For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.

For F(x), Evaluate The Following: A. F(0), B. F(6) And Show All Of Your Work. // I've Attached The Function

Answers

Answer 1

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.

If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.

If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.


Related Questions

um I need help with thissss

Answers

Answer:

its you again

Step-by-step explanation:

if they have the same amount of dashes on the same sided they are congruent

does that answer your question

if they have the same amount of dashes on the same sided they are congruent

what is the x-intercept of a line that passes through the point (3,4) and has a slope of 2?​

Answers

Answer:

(1,0)

Step-by-step explanation:

Hi there!

We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2

First, let's find the line

We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We do have everything needed to write the equation, let's just label everything to avoid confusion:

m=2

[tex]x_1=3[/tex]

[tex]y_1[/tex]=4

Now substitute those values as the variables that they represent into the equation:

[tex]y-y_1=m(x-x_1)[/tex]

y-4=2(x-3)

Now we have the equation in slope-point form

The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0

So we can substitute y as 0 in the equation to find out the value of x:

y-4=2(x-3)

0-4=2(x-3)

Multiply

0-4=2x-6

Add 6 to both sides

0+2=2x

Simplify the left

2=2x

Divide both sides by 2

1=x

So the value of the x intercept is 1, also written as the point (1,0)

Hope this helps!

PLSSS HELP
Order the numbers from least to greatest​

Answers

Answer:

It is the Last answer D

Step-by-step explanation:

because 15/2 is equal to 7 1/2

the square room of 64 is 8

and 8.1444444 is less than 8 1/7

Since it was 7 years ago, Mr. Ly's age was 28 years old.

Can someone please tell me what is his age at present (In now)?

Answers

Answer:

28+7=35. 35 is your answer.

Answer:

35

Step-by-step explanation:

35 because 7+28 is 35 7

28

When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.

Answers

Stunting is the impaired growth and development that children experience from poor nutrition, repeated infection, and inadequate psychosocial stimulation. Children are defined as stunted if their height-for-age is more than two standard deviations below the child growth standard

The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of 20 minutes. So far this year, the airline has an average that is 45% shorter. What is the current year's average?

Answers

Answer:

11 minutes

Step-by-step explanation:

45% of 20 can be found by multiplying 20 and 0.45

which equals 9

so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes

The average delay in the current year is 11 minutes.

Given that, last year, a particular airline had an average flight delay of 20 minutes.

This year the airline has an average that is 45% shorter.

We need to find what is the current year's average.

What is average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Now, 45% of 20=45/100×20=9

So,20-9=11

Hence, the average delay in the current year is 11 minutes.

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If you guys know how to do this lemme know, thanks :))

Answers

Answer:

A 65

Step-by-step explanation:

x = -5

y = -8

-5 - 5 (-8)^2 / -5 = -325 / -5

= 65

Answer:

65

Step-by-step explanation:

So, this expression is asking us to solve an equation when x = -5 and y = -8.

When asked to solve problems like this, all we have to do is plug in the numbers accordingly

[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]

Now, we can simplify using PEMDAS

[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]

Please correct me if i'm wrong :)

help me
[tex] \: [/tex]

if mCE =100° ,mCA =110° and CR is a diameter find

mAR
mER

ANSWER 6-10 PLSS
see the attachment plss
need properly answer
right answer get brainlist
nonsense answer will be reported
[tex] \: [/tex]

Answers

Step-by-step explanation:

#6mAR = mCR - mCA = 180° - 110° = 70°#7mER = mCR - mCE = 180° - 100° = 80°#8m∠CAR = 90° as CR is diameter#9m∠CRA = 1/2(mCA) = 1/2(110°) = 55°#10m∠ROE = m∠COR - m∠COE = 180° - 100° = 80°

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Answers

-146 is the 32nd term in the sequence

Answer:

-146

Step-by-step explanation:

so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows

9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146

the 32nd term would be -146

Write the slope-intercept form of the equation

Answers

Answer:

y= [tex]\frac{1}{3}[/tex]x-1

Step-by-step explanation:

Slope intercept form= y=mx+b

m=slope

b=y-intercept

b=-1

m= [tex]\frac{1}{3}[/tex]

y= [tex]\frac{1}{3}[/tex]x-1

Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

Answers

The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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Phil has a three-year contract for his cell phone service. He pays $572.60 each year to cover everyone and his family. How much will the cell phone service cost over the three-year period

Answers

Answer:

$1717.80

Step-by-step explanation:

We are given one clue: He pays $572.60 each year to cover everyone and his family.

We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.

572.60 x 3 = Total cost to pay after 3 years.

=> $1717.80 = Total cost to pay after 3 years.

We can conclude that Phil will have to pay $1717.80 after 3 years.

3-(1/3) to the fourth power

Answers

Answer:

i dint know about you but i got 2.98765432099

Step-by-step explanation:

im not sure if in right though

If any doubt please comment what you need clarification on.

Rate BRAINLIEST

the answer is abffj uynjy uymn mhk um

Answers

yes because the political aspect of this question

PLEASE HELPP!! What is the slope and Y intercept of this equation?

Answers

Answer:

The slope is 10

The y - intercept is 20

Step-by-step explanation:

The equations are written as:

y = ?x + ?

The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10

The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept

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Answers

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

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5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

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Square sides are equal..

