Question 3 (Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Og(x) = x - 6
O g(x) = x -
11111
x
0
|
+ III
x
M
|
x
M
O g(x) = x + 2
|
O g(x) = x + 6

Answers

Answer 1

Answer:

[tex]g(x) = x + 6[/tex]

Step-by-step explanation:

The parent function is given as:

[tex]f(x) = x + 8[/tex]

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

[tex]g(x) = f(x - 2)[/tex]

We replace x by x-2 in f(x) to get:

[tex]g(x) = x - 2 + 8[/tex]

When we simplify, we obtain:

[tex]g(x) = x + 6[/tex]


Related Questions

what is the problem with pollution? why does it exist?

Answers

I mean it causes damege to the earth

A rectangular painting is 2feet long and 5/6 foot wide. What is the area of the painting

Answers

Answer:

1.66

Step-by-step explanation:

5/6 is equal to 0.83

A=wl=0.83·2=1.66

Answer:

10/6 or 1 2/3  

Step-by-step explanation:

To find the area of a rectangle you multiply the length by the width

2 x 5/6         2 is equivelent to 2/1 so make 2, 2/1 and then multiply the numerators and multiply the denominators

2/1 x 5/6

2x5=10      6x1=6             Now put it back in fraction form

10/6                                simplify

1 4/6                            simplify

1 2/3

The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width​

Answers

Answer:

L = 90 inches

W = 30 inches

Step-by-step explanation:

Give the length of a rectangle L is three times the width

That’s

L = 3w

And perimeter = 240 inches

Recall that the perimeter of a rectangle is given by

P = 2(L + W)

L = 3w

We now have two equations

Now substitute 3w for L in The above formula and 240 for P.

We have

240 = 2(3w + w)

Distribute 2 into (3w + w)

240 = 2 x 3w + 2 x w

240 = 6w + 2w

240 = 8w

Divide both sides by 8

240/8 = 8w/8

30 = w

W = 30inches

Now substitute 30 for w into either of the above equations to get L .

Using

L = 3w

L = 3 x 30

L = 90 inches

L = 90 inches and

W = 30 inches

The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = -4, y = 6
y=
[?]
y =
1

Answers

Answer:

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

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = - 4, y = 6, thus

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{6}{-4}[/tex] = - [tex]\frac{3}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x ← equation of variation

Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it
take him to install 495 square feet?​

Answers

Answer:

9 hrs and 10 mins

Step-by-step explanation:

We can convert this into a proportion. 50/45 = x/495. Cross-multiply to get 45x = 50*495. Divide both sides by 45 to get x = 50*11 = 550 minutes or 9 hrs and 10 mins

Answer: 445.5 minutes

Step-by-step explanation:

Hi, to answer this we have to apply a proportion:

Proportion: square feet / time (minutes)

Tim installs 50 square feet of his floor in 45 minutes: 50/45

For 495 square feet: 495/x

Where x is the time it takes Tim to install 495 square feet of his floor.

50ft/45min = 495ft/x min

Solving for x

x = 495 / (50/45)

x= 445.5 minutes  

A math teacher needs to choose 6 students from class of 30 to go to the library. How many different groups can she select?

Possible answers
A 180
B 427,518,000
C 593,775
D none of the choices are correct

Answers

The answer is D. Divide 30 by 6 and get 5. Five is not a possible answer therefore the answer is D

To determine the number of different ways a math teacher can select 6 students from a class of 30, we use the combination formula C(30, 6) = 30! / (6! * (30 - 6)!), which gives us 593,775 different possibilities. Therefore, the correct answer is C, 593,775.

The math teacher needs to select 6 students from a class of 30 students to go to the library, which is a combinatorial problem in mathematics. The number of ways to choose k students from a group of n students without regard to the order is given by the combination formula:

C(n, k) = n! / (k! * (n - k)!), where n! is the factorial of n and equals n multiplied by all positive integers less than n, and k is the number of students chosen.

