If you apply the changes below to the absolute value parent function, f(x) = [xl,
what is the equation of the new function?
• Shift 4 units to the right.
Shift 6 units up.
A. g(x) = |x-6] + 4
B. g(x) = 5x – 4[ + 6
C. g(x) = 5x + 4[ + 6
D. g(x) = 5x + 6 + 4

Answers

Answer 1

Answer:

B:  g(x) = Ix - 4I + 6

Step-by-step explanation:

First, let's describe in a general way the transformations.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Now we have the function:

f(x) = IxI

And we first have a shift of 4 units to the right, this is written as:

g(x) = f(x - 4)

Now we have a shift of 6 units up

This is written as:

g(x) = f(x - 4) + 6

Now, knowing that f(x) = IxI, we can write

g(x) = Ix - 4I + 6

Option B.


Related Questions

What is the inter-quartile range of the given data set?

3
6
2

Answers

Answer:

IQR = 3

Step-by-step explanation:

That would be 20 - 17, or 3.

SOMEONE PLEASEEEEW HELP ME OUTTT

Answers

Answer:

By Double splitting method

=> 2x²-7x+5

=> 2x²-2x-5x+5

=>2x(x-1)-5(x-1)

=>(2x-5)(x-1)x=5/2x=1

______________

Hope it helps

-------☆゚.・。゚ƒöᏝϗʆѻʁᶥąռ¹₃

Answer:

Factorise 2x^2-7x+5

Step-by-step explanation:

2x^2-7x+52x^2-2x-5x+52x(x-1)-5(x-1)(2x-5)(x-1) 2x-5 =0 or x-1 =0 2x=5 x=1 x=5/2 Therefore either x =5/2 or x=1

hope it helps

Find the area of the composite figure

Answers

Answer:

370mm

Step-by-step explanation:

15mm×30mm=450mm

8mm×10mm

450mm-80mm =370mm

Write 44/12 as a simplified mixed number.

Answers

Answer:

3 2/3.

Step-by-step explanation:

44 divided by 12 = 3 with remainder 8.

44/12 = 3 8/12

= 3 2/3.


What is the surface area of the solid?

А. 520 square inches

B. 660 square inches

C. 260 square inches

D. 470 square inches

Answers

Answer:

A. 520 square inches is your surface area of the rectangular prism

a 520
a =2 (wl+hl+hw)

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Which model best represents the data?

y = 47(1.191)x
y = 34(1.204)x
y = 26.9x – 1.3
y = 27x – 4

Answers

Answer:

Y=26.9x-1.3is the answer

Step-by-step explanation:

The best model represents y = 26.9x – 1.3

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

As, the data given about productivity is well defined by y = 26.9x – 1.3

As, we have 4 functions so by putting the values we get

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

So, the most accurate is (C)y = 26.9x – 1.3.

Learn more about this concept here:

https://brainly.com/question/4505098

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Analyze the graph below to identify the key features of the logarithmic function.

Answers

Answer:

is there just 2 answers too this question? anyways the answer b

heyy! i’ll give brainliest please help.

Answers

Answer:

I think its A? Not sure though

Step-by-step explanation:

Not sure, but It might be B.

The base edge of the regular triangular pyramid is b=10 cm and altitude of the base hb ≈ 8.66 cm. The slant height of the pyramid is k=8 cm. Find: a Lateral area of the pyramid

Answers

Answer:

Lateral Area: 120                                                                                    

Surface Area: 163.3

help me plsssssssssssssssssss

Answers

Answer:

s = 44.5 m

Step-by-step explanation:

The radius of the circle, r = 17 m

Central angle, [tex]\theta=\dfrac{5\pi}{6}\ rad[/tex]

We need to find the length of the arc. Let the length of the arc is s.

[tex]s=r\theta\\\\=17\times \dfrac{5\pi}{6}\\\\s=44.5\ m[/tex]

So, the length of the arc is equal to 44.5 m.

PLEASE HELP
The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

The answer should be 63.

Find the sum of the first 32 terms of the arithmetic sequence 24, 20, 16,

Answers

Answer:

[tex]S_{32}[/tex] = - 1216

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = a₂ - a₁ = 20 - 24 = - 4 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 24) + (31 × - 4) ]

     = 16(48 - 124)

     = 16 × - 76

     = - 1216

Help please explanation and thank you!

Answers

Answer:

D

Step-by-step explanation:

A: The sum of Y and H is +. If the scale is correct, this is not true. Y is further away from 0 than H is. Suppose H = 5 and Y = -7. Then Y + H = 5 + -7 = - 2

B: E and Y area both minus. The minus signs cancel. Therefore the answer will be + B is wrong.

C: H>0 and E<0. A negative times a positive is a negative not a positive. C is wrong

D: A - H Suppose A = 2 and H = 5 . Then A - H = 2 - 5 which is - 3

This is your answer.

The reason is that H is further from the 0 than A is.

Find the difference of (2x -3) - (x-1) . *
5 points
x - 4
x - 2
x + 2
x + 4

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](2x - 3) - (x - 1) \\ = 2x - 3 - x + 1 \\ = 2x - x - 3 + 1 \\ = x - 2[/tex]

Option B. x - 2 is the correct answer.

