The function P(x)=2x+1 is dilated by the function I(x)=1/2P(x). Which function rule represents I(x)?

Answers

Answer 1

We will see that we can write the function I(x) as:

I(x) = x + 1/2.

How to get the function I(x)?

We know that I(x) is a vertical dilation of scale factor 1/2 of P(x), where:

P(x) = 2x + 1.

The vertical dilation will be written as:

I(x) = (1/2)*P(x).

If we replace P(x) by the actual function, we will get:

I(x) = (1/2)*(2x + 1) = x + 1/2.

Then we can conclude that the function I(x) is:

I(x) = x + 1/2.

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Answer 2

Answer:

I(x)=x+1

i got it right on a quiz


Related Questions

1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?

A. (-1,3)

B. (0,0)

C. (-3,4)

D. (-1,0)

Answers

Answer: I believe the answer is C. (-3,4)

Step-by-step explanation:

I have a couple of questions I need help with.

This is a multiple answer question:
A) Is 120.2 + 20.03 < 120.003 + 20.20 correct?
B) Is 22 + 7.6 = 20 + 9.600 correct?
C) Is 100.002 + 8.503 > 98 + 10.5 correct?
D) Is 72.2 + 82.3 < 70.6 + 84.1 correct?

any help will be much appreciated

Answers

Answer:

b

Step-by-step explanation:

b is correct i think

2

to get a free meal tom at his fav resturant, tom needs to spend $50 or more at the resturant. he has already spent 30.25$ how much more does tom need to spend to get his free meal

Answers

to find:

how much more Tom needs to spend to get the free meal.

solution:

subtract the amount he has spent from the amount he needs to spend to find how much more he needs to spend.

$50 - $30.25

= $19.75

Tom needs to spend $19.75 to get his free meal.

NEED HELP NOW!!!!!!!

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

the baseline (where the height hits at a 90° angle) is 4 m.

the height is 3.7 m.

so, the area is

4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²

There were 15 birds in the park. Some (n) of them flew away. Which expression could be
used to figure out how many birds are still remaining in the park?

Answers

Answer:

15-n

Step-by-step explanation:

subtract the number that flew away from the total number of birds that were there

Find the length of the third side to the nearest tenth

Answers

The answer is 1.4 - (This is rounded to the nearest tenth.)

Answer: ≈ 1.4.

Step-by-step explanation: To find the hypotenuse of a triangle (the longest side of a triangle), you need to add the legs (the two sides of the triangle that are not the hypotenuse). You need to have ^2 when adding each leg.  For example, both legs are 1 so when you're adding them, the equation should look like this--> 1^2 + 1^2.  Then, once you find the answer to that, you need to find the square root of the answer.  The work is done below:

1^2 + 1^2 = 2.

√2 ≈ 1.41421356 or ≈ 1.4.

Therefore, your answer is ≈ 1.4.

Let me know if this is right! :)

The following histogram shows the number of minutes that 29 students took to complete an exam.

Based on this histogram, about 10% of students took less than

minutes to complete the

exam.

Time spent taking an exam

12

10

Frency

9
.

20

Answers

Using the histogram, it is found that about 10% of students took less than 40 minutes to complete the exam.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

Researching the problem on the internet, it is found that the histogram states that:

One student completed the test in less than 10 minutes.Two students took between 30 and 40 minutes to complete the test.

10% of 29 is approximately 3, hence about 10% of students took less than 40 minutes to complete the exam.

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I need help with some geometry workbook pages!

Answers

Answer: D

Step-by-step explanation:

. Mark drove 180 miles in 3 hours at
a constant speed. Let D equal the
distance traveled and t equal the time
traveled. Which of the following is
the constant of proportionality?

A) 3, as in D=3t

B) 60, as in D=60t

C) 180, as in D=180t

D) 540, as in D=540t

Answers

Answer:

d = 60t

Step-by-step explanation:

distance = d

time = t

every hour 60 miles are travelled so its 60t

referring to 60*time eg 60*3 = 180

The answer is B because since you traveled 180 miles in 3 hours you take 180/3 which is 60 and since D is equal to the distance traveled and t is the time in hours traveled D=60(3) which is 180

The diameter of a circle is 18 ft. Find its area in terms of pi

Answers

Answer:

81π

Step-by-step explanation:

To find the area of a circle, the formula is πr^2

r=radius, and radius is half the diameter, so it is 9.

Plug the radius into the formula to get 81π

(9^2*π)

If this answer helped you, I would greatly appreciate the brainliest :D

Find the circumference and area of the circle to the nearest hundredth. Use 3.14 for π. Round to the nearest hundredth if necessary.


A) 452.16 cm2
B) 37.68 cm2
C) 113.04 cm2
D) 18.84 cm2

Answers

Answer:

C) 113.04

Step-by-step explanation:

A=πr2

A=3.14 · 6 ≈ 113

A. Dilation

B. Rotation

C. Reflection

D. Translation

Answers

Answer:

Reflection

Step-by-step explanation:

Figure 1 was reflected accross the y axis :)

Have an amazing day!!

Please rate and mark brainliest!!

i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!

Answers

Answer:

This is pythagoras

A squared plus b squared equals c squared.

The unknown side is c as its the hypotenuse,

So the length of the first side is 6.4 this squared = 40.96

The other length is 12 as 6 is the radius so the diameter of the circle amd therfore the length of the triangle is 12.

12 squared is 144

144 + 40.96 = 184.96

The length of c squared is 184.96

To find the length of c alone we calculate the square root.

The square root of 184.96 = 13.6

? = 13.6

Anyone know this?????

