Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =

Consider The Function Given By The Graph. What Arethese Values?fl-2) =10) =f(4) =

Answers

Answer 1

Answer:

f(-2) = 2

f(0) = 4

f(4) = -1

Step-by-step explanation:

Given the graph of a piecewise function:

[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]

Side note:

I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.

Explanation:

There are two methods for determining the range values of the given domain values.  

Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.  

Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values.  This post will use the second method (using the piecewise function) to evaluate the input values.

Regardless of the method used, the results will remain the same.

f(-2)

Since the input value is x = -2, then we must use the function, f(x) = x + 4:

f(x) = x + 4

f(-2) = -2 + 4

f(-2) = 2

Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.

f(0)

Given the input value is x = 0, then we must also use the function, f(x) = x + 4:

f(x) = x + 4

f(0) = 0 + 4

f(0) = 4

Therefore, the range value given the domain, x = 0 is 4, or  f(0) = 4.

f(4)

Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:

f(x) = -½x + 1

f(4) = -½(4) + 1

f(4) = -2 + 1

f(4) = -1

Therefore, the range value given the domain, x = 4 is -1, or  f(4) = -1.


Related Questions

Anybody know the answer and how did you get it

Answers

Answer:

so I'm guessing you're solving for x

because angle 2 is the vertical angle to angle 3 so this means that they are congruent

4x-26=3x+4

4x-3x=4+26

x=30

Please help me this is due tomorrow.

Answers

Answer:

C

Step-by-step explanation:

The domain of a function is a set of values that make the function real and defined. No matter what number you substitute as x, the result is always real. Hence, the domain would be from negative infinity to positive infinity.

Answer: I think it’s D

Step-by-step explanation:

What type of angle is 19 degrees

Answers

Answer:

Obtuse Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

Sales tax in a certain community is 7%. If the sales tax on a new car was $1,400, what was the selling price of the car

Answers

Answer:

20,000

Step-by-step explanation:

Answer:

%7         1400

100           x

7x=140000

x=20000$

Help please! If a bot answers pls ignore!

Answers

Answer:

3.70

Step-by-step explanation:

Answer:

  a. $58.75

  b. 3.75p +5.00d

Step-by-step explanation:

As with any sort of purchase, the cost for a number of items of the same kind is the product of the number of items and the cost of each. For several different items, the total cost is the sum of the costs of each of the kinds of items. If you do any shopping, you know this.

a.

5 popcorn and 8 drinks cost 5($3.75) +8($5.00) = $18.75 +40.00 = $58.75

__

b.

p popcorn and d drinks cost p($3.75) +d($5.00) = 3.75p +5.00d . . . . dollars

plz help will mark as brainliest​

Answers

The 3 sides are 8, 12 and 16.

Answer:

the three sides are 8, 12 and 16

Step-by-step explanation:

since the ratio is in 2:3:4, we need to work out each side individually so add them=2+3+4=9

9n=36, n=4

2:3:4

2 × 4 = 8

3 × 4 = 12

4 × 4 = 16

At GameStop, there is a 30% off discount sale for a PS 5 originally priced at $600. After the sale, the discounted price of the PS5 was increased by 30%. What is the final price of the PS5 after the increase?

Answers

Answer:600-30 precent is $420 so is you increase it by 30 precent it would be

420 + (30% × 420) =

420 + 30% × 420 =

(1 + 30%) × 420 =

(100% + 30%) × 420 =

130% × 420 =

130 ÷ 100 × 420 =

130 × 420 ÷ 100 =

54,600 ÷ 100 =

546

Step-by-step explanation:

so 546 if wrong i am sorry

8.3g of sugar is needed for every cake made. How much sugar is needed for 5 cakes?