Applying the formula for our situation:

C(30, 6) = 30! / (6! * (30 - 6)!)
= (30 * 29 * 28 * 27 * 26 * 25) / (6 * 5 * 4 * 3 * 2 * 1)
= 593,775

So there are 593,775 different ways the teacher can select 6 students from a class of 30. Hence, the correct answer is C, 593,775.

Can someone solve this

Answers

4+3 => 180

Angle3=180-40=140

Answer:140

Step-by-step explanation: trust me i took the test and got it right

Pls help I’ll give brainliest

Answers

Answer:

a.) 9+5x+4+8x+3

b.)13x+16

Step-by-step explanation:

Solve please, its surface area again

Answers

Answer:

108 cm^2

Step-by-step explanation:

Base: 6 × 6 = 36 (÷2 = 18)

Faces: 10 × 6 = 60 (÷2 ×3 = 90)

Add: 18 + 90 = 108

Sandy has a garden in her backyard. The drawing shows
the dimensions of her garden. A bag of fertilizer covers 3
square feet

Answers

Answer:

The answer is 12 and 4

Step-by-step explanation:

Answer:

Here is a screenshot of the finished work i've done!

Carol has $262.10 in her bank account, and she needs to make two deposits today. One deposit is $5.30, and the other deposit is $12.30. How much money will she still have in her account after she makes her deposits?

Answers

Answer:

1,00000

Step-by-step explanation:

277.7

Explanation: 262.10 + 5.30 = 267.4 + 12.30 = 277.7

6 Which expression can be classified as linear?
(A) x2+ x-4 (6) 3x2 - 1
(C) 6x - (D)+7

Answers

Answer:

Step-by-step explanation:

A linear expression has the highest power of the variable to 1, i.e ax+b

So, in this case the questions is not well presented

But looking at options C.

6x

This is linear expression when compare to ax+b, but b=0

Looking at option D

7

This is also a constant and it is linear.

But the best answer is C because it is an expression that has variable x and it is function of x.

Find the value of x.

Answers

Answer:

Step-by-step explanation:

20x + 5 = 9x - 2 + 40

Exterior angle is equal to the sum of interior angles

20x + 5 = 9x + 38

11x = 33

x = 3

There are 25 students who answered a survey about sports Four-ins of them like
football. How many students like football?

Answers

I'm guessing the "-ins" is "fifths". A fifth of 25 is 5 (25/5), so multiplying 5 by 4 will get you four-fifths. 20 students like football.

what is the slope of the line shown below

Answers

There nothing that shown below

Answer: 0,0 if you’re talking about the line on the see answer bar? There isn’t anything shown, but I thought I’d (somehow) help?? Sorry, mate

So. At oaknoll school 90 out of 270 students own computers. What percent of students at oaknoll school do not own computers? Round to nearest tenth of a percent

Answers

Answer: There have 66.66..7% of Student own computer(s).

Step-by-step explanation:

What I did is make the whole school (270) be 100%, then I subtract from Whole school to own computer and the answer will be not own computer: 270 - 90 = 180, so there has 180 students who do not own computer, but we want to find the percentage. So we multiply 180 and 100, we will get 18,000! Then divide it to 270 and we will get 66.66..7, write it on top of 100, so it would be 66.66../100 which mean 66.66..% or 66.66..7%

Hopefully that’s helpful, if not then look the attachment include this answer to help better understanding. Good luck!

Find the greatest common factor of 12 and 44

Answers

Answer:

The greatest common factor of 12 and 44 is 4.

The greatest common factor of 12 and 44 is 2 obtained by prime factorization.

What are LCM and HCF?

The LCM of two or more numbers is the least common multiple of them.

The HCF of two or than two given numbers are the highest number that divides them completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, Are two numbers 12 and 44.

Now, Writing them as a product of prime factors,

12 = 2 × 2 × 5.

44 = 2 × 2 × 11.

