Given an absolute value function f(x)=|x|, what is the effect of adding a constant k to the function?

Answers

Answer 1

Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up

Step-by-step explanation:

just took the test


Related Questions

75% of 48 show all the work

Answers

Answer:

36

Step-by-step explanation:

75%=0.75

0.75*48=3/4*48=144/4=36

Answer:

75% of 48 is 36.

Step-by-step explanation:

So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.

50% of 48 = 24

Since 25% is half of 50% all we have to do is divide by 2.

24 ÷ 2 = 12.

Now, we multiply by 3.

12 * 3 = 36

So, the answer is 36.

Hope this helps! :)

9. Given: TE = GH, EF = HF,
Proof
Fis the midpoint of GI
Prove: AEFI > AHFG
G
10. G
Proof
PE
E
ZE
H

Answers

Souljem

Step-by-step explanation:

souljem yes yes yes

what factors you think determines more earthquakes will occur in an area

Answers

Answer:

Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.

The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place

Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

1. Javier scored 78% on the test. Write this
percent as a fraction in simplest form and
as a decimal.

Answers

78%
As a fraction: 39/50

As a decimal: .78

Answer:39/50

Step-by-step explanation:

A fern grows 7/9 of a foot per year. How much will it grow in 5 years

Answers

Answer:

46.6 inches in 5 years

Step-by-step explanation:

Answer: 46.6 inches in five years

Step-by-step explanation:

SO you wanna multiply 7.9 by 5 to get your grand total

Can anyone solve ? This one is beyond me

Answers

Answer:

[tex]Rate = 0.13[/tex]

Step-by-step explanation:

Given

[tex]y = \sqrt[3] x[/tex]

Required

Determine the average rate of change over [2,7]

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]b = 7[/tex] and [tex]a = 2[/tex]

So, we have:

[tex]Rate = \frac{f(7) - f(2)}{7-2}[/tex]

[tex]Rate = \frac{f(7) - f(2)}{5}[/tex]

From the table:

f(7) = 1.91

f(2) = 1.26

[tex]Rate = \frac{1.91 - 1.26}{5}[/tex]

[tex]Rate = \frac{0.65}{5}[/tex]

[tex]Rate = 0.13[/tex]

Mark monitors the growth of a colony of bacteria in his biology lab. He begins with a colony of 100 bacteria. After 24 hours, the colony has grown to 305

bacteria. After 24 more hours, the colony consists of 897 bacteria. What is a reasonable estimate of how many bacteria he can expect to count in the colony

when he returns 24 hours later?

Answers

Answer:

After next 24 hours, bacterial population would be [tex]1433[/tex]

Step-by-step explanation:

The initial bacterial count at time = 0  was [tex]100[/tex]

At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]

At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]

As we know that

[tex]P = P_0 * e^{rt}[/tex]

The growth rate of bacterial population is equal to

[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]

Substituting the above values we get -

[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]

Count of bacteria after next 24 hours

[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]

Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.

Answers

Answer:

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.

The angle of depression from Coach Jump to the quarterback is 27.6°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

In this diagram,

C represents Coach Jump,

B represents the base of the platform,

θ represents the angle of depression from Coach Jump to the quarterback.

Now,

We want to find θ.

We can use the tangent function,

So,

tan Ф = 12/23

Ф = [tex]tan^{-1}[/tex] 12/23

Ф = 27.55°.

Thus,

The angle of depression from Coach Jump to the quarterback is 27.6°.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Estimate the sum of 412.02 and 513.87 to the nearest whole number?

Answers

412.02+513.87=925.89 and you always round up anything at 50 or higher to the next whole number so it would be 926!

If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.

Which property is shown?

reflexive property
substitution property
symmetric property
transitive property

Answers

Answer:

B

Step-by-step explanation:

The answer is b. substitution property

substitution property

Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden​

Answers

Given:

Brianna had a garden Box that is 8' by 12'.

She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].

To find:

The area of her new garden.

Solution:

Let the length and width  of the original garden are 8 ft by 12 ft respectively.

Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].

Length of the new garden is

[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]

Width of the new garden is

[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]

Now, the area of the new garden is

[tex]Area=Length\times Width[/tex]

[tex]Area=(4)\times (6)[/tex]

[tex]Area=24[/tex]

Therefore, the area of the new garden is 24 sq. ft.

Find the difference
(4y+3)-(y-2)
need it quick

Answers

Answer: 3y+5

Step-by-step explanation: 4y+3−(y−2)

4y+3+−1(y−2)

4y+3+−1y+(−1)(−2)

4y+3+−y+2

(4y+−y)+(3+2)

3y+5

member owes $16.00 and pays $20.00 in Cash. The change due is $3.50.Provide the amount owed using the smallest number of bills and coins possible​

Answers

Answer:

10 dollar bill, 5 dollar bill, and one dollar.

In Michelle's homeroom, 9/15 of the students ride the bus to school, 4/12 get a car ride,
and 2/30 walk to school. Is the following statement true or false and show your work to
prove how you know. In simplest form, 3/5 of the students ride the bus to school.