Answers

Answer:

41.5g of sugar

Step-by-step explanation:

8.3 x 5

Please help me ASAP!! And please don’t just answer randomly for points..thanks

Answers

Answer:

46

Step-by-step explanation:

3x3=9

5x7=35

9+35=46

Answer:

44 inches

Step-by-step explanation:

Cut off the pertruding bit of the shape

3inches × 3 inches = 9 inches

5 inches × 7 inches = 35 inches

9 inches + 35 inches = 44 inches

Find the value by using the suitable identities 84 2 The 2 is square so the question is 84 square Pls i need the ans fastt

Answers

84²

it is like saying 84×84

so

84×84=7,056

so our answer is

= 7,056

What is the image of the point. (6, – 7) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

Answer:

(-6, 7)

Step-by-step explanation:

the original and new points are both six units above/below the x-axis and 7 units to the right/left of the y-axis

A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.

(I) If there were x 20c coins, write an equation in x for the number of 50c coins.

(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.

(iii) Solve the equation to find the number of each type of coin in the jar.

Answers

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Find out more at: https://brainly.com/question/21105092

GIVING BRAINLIEST!!!!!!!!

Answers

[tex]\red{\bold{Answer:}}[/tex]

The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.

#BrainlyFast

#CarryOnLearning

(≡^∇^≡)

5 (m - 3) = 40
What do 5m and m represent?

(Quick Question I NEED REAL QUICK!)
(Thanks)

Answers

Solution:

[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]

Therefore, m = 11

5m = 5 × 11 = 55

Answers

5m is 55, m is 11.

Hope it helps.

Do comment if you have any query.

Answer:

m=11

5m=55

Step-by-step explanation:

To find the answer to this question, isolate m. Do this by using the properties of equality.

First, distribute the 5 to the terms within the parentheses

5m-15=40

Then, add 15 to both sides

5m=55

Next, divide both sides by 5

m=11

This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.

Answer 5 and 6 please

Answers

Answer: 5) F:(1,-1)

6) W:(-3,-2)

Step-by-step explanation:

Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?

Answers

Answer:

7 students had Snickers

Step-by-step explanation:

Nestle Crunches - nSnickers - s

System of equations according to given:

30n + 50s = 680     (converted $6.80 into 680¢)n = s + 4

Substitute n into first equation and solve for s:

30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7

Nestle crunches be xSnickers be y

Equations are

0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]

EQUATION(2)× 30

[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]

Subtracting (1) and (3)

[tex]\\ \sf\longmapsto 80y=560[/tex]

[tex]\\ \sf\longmapsto y=7[/tex]

Solve for X:

6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8

Answers

Answer:

I think it's infinantly many solutions

Step-by-step explanation:

6•4x= 24x.

6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31

24x-31 24x-31

sorry that's it's set up so wierdly

Answer:

Any value of  X  makes the equation true.

Step-by-step explanation:

what is 5 minutes to four and how?

Answers

Answer:

4 minutes to 4 is actually 3 56 am or pm

Step-by-step explanation:

it simply means you are left with 1 2 3 4 minutes only till is 4 o'clock

To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?​

Answers

Answer:

1

Step-by-step explanation:

Answer:

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

Step-by-step explanation:

Set up a table (attached) that summarizes and organizes the data.  Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school.  We know that distance = (speed)*(time).

The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.

                                TRIPS    

                 1     2  

House/Shed A 6     18   km/hr

Shed/School B 15     27   km/hr

              18'30"    10'10"   min

                18.5     10.16   min    

              0.308   0.169   hr        [Convert the minutes into hours]

[The distance divided by the speed will give the time required for each segment, A and B].  

