Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.

Answers

Answer 1

Answer:

g(x) = |x - 2| - 9

Step-by-step explanation:

Translations of a function f(x):

Translation of f(x) by a units to the right is given by f(x - a).

Translation of f(x) by a units to the left is given by f(x + a).

Translation of f(x) by a units down is f(x) - a

Translation of f(x) by a units up is f(x) + a

Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.

2 units right: f(x - 2) = |x - 2|

9 units down: f(x - 2) - 9 = |x - 2| - 9

The answer is: g(x) = |x - 2| - 9


Related Questions

A partially completed equation for a line is shown below. If the line passes through the point (-4, 6). Write the equation for the line.

y=-3x+by=−3x+b

Answers

Answer:

Nice

Step-by-step explanation:

Karma..... ;)

Nice hope this helps

Which relationships describe angles 1 and 2?
Select each correct answer.​

Answers

Answer:

3

Step-by-step explanation:

1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent​

Answers

Answer:

He loses 100 Rs. during the process of buying and selling.

Step-by-step explanation:

1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.

2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.

3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.

4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.

( Now there are 2 scenarios in this case )

1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.

2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .

( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )

I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.

I hope this helped have a good day!

Answer:

Profit %= 50%

Step-by-step explanation:

Price for 40 bulbs: Rs.800

Price for 1 bulb each: 800/40= Rs 20

Price for 10 bulbs= 10*20=Rs. 200

This means that Rs. 200 were wasted due to 10 bulbs being broken.

The remaining bulbs; 30 are sold at a price of Rs 30 each.....

In reality, the price of the remaining 30 bulbs: 30*20=600

Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900

Profit=  SP-CP; Profit= 900- 600= Rs 300

Profit%= 300*100/600= 50%

Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.

Answers

answer is 30°

50-20=30°

hope it helps

please help me with this

Answers

There is no picture or information!

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

ASAP!! WILL MARK BRAINLIEST!!!!!!!!
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5^x)


x f(x)= 2.5x - 10.5 g(x) = 64(0.5^x)


2

3

4

5

6



Answer in table format, picture below

Answers

Answer:

x = -0.35

Step-by-step explanation:

tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x

Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x

Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35

Solve for the unknowns.
a, b , c ,d

Answers

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?

Answers

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

125^2x = 5^4x-4 solve for x

Answers

Nolur acil lütfen yalvarırım sana

Answer:

x=-2

Step-by-step explanation:

[tex]125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2[/tex]

А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С

Answers

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answers

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10

Answers

Answer:

and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d

Step-by-step explanation:

ishdbd works zjsbdjs s nsie djsid

Ruby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.​

Answers

Answer:

4 dozens.

Step-by-step explanation:

Since Ruby, Joey and Sully are baking cookies together, and they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies, since Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter, if the students have plenty of other ingredients that they need, to determine how many whole batches of a dozen cookies can they make the following calculation must be performed:

Flour: 2 + 1 + 1 1/4 = (4 1/4) / (3/4) = 4.25 / 0.75 = 5.666

Butter: 1/4 + 1/2 + 3/4 = (1 1/2) / (1/3) = 1.5 / 0.333 = 4.504

Thus, a maximum of 4 dozen cookies can be made.

A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9

Answers

Answer:

1/12

Step-by-step explanation:

1) f(x) = x 2+ 3x - 18 2) g(x) = x 2+ 2x - 120 3) h(x) = x 2+ 7x - 17 4) k(x) = x 2+ 9x + 20.25 5) s(x) = 4x 2– 5x - 21 6) t(x) = 16x 2+ 9x + 20 7) f(x) = -2x 2+ 10x - 5 8) r(x) = -3x 2- 5x + 2

Answers

1-9 eusnanednjwnxjnd is 10

Eliana treated her sister to lunch while visiting her in Seaside. Their lunch cost $100, and the
sales tax in Seaside is 8%. If Eliana left a 20% tip on the $100, how much in total did she
pay?

Answers

Answer:

multiply the numbers

128

Step-by-step explanation:

Answer:

128 is the answer

Step-by-step explanation:

your welcome!

HELLPPPP PLEASE
I WILLL MARK YOU BRILL

Answers

Answer:

13

Step-by-step explanation:

71-6=65

65/5=13

therefore the answer is 13

5d + 6 = 71

5d = 71 - 6

5d = 65

d = 65/5

d = 13

lin run 5 laps around a track in 10 minutes. How many minutes per lap is that​

Answers

Answer:

2min per lap

Step-by-step explanation:

The answer would be 2 minutes per lap

Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17

Answers

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

Someone please help me answer this

Answers

Answer:

2^10

Step-by-step explanation:

When multipying indices, if the base is the same then just add the indices.

Which one, please?!
Quickly!

Answers

Answer:

c) FJ and GH

Step-by-step explanation:

A set of perpendicular lines form 90 degrees. We can see a 90 degree “square” in the image formed by FJ and GH.
So the answer is choice C) FJ and GH

Which fraction is equivalent to the whole number 8?

Answers

Answer:

16/2, 32/4, 64/8 ...

Step-by-step explanation:

There are multiple fractions that equal 8

At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?

Answers

Answer:32

Step-by-step explanation:25+ 1(7)

Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216

Answers

Answer: OD) 216

Step-by-step explanation: 6^3 multiple it three times 6x6x6=216

this one anyone can help

Answers

Answer:

Diagram 1:

a = 54°

b = 54°

Diagram 2:

a = 74°

b = 106°

c = 106°

d = 65°

e = 65°

Step-by-step explanation:

Diagram 1:

a = 54° (alternate angles are equal)

b = a (vertically opposite angles are equal)

a = 54°

Therefore,

b = 54°

Diagram 2:

a = 74° (alternate angles are equal)

a + b = 180 (sum of angles on a straight line)

74 + b = 180

Collect like terms

b = 180 – 74

b = 106°

74 + c = 180 (sum of angles on a straight line)

74 + c = 180

Collect like terms

c = 180 – 74

c = 106°

d = 65° (corresponding angles are equal)

e = d (vertically opposite angles are equal)

d = 65°

Therefore,

e = 65°

factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor

Answers

Answer:

[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]

Step-by-step explanation:

[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Find the volume of the beach ball and the volume of the toy ball. How many times greater is the volume of the beach ball than the volume of the toy ball?
A.THE VOLUME OF THE BALL IS 904 CUBIC INCHES. b. THE VOLUME OF THE BEACH BALL IS 678 CUBIC INCHES. c.the volume of the beach ball is 452 cubic inches

Answers

Answers:

Volume of beach ball = 904 cubic inchesVolume of toy ball = 113 cubic inchesThe beach ball is 8 times greater compared to the toy ball

===============================================

Work Shown:

Beach ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(6)^3 .... the beach ball has diameter 12, so radius is 6

V = 904.32

V = 904 cubic inches is the approximate volume of the beach ball

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

Toy ball

V = volume of sphere

V = (4/3)*pi*r^3

V = (4/3)*3.14*(3)^3 .... the toy ball has diameter 6, so radius is 3

V = 113.04

V = 113 cubic inches is the approximate volume of the toy ball

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

Divide the two volumes to find that 904/113 = 8

This means that the beach ball is 8 times greater in volume compared to the toy ball

We can say

[tex]\text{Beach ball volume} = 8*\left(\text{toy ball volume}\right)[/tex]

The beach ball's volume is 7238.23and if we round that would be 7238 and the volume for the toy ball is 904.78 and if we round that it would be 905.So, it's around 7 times greater. The difference after they are rounded is  6,333.

Hope this helps.

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