So, The only common factor is 2, Hence the HCF of 12 and 44 is 2.

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What is the area of the lawn

Answers

Answer:

what lawn?

can you attach an image?

Step-by-step explanation:

The school cafeteria begins the day with a supply of 1000 chicken nuggets. Each student that passes through the lunch line is given 5 chicken nuggets. Represent the total number of chicken nuggets remaining in the cafeteria’s supply after each of the first 6 students pass through the line with a numeric sequence. Include the number of chicken nuggets the cafeteria started with.

Answers

989

Step-by-step explanation:

subtract 1000-5-6=989

Final answer:

The school cafeteria starts with 1000 chicken nuggets. Each student is given 5 nuggets. After six students, the numerical sequence showing the remaining nuggets is: 1000, 995, 990, 985, 980, 975, 970.

Explanation:

The school cafeteria begins with a total of 1000 chicken nuggets. Every student that passes through the lunch line is given 5 chicken nuggets. So, by the time the first student passes through, the cafeteria will have 1000 - 5 = 995 chicken nuggets.

If we continue with this pattern, the number of chicken nuggets remaining when each student passes through the line (including the starting amount) will be as follows: 1000, 995, 990, 985, 980, 975, 970.

So, the numeric sequence representing the number of chicken nuggets left after each student passes through the line, starting from zero, to 6 students are: 1000, 995, 990, 985, 980, 975, 970.

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Mr Satyal borrowed Rs 50000 and after ane year she returned the loan by paying 60000. What is the intrest paid and what is the rate of the interest?​

Answers

The interest paid is Rs 10000

The rate of interest  is  20%

Step-by-step explanation:

Step 1 :

Amount  borrowed by Mr. Satyal = Rs 50000

Amount repaid  = Rs 60000

Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount

Hence the interest paid is 60000 - 50000 = Rs 10000

Step 2:

The rate of interest is  calculated as follows :

Divide the interest calculated by the principal amount and is expressed as percentage.

Hence the interest rate  = [tex]\frac{10000}{50000}[/tex] × 100 = 20%

Step 3 :

The interest paid is Rs 10000

The interest rate  is  20%

A Heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. select all TRUE statements.

A. The difference in height between the pelican and the heron is -33 feet
B. The difference in height between the pelican and the heron is 33 feet
C.The distance between the heights of the pelican and the heron is -33 feet
D.The difference in height between the pelican and the trout is -40 feet
E.The difference in height between the pelican and the trout is 40 feet
F .The distance between the heights of the pelican and the trout is 40 feet

Answers

Answer:

A, C, and E but I could be wrong.

Step-by-step explanation:

A because 50 - 17 = 33 so -33 will be your answer for that one.

C because the answer of 50 - 17 = 33.

E because 17 + 23 = -40 so the difference between the pelican and the trout is -40 feet altogether.

PLZ HELP URGENT!!
Will award brainliest!

Ms. Zanetti receives text messages throughout her work day from her daughter’s day care provider. The possible number of text messages that she receives in a given day and the probabilities are given in the table.

Answers

Final answer:

Your question relates to probability in mathematics. Using various statistics techniques, we can solve these kinds of problems. However, you need to provide a specific question for further assistance.

Explanation:

The subject of your problem refers to probability, which is a field of mathematics. According to the data given, we can determine or estimate the random events' likelihoods, such as Ms. Zanetti receives text messages throughout her workday from her daughter’s daycare provider, the probability of being the first in line to get a prize, or the arithmetic of random numbers for samples selection in statistics, etc.

One common way we use in probability is setting up the equation and solve it. Another method is using statistical elements, such as mean, to solve the problem. For instance, If Leah receives, on average, 6 telephone calls in two hours, and there are eight 15-minute intervals in two hours, then Leah receives on average 0.75 calls in 15 minutes.

However, your question doesn't provide me enough information to solve for a specific answer. Please provide me with the specific question, so I can assist you better.

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The probability of receiving exactly 4 text messages is 3/16.

