. There are 1,024 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?A: f(x)=1,024(1.50)xB: f(x)=1,024(0.50)xC: f(x)=1,024(1.05)xD: f(x)=1,024(0.05)x PEASE HELPPP!!! Identify the individual(s) in the Jones family whose genotype cannot be determined with the certainty (A_?) In the figure below, m2 1=(x-12) and mZ2 =5x.Find the angle measures. Viola has to relocate for her job. She finds a townhome with an option to rent or buy. The conditions of each are shown below. Rent: Move-in costs of $2,380 and.monthly payment of $845. Buy: Move-in costs of $5,260 and monthly payment of $785. Viola moves frequently due to her job, but she thinks that she will stay in the area for 4 years. Therefore, she decided to buy. Cho0se the best evaluation of Viola's deci a. Since the costs would be the same over the 4 year period, she will have made a good decision if the property value does not decrease. b. She made a fairly good decision. Buying the townhome will be cheaper over the 4 year period as long as she doesn't have major repairs to make. C. She made a poor decision if the property value does not increase. Renting the townhome would be cheaper over the 4 year period. d. There is not enough information given to determine which option is best. The ratio of boys to girls at school today 4:7. If there are 350boys at school today, how many girls are there? Rounddown.

Evaluate the piecewise function for the given values of x by matching the domain values to the range values.

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Evaluate the piecewise function for the given values of x by
matching the domain values to the range values.