A=a^2=1.1^2≈1.21

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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

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choose the correct description of the system of equations. 3x-y=5 6x=2y+5 A.Consistent and independent B.Consistent and dependent C.Inconsistent D.Inconsistent and dependent

Answers

Answer:

C. inconsistent

Step-by-step explanation:

3x - y = 5                      6x = 2y + 5         Solve for y

3x - 5 =  y                      6x - 5 = 2y

3x - 5 = y                       [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]

3x - 5 = y                       3x - 2.5 = y

Slope = 3                       Slope = 3                    Same slope

y-intercept: -5                 y-intercept: 2.5         Different intercepts

                                                                           not solution set

Make x the subject of the formula x + t = q

Answers

Answer:

x = t - q

Step-by-step explanation:

because to make q, you need to add x and t

so to make x the subject, you should subtract q

Example

x + t = q

t = 7

q = 36

x = t - q

36 -7 = 29

x = 29

Someone plz help me I’m begging

Answers

Answer:

answer is D

pls I don't confirm sorry

The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.

-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2

-If 121 is the output, what was the input?

Answers

Answer:

Step-by-step explanation:

what is (−
2
1

)
5

Answers

Step-by-step explanation:

i don't understand your question

That isn’t even a question! Sorry. But if it was i could answer it

Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.

A graph titled Distance from school has minutes since leaving home on the x-axis, and miles from school on the y-axis. A line labeled Chris goes through points (0, 4) and (15, 3). A line labeled Alex goes through points (0, 2) and (25, 1).

Which statement is best supported by the graph?
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.

Answers

Answer:

Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales. ​

Answers

The equation that is used to represent (s) the total sales is s = (w - rh)/c

An equations is used to show the relationship between two or more variables.

Given the equation:

cs + rh = w

To solve for s, we have to make s the subject of the equation:

cs + rh = w

subtract rh from both sides:

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c:

cs/c = (w - rh)/c

s = (w - rh)/c

The equation that is used to represent (s) the total sales is s = (w - rh)/c

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V^2=u^2 + 2as rearrange to s subject

Answers

[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]

Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have? I have to use either the strategy of elimination or substitution to solve this. I realize that the first equation is m + d = 132. But I don’t get what the second equation should be!

Answers

Answer:

D+M=132?

Sorry if this is not helpful. I tried my best

750[tex]\geq[/tex](12+x)(24+x)

Answers

Answer:

Step-by-step explanation:

Solve for x using
multiplication.
Cross
-
3x - 3
5
=
2x - 2
4.
x = [?]

Answers

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp

Which one is a function?

Answers

A.

Step-by-step explanation:

To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.

Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.

Answers

Answer:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.

Step-by-step explanation:

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.

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Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.The Parthenon.Parthenon, high on a hill, catches the first light of morning. The carvers wanted the sight of that golden light washing across the horse and a line of other gods to be unforgettable. And so they coaxed the images of their gods out of the marble with such tenderness that they gave the world an example of ideal beauty. Each figure is as calm and as refined as our minds can imagine. They are so noble and quiet that they do seem godly and perfect companions for the noble, quiet temple.Which important detail does the photograph best help readers understand?(A) "Each figure is as calm and as refined as our minds can imagine."(B) "the sight of that golden light washing across the horse and a line of other gods to be unforgettable"(C) "Parthenon, high on a hill, catches the first light of morning."(D) "they gave the world an example of ideal beauty"(ANSWER FAST ITS A TEST AND ITS TIMED!!!) Help MEEEEE PLEASEEE Hello everyone! I have to do this HW assignment and I have no idea how to do this and what the answer is. Please help ASAP! ASAP 50 POINTSWhich of these would be the best heading for all of the following subheadings in a book about peppers: "Ease joint pain," "Fight fat," "Heal heart problems," and "Process food"?A.Types of peppersB.Medical uses for peppersC.PeppersD.Origins of peppers PLZ HELP I Will Give points if you answer correctly No links plz just the answer school x and school y play each other in a competition school x has eight more than school yschool x has three times as many points as school y.how many points does each school have ? hello guyz who ever answers will get 100 pts Question 9 of 10____funds are used to pay for small, unforeseen expenses.A. Emergency B. Money market C. Equity D. Variable Which is the most famous book of the philosopher Alexis karpouzos? I think it is the ''Cosmology, philosophy and physics''. I have my final exam soon 29/11/2021 , thank you all who helped me in math :> what is 1483 divided by 7? what is the remainder which statement best explains why herbivorous organisms are more energetically efficient than those that consume meat? 4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3) what states would be likely to support the Three-fifths Compromises? Plss help What is the potential energy of a 2 kg bowling ball resting at the top of a 5 m high hill? Show all of your work and include the correct units to receive full credit. The number of children attending swimming lessons increased by 35 %. 20 children attended the lessons before the increase. How many children now attend swimming lessons after the increase? Need help with this ASAP Ill mark brainliest What is the comparative and superlative of ill. The graph below shows the time it takes Michael to solve 30 multiplicationflash cards over 7 attempts. In which attempts did he improve by more than 8seconds from the previous attempt? Check all that apply.12012411010090Seconds8070696050554049402456AttemptsO A. Attempt 2RAttemnt 5 2. Which of the following could be an example about theme?A moral or lesson for the reader to learn.An observation about life that the author wants to share.A universal idea the author wants you to think about.All of the above.None of the above.