The probability that she receives fewer than 4 text messages per day is 13/16

The probability that she receives at least 2 text messages per day is 5/8.

How to find the probability ?

To find the probability that Ms. Zanetti receives exactly 4 text messages per day, we can simply look at the probability given in the table.

Probability that Ms. Zanetti receives fewer than 4 text messages per day:

P(fewer than 4 text messages) = P(0 text messages) + P(1 text message) + P(2 text messages) + P(3 text messages)

= (1/8) + (1/4) + (3/8) + (1/16)

= (2/16) + (4/16) + (6/16) + (1/16)

= 13/16

The probability that Ms. Zanetti receives at least 2 text messages per day:

P(at least 2 text messages) = P(2 text messages) + P(3 text messages) + P(4 text messages)

= 3/8 + 1/16 + 3/16

= 6/16 + 1/16 + 3/16

= (6 + 1 + 3)/16

= 10/16

= 5/8

At a local school, 940 students each wrote 40 letters to students in another country. How many letters were written in all?

Answers

Answer:

37600 letters

Step-by-step explanation:

To get the answer you can multiply 940 and 40:

940*40 = 37600 letters

37600
940*40 is the correct answer

3. A rectangle has a perimeter of 48 inches. The length of the rectangle is 4 inches shorter
than 3 times its width. The equation below shows the perimeter of the rectangle in terms of
x, the rectangle's width.
2 (x) + 2 (3.2 -
4) = 48
What does 3-4 represent in the equation?
A. the width of the rectangle
B. the length of the rectangle
C. the perimeter of the rectangle
D. the number of sides of the rectangle

Answers

The term 3x-4 in the equation is Option B. the length of the rectangle.

Step-by-step explanation:

Given that,

Perimeter of rectangle 2(length+width) = 48 inches.Width of the rectangle = x inches.Length of rectangle = 4 inches shorter  than 3 times the width ⇒ 3x-4

The equation can be formed as:

48 = 2(x) + 2(3x-4)

The term 3x-4 represent the length of the rectangle.

Final answer:

In the given equation, 3x - 4 represents the length of a rectangle where x is the width.

Explanation:

You asked what 3-4 represents in the equation 2(x) + 2(3x - 4) = 48, which describes the perimeter of a rectangle. In this equation, 3x - 4 represents the length of the rectangle. The length is given as 4 inches shorter than three times the width of the rectangle, which is represented by x. Therefore, the correct answer to your question is B. the length of the rectangle.

Help me find the value of these variables please

Answers

Check the picture below.

so, whenever we  have a line coming from a vertex in a right triangle, like in this case, and drops to a perpendicular line, we end up with 3 similar triangles, as you can see in the picture, thus we can use proportions to get the sides, we'll use those proportions in the picture in blue.

[tex]\bf \stackrel{large}{\cfrac{14}{16}}=\stackrel{medium}{\cfrac{c}{14}}\implies \cfrac{7}{8}=\cfrac{c}{14}\implies 98=8c\implies \cfrac{98}{8}=c\implies \boxed{\cfrac{49}{4}=c} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{c+d=16}\implies d = 16 -c\implies d = 16-\cfrac{49}{4}\implies \boxed{d = \cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{small}{medium}\qquad \qquad \cfrac{e}{c}=\cfrac{d}{e}\implies e^2=cd\implies e=\sqrt{cd}\implies e = \sqrt{\cfrac{49}{4}\cdot \cfrac{15}{4}}[/tex]

[tex]\bf e = \sqrt{\cfrac{660}{16}}\implies e = \sqrt{\cfrac{4\cdot 165}{16}}\implies e = \sqrt{\cfrac{165}{4}} \\\\\\ e = \cfrac{\sqrt{165}}{\sqrt{4}}\implies \boxed{e = \cfrac{\sqrt{165}}{2}}[/tex]

if someone could answer this i will give brainliest cuz no one likes to help me on this website anymore

Answers

This is an isoscele trapezoid, because the 2 sides are equal and the bases are parallel.