Please help me I give 17 points:(

Answers

Answer:

74

Step-by-step explanation:

Jordan is saving up to buy a new jacket. He already has $60 and can save an additional $6 per week using money from his after school job. How much total money would Jordan have after 6 weeks of saving? Also, write an expression that represents the amount of money Jordan would have saved in ww weeks.

Answers

Answer:

Jordan will have $96 in all after 6 weeks of saving.

Expression will be f(w)= 60+ 6w

brainliest please

-15 - 4x = -11
help please?​

Answers

Answer:

if ur solving for x the answer is x=-1

Step-by-step explanation:

-15 - 4x = -11

=> -4x = -11 + 15

=> -4x = 4

[tex] = > x = \frac{4}{ - 4} [/tex]

=> x = -1 (Ans)

Raquel is reading a book that has 48 pages
On Monday she read 1/8 of the book
On Tuesday she read 3/8 of the book
How many pages does she have left to read in order to finish

Answers

Answer:

24

Step-by-step explanation:

1/8+ 3/8= 1/2

1/2 od 48 is 24.

If you have two horse pastures, one is. 25 feet by 45 feet and the other is 40 feet by 60 feet, what is the perimeter of the two horse pastures together? Only the perimeter;)

Answers

One field is 25 + 45 + 25 + 45 = 140 feet
Second field is 40 + 60 + 40 + 60 = 200 feet.
Therefore, all together, the two fields are 340 feet in perimeter together

and please explain how you got the answer :)

Answers

Answer:

8. 548.9       9.349.3

Step-by-step explanation:

10% of 499 is 49.9

30% of 499 is 3*49.9=149.7

499+49.9=548.9

499-149.7=349.7

Dewayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 hour

Answers

Answer:

6/8 of a chapter

Step-by-step explanation:

3/8 = 1/2 of an hour

1/2 + 1/2 = 1

Basic Fact ^^

So, we need to add 3/8 + 3/8 or 3/8 x 2

We get : 6/8

He didn't read a whole chapter but he did read 6/8 of a chapter.

Answer:

Step-by-step explanation:

There are 60 min in an hour - 1/5 of an hour=20mim

3/8 x 5 = 15/8 = 1 & 7/8 chapters

Today, 8 friends went out for lunch. Their total bill was $68.35, including tax and gratuity. One of them ordered only soda and needed to pay only $1.78.
The other 7 friends ordered the same daily special. How much did each of the other friends need to pay?
sil

Answers

68.35 - 1.78 = 66.57

66.57/7 = $9.51

Select two expressions that are equivalent to v.

Answers

There is not image we cannot see the picture

Find Sin(r)

Answers to pick from

1.7/25
2.25/24
3.7/24
4.24/25

Answers

it would be 7/25. sin= opposite/hypotenuse

Annika saving money for a trip. She's able to save $75 a week. Her friend from Iceland Eva is also saving money. Eva is able to save 9000 Kronas (Icelandic money) each week. If $4 is equal to 509 Kronas, who is saving at a greater rate?
please show your work/steps​

Answers

Answer:

Annika is saving more money than Eva

Step-by-step explanation:

first I divide 9000 by 509 and got 17.68 then I multiplied that by 4 and got 70.72 so that is what eva makes a week in us dollars


A rectangular honeycomb measures 35.1 cm by 32.4 cm. Approximately how many cells does it contain?​

Answers

Answer:

1,137.24

Step-by-step explanation:

Every worksheet is made up of thousands of rectangles, which are called cells. A cell is the intersection of a row and a column—in other words, where a row and column meet. Columns are identified by letters (A, B, C), while rows are identified by numbers (1, 2, 3).

So all you do is multiply like if you were finding the area:

35.1 x 32.4 = 1137.24.

Why is the product of 9s diagonal?

Answers

Answer:

. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

Step-by-step explanation:

The number 99 is divisible by 9 . The number 999 is divisible by 9 , and so on. Any number that is a string of nines is divisible by 9 as it is 9 multiplied by a string of ones. This adds one to the sum of its digits, but you wind up with a number one more than a multiple of 9.

have a nice day and sorry f it is wrong >< T_T

HELP!!!

How many solutions can be found for the system of linear equations represented on the graph?

A) no solution

B)one solution

C)two solutions

D)infinitely many solutions

Answers

The answer is One solution because the two lines are crossing each other and has one point in common

Help me plssssss il give brainiest

Answers

Answer:

Part A: Venti

Part B: (Check the Step-by-step explanation)

Step-by-step explanation:

The unit rate for these drinks is ounce per $.

Tall: 12 oz/$3.55 ≈ 3.38 oz/$

Grande: 16 oz/$4.25 ≈ 3.76 oz/$

Venti: 20 oz/$4.55 ≈ $4.40/oz

Out of all of these, the unit rate for the Venti is the greatest.

The revenue​ (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x

Answers

Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12

Solve the equation 52 - 3.5y - 4y = 4y + 6.

Answers

Please leave a thanks <3

Answer:

5.04

Step-by-step explanation:

=> 52 -3.5y -4y = 4y -6

Take everything with y to left and numbers to right

=> -3.5y -4y -4y = -52 -6

=> -11.5y = -58

=> 11.5 y = 58

=> y = 58/11,5= 5.04

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