Answers

Answer:

102 mm²

Step-by-step explanation:

You can split the shape into two different shapes: a trapezium and a rectangle.

Area of rectangle = length x width

                             = 10 x 3 = 30mm

Area of trapezium = a + b / 2 x h

h = 9 - 3 = 6mm

                              = 10 + 14 / 2 x 6

                              = 72 mm

Total area = 72 + 30 = 102 mm²

Answer
= 102 mm2
First option

what is 1/4x-6=-10 please i need something by tomorrow.

Answers

Answer:

If you need what x equals its -16

x = -16

Explanation:

[tex]\rightarrow \sf \dfrac{1}{4} x - 6=-10[/tex]

collect variables

[tex]\rightarrow \sf \dfrac{1}{4} x =-10+6[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{4} x =-4[/tex]

cross multiply

[tex]\rightarrow \sf x=-4*4[/tex]

final answer

[tex]\rightarrow \sf x=-16[/tex]

i-Ready Solve Multi-Step Equations ) Solve the equation -2y + 6 = -12. y =​

Answers

Get y by itself.
Subtract 6 from both sides.
-2y equals -12 minus 6
That is -2y equals -18
Solve for y by dividing by -2
Y equals -18/-2
That is y equals 9
Answer is 9
Mark as the best!

Find the area of a regular octagon with an apothem length of 10 and a side length of 6.

Answers

Answer:

A = 240 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then

A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²

Answer:

Step-by-step explanation:

Preliminary task

Draw a regular octagon.

Draw a perpendicular from the side's midpoint to the center. (That is the  apothem).

Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.

The octagon has 8 such triangles.

Area one triangle

Area = 1/2 * side *  apothem

side = 6

apothem = 10

Area = 1/2 6 * 10

Area = 30

Area of 8 such triangles.

Area = 8 * area of 1 triangle

area 1 triangle = 30

Area of 8 such triangles = 30*8 = 240

Answer 240

Jenny chose two cards randomly from a deck. What is the probability of getting an ace and then a king?​

Answers

like a 2 percent chance
because if there is 52 cards in a deck

Select the correct answer. a cylinder has a radius of 10 inches and a height of 6 inches. about what is its volume in cubic inches? use 3.14 for π. a. 60 cu. in. b. 188.4 cu. in. c. 628 cu. in. d. 1,884 cu. in.

Answers

Answer:

Its d

Step-by-step explanation:

because you square 10 and you get 100 and you have to multiply 6 with 100 which is 600 and then you multiply the 3.14 which gives you 1,884

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9. A cooler contains 4.5 gallons of water and is filling up
at a rate of 0.1 gallons per second. A second cooler
contains 7 gallons of water and is draining at a rate of
0.25 gallons per second. Which could be used to
determine the number of seconds it would take for each
cooler to contain the same amount of water?

Answers

The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.

When the coolers would have the same amount of water?

Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t

Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t

Where t represents seconds

When they have the same amount of water, the two above equations would be equal

4.5 + 0.1t = 7 + 0.25t

Combine similar terms

7 - 4.5 = 0.1t - 0.25t

2.5 = 0.75t

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Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Need help ASAP! WILL GIVE BRAINLIEST!

Answers

Answer:

see explanation

Step-by-step explanation:

45,612 × [tex]\frac{1}{2}[/tex] = 22,806

Thus Beth sold half the number of books that Rodney sold

(4)

[tex]\frac{1}{2}[/tex] × 2,175 = 1,087.5 < 2,175

find the m < VXW of the parallelogram

Answers

Answer: A

Step-by-step explanation:

Find the values of the variables.
31
W
Х
V
у
68°
Z

Answers

Answer:

X=121, y=59, w=59, z=53

Step-by-step explanation:

To find w, we know that the interior angles of a triangle are 180°. Thus ↓

180-31-90=59

For y, we know that y and w are opposite angles. Therefore, y = w = 59.

To find x, we know that there is a one straight line, so therefore we use ↓

180-59=121

Lastly, to find z, we know that the interior angles of a triangle are 180°. Thus ↓

180-59-68=53

I've attached a photo for better understanding. Hope this helps =)

I NEED HELP ASAP PLEAS HELP ME

Answers

Answer:

m=117

Step-by-step explanation:

So this area is 360 degrees

What you can see the 68 degrees is congruent to its opposing side so we can eliminate those. 360 - 126= 234

We can see m is congruent to U

234/2=117

m=117

What is the perimeter of the figure?

Answers

Answer:

68.7

Step-by-step explanation:

Lets say this triangle is represented as ABC.

AB = BC

So:

23+23+22.7 = p

p = 68.7

caitlyn is on her school's softball team. so far Caitlyn has 39 hits in 75 times at bat. what is her batting average?

Answers

Answer:

0.52

Step-by-step explanation:

[tex]batting \: average \: = \frac{39}{75} \\ = 0.52[/tex]

Enola owns a small business selling ice-cream. She knows
customers paid cash, 76 customers used a debit card, and 10 customers used a credit
card. .
Based on these results, express the probability that the next customer will pay with
something other than a credit card as a decimal to the nearest hundredth.

Answers

the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.

The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:

Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86

Therefore, the probability that the next customer will pay with something other than a credit card is:

P = Total customers who paid cash or used a debit card / Total number of customers

P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)

P = 0.93

So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

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3 pounds to 18 ounces

Answers

Answer:

divide the pounds to get 18 ounces

Step-by-step explanation:

i think?

Is the following a statistical question?
How much do new cars cost?

Answers

No because a statistical question needs numbers
No a statistical question always has numbers
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