This means:

5x+45=20x

y=z

5x+45=20x, 45=15x, x=3

The sim of all angles is 360⁰.

2×20x+y+z=2×60+2y=360

60+y=280, y=z=120⁰

Answer: x=3, y=z=120⁰

well, as we can see from the tickmarks on the slanted sides, they're equal, meaning is an isosceles trapezoid, meaning the angles up above are equal to each other, and the angles down below are also equal to each other, namely.

z = y and 5x + 45 = 20x.

[tex]\bf 5x+45=20x\implies 45=15x\implies \cfrac{45}{15}=x\implies \boxed{3=x} \\\\\\ 5x+45\implies 5(3)+45\implies \blacktriangleright 60 \blacktriangleleft\impliedby 20x[/tex]

well, the sum of all interior angles in a polygon is

180(n - 2), where n = sides

this trapezoid has 4 sides, so the sum of all its interior angles is 180(4 - 2) = 360°.

well, we know that the angles above are 60° each, so that's 120° for those, and 360° - 120° = 240°, so "z" and "y" will evenly split 240°, namely ∡z = ∡y = 120°.

A scientist used 2 gallons of liquid for every 3 hours he works. He used how much of a gallon each hour he works.

Answers

Answer:

0.67 repeated or 2/3 gallons

Step-by-step explanation:

First you divide the gallons by hours because you are doing gallons per hour.

Then you get 0.66666667 and you convert that to fraction and that's your answer.

Final answer:

The scientist uses about 0.67 gallons of liquid for each hour of work, as per the calculation obtained by dividing the total gallons of liquid he uses (2 gallons) by the total hours he works (3 hours).

Explanation:

The question here is asking how much of a gallon of liquid a scientist uses each hour if he uses 2 gallons of liquid every 3 hours. To find this, we can start by establishing the ratio of gallons to hours, which is 2 gallons per 3 hours. To find out how much of a gallon each hour he uses, we simply divide the total gallons (2) by the total hours (3).

So, to do this, we take 2 gallons ÷ 3 hours. That equals approximately 0.67 gallons per hour. Therefore, the scientist is using around 0.67 gallons of liquid for each hour he works.

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Saundra room is 15 ft long by 9 feet wide. She is putting carpet in the room and cost $3.75 per square foot how many how much will it cost to put carpet in Sandra's room​

Answers

Answer:

=$506.25

Step-by-step explanation:

area=15×9=135

1m²=$3.75

135m²=?

135×3.75÷1=506.25

A tennis club has 8 tennis ball launchers to use for lessons. Each launcher holds 27 tennis balls. If a can of tennis balls contains 3 balls, how many cans of tennis balls will be needed to fill 3/4 of the launchers one time?

Answers

Answer:

54 cans

Step-by-step explanation:

8 Tennis ball launchers.

Each hold 27 balls.

One can = 3 balls.

We have 27 * 8 total balls which is equivalent to 216.

We want to find 3/4 of the total which is 216 * 0.75.

This is then = to 162

Since one can holds 3 balls.

162/3 = 54 cans.

Therefore, to fill the total of 3/4 of launchers within a lesson, 54 cans of tennis balls will be needed.

Answer:

Number of cans is 6.75

Step-by-step explanation:

According to the question,

One launcher holds 27 tennis balls

3/4 launcher hold y tennis balls

Cross multiply

Y= 3/4×27

Y= 81/4

Y= 20.25 tennis balls

To determine the number of cans

One can holds 3 tennis balls

Z can holds 20.25 tennis balls

Cross multiply

3z= 20.25

Z= 20.25/3

Z=6.75 cans

An iPhone was marked down by [1/4] of the original price in May. If the original price was $950, What did the iPhone sell for?

Answers

Answer:

$712.50

Step-by-step explanation:

Answer:

=712.5

Step-by-step explanation:

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