What is the slope of the line?

Answers

what line? did you mean to add a picture?

1) IF (a, b ond B = (x, y) find BxH,
And show in arrow diagram

Answers

Answer:

Your question seems inaccurate. Sorry,please give the correct question.

OnOff







Item 3
Solve for k.



34k+38k=12



Enter the answer, as a whole number or as a fraction in simplest form, in the box.

k =

Answers

Answer:

2?

Step-by-step explanation:

Answer: = 4/9

enter the answer as a whole number or as fraction in simplest form

Step-by-step explanation:

3/4 k+3/8 k=1/2 = 4/9

enter the answer as a whole number or as fraction in simplest form

so it would be 4/9

Im with k12 and  just took it and i typed 6 said it was wrong it really is 4/9

WILL GIVE BRAINLIEST! PLS HELP

Answers

I read it all and see your picture it think it’s going to be the 3rd one sir

Please help me y’all!!

Answers

Answer:

57

Step-by-step explanation:

Answer:

[tex]57[/tex]

Step-by-step explanation:

This is a plug-and-chug type problem. Substituting given values, we have:

[tex]\frac{3}{4}|-4-2(6^2)|,\\\\\frac{3}{4}|-4-2(36)|,\\\\\frac{3}{4}|-4-72|,\\\\\frac{3}{4}|-76|,\\\\\frac{3}{4}(76)=\boxed{57}[/tex]

Solve -7g - 2 = - 30. Show your steps.

Answers

Answer:

g = 4

Step-by-step explanation:

-7g - 2 = -30

Add 2 to both sides to get:

-7g -2+2 = -30+2

which is equal to:

-7g = -28

now divide both sides by -7 to get the value of g which is:

g = -28 / - 7

--> g = 4

Answer:

g = 4

Step-by-step explanation:

First you can add 2 to both sides to isolate the x term:

-7g -2 = -30

      +2   +2

-7g = -28

Now, you can divide by -7 both sides to find g,

-7g = -28

÷ -7     ÷ -7

g = 4

The price of an item has been reduced by 65%. The original price was $25.

Answers

25 • 0.65 = 16.25
25 - 16.25= 8.75
The new price is $8.75

help me solve this please

Answers

Answer:

2384

Step-by-step explanation:

40x50=2000

40x24/2=384

2000+384=2384

Answer:

2384

Step-by-step explanation:

1. Approach

To solve for the area of the given figure, divide the figure up into two parts. This will ensure that one can find the area of each individual part, and then add the two resulting areas up to find the total area of the figure. One can split this figure into a rectangle, and a triangle.

2.Find the area of the rectangle

The rectangle will have the following dimensions,

(40) x (50)

To find the area of a rectangle, one will use the following formula,

(length) * (width) = (area)

Therefore, the area is the following,

(40) * (50) = 2000

3.Area of the triangle

3a. Approach

To find the area of a triangle, one will use Heron's formula. Herons' formula states the following,

[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where (s) is the semi-perimeter or half of the perimeter, and (a), (b), and (c) are the sides of the triangle. This requires that one knows all of the sides of the triangle.

3b. Find the unknown side and semi-perimeter

It is given that the triangle is right indicated by a box around one of the angles), thus one can use the Pythagorean theorem to find the length of the unknown side. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) represent the legs, the sides adjacent (next to) the right angle. Moreover, (c) represents the hypotenuse or the side opposite the right angle. Substitute in the given values and solve for (b),

[tex](40)^2=(24)^2+(b)^2\\[/tex]

Simplify,

[tex]1600=576+b^2[/tex]

Inverse operations,

[tex]1024=b^2\\\sqrt{1024}=b\\32=b[/tex]

Add up all of the sides of the triangle and divide by (2) to fin the semi-perimeter,

[tex]\frac{a+b+c}{2}\\\\=\frac{20+24+32}{2}\\\\=48[/tex]

3c. Find the area of the triangle

Substitute into Heron's formula,

[tex]\sqrt{s(s-a)(s-b)(s-c)}\\\\=\sqrt{48(48-32)(48-40)(48-24)}\\\\=\sqrt{48(16)(8)(24)}\\\\=\sqrt{147456}\\\\=384[/tex]

Add the area of the rectangle and triangle together to find the answer,

384 + 2000

= 2384

If the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?

Answers

Answer:

Primary consumer = 100kcal

Secondary consumer = 10kcal

Tertiary consumer = 1kcal

Step-by-step explanation:

In a food chain, transfer of energy occurs when one organism feeds on another organism. However, only 10% of energy is transferred from one organism to another because energy is lost as heat when the organisms perform metabolism.

In a typical food chain consisting of a producer, a primary (1st), secondary (2nd) and tertiary (3rd) consumer, if there are 1000 kcal of energy available in the producer, then:

- Primary consumer will obtain; 10% of 1000Kcal

10/100 × 1000

Primary consumer = 100kcal of energy.

- Secondary consumer will obtain as follows; 10% of 100kcal available energy

= 10/100 × 