Trip 1:  1)  A/6 + B/15 =   0.308    

Trip 2: 2)  A/18 + B/27 = 0.169

Trip 1:  A/6 + B/15 = 0.308

            A + (6/15)B = 1.85    [Multiply each side by 6]

              A = 1.85 - (6/15)B     [Rearrange]

             A = 1.85 - (0.4)B       [This will be the defination of A we'll use in the second equation]

Trip2:     A/18 + B/27 = 0.169

    (1.85 - (0.4)B)/18 + B/27 = 0.169   [Use A= 1.85 - (0.4)B from above]

   27(1.85 - 0.4B)/18 + B = 27*(0.169)   [Multiply each side by 27]

   1.5*(1.85-0.4B) + B = 4.58

   2.78 - 0.6B + B = 4.58

    0.4B = 1.85

                                      B = 4.47 km

Now use  B = 4.47 km in either original equation to find A.

A/18 + B/27 = 0.169

A  + (18/27)B = 18*(0.169)   {Multiply both sides by 18]

A  + (0.67)B = 3.042

A  + (0.67)(4.47) = 3.042

A  + (2.98) = 3.042

                                    A = 0.062 km

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

There were m balloons at the beginning of a party. By the end of the party, 4 of them had popped. Using m, write an expression for the number of balloons that were left. Please help! <3

Answers

Answer:

m - 4

Step-by-step explanation:

So, m amount of balloons at the beginning.

When 4 pop, that means there are 4 less than the beginning.

m - 4

four w plus ten equals negative w

Answers

Answer:

4w+10=-w

w=-2

Step-by-step explanation:

First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.

4w+10=-w10=-5w-2=w

0.9 is the result of finding the product of 2 and 34 minus a number.

Answers

Answer:

The answer is 3/10

Step-by-step explanation:

I took the test using K-12

Sorry if it is late.

Plzzzzzz help one more time​

Answers

D
Non linear means not a straight line

193 / 240
what will be the percentage for this​

Answers

Answer:

84%

Step-by-step explanation:

To find a percentage, just divide the first number by the second.

[tex]\frac{193}{240}=0.80417[/tex]

So 193 is about 80% of 240.

If you were to do it in the other order:

[tex]\frac{240}{193} =1.24352[/tex]

240 is 124% of 193.

It will be 80.4 %

193 / 240 = 0.80416666 x 100 = 80.4

You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?

Answers

Answer:

105-15x=30

5 days

You can spend the amount of $15 a day for 5 days if you have $105 to take with you.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.

Let the number of days would be x

According to the given information, the required solution would be as

105 - 15x = 30

The above explicit formula represents the given scenario.

105 - 15x = 30

Rearrange the terms in the above equation,

15x = 105 - 30

Apply the subtraction operation,

15x = 75

x = 75/5

Apply the division operation,

x = 5

Therefore, you can spend the amount of $15 a day for 5 days.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ2

Each big square below represents one whole.

Answers

Answer:

103%

Step-by-step explanation:

each little box is 1%

How to find Y intercept of the line passing through the points

Answers

Answer:

Y-intercept: (0, -3)

Step-by-step explanation:

Given the two points, (6, 5) and (3, 1):

We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.

Slope

We must first solve for the slope of the line using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁)  = (3, 1)

     (x₂, y₂) = (6, 5)

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]

Hence, the slope of the line is:  [tex]\sf{m\:=\frac{4}{3}}[/tex] .

Y-intercept:

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).  

In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:

y = mx + b

[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]

5 = 8 + b

Subtract 8 from both sides to isolate b:

5 - 8 = 8 - 8 + b

-3 = b

Therefore, the y-intercept is (0, -3), where b = -3.  

Write an equation in slope-intercept form of the line shown. (-6, 4) (-2, 2)

Answers

Y=-1/2+1, y equals negative one half plus one

what multiples to -36 but adds to 16

Answers

Answer:

answer in the link below

mathhelp.mhlp

Step-by-step explanation:

A weightlifter's maximum amount he can lift is 300 pounds. Write and solve an equality to find the number of 50 pound weights he can possibly lift.​

Answers

50w/50 = 300/50

----------- -----------

1w (or) w = 60

w = # of weights

The weightlifter can lift a maximum of 60 weights if each weight weighed 50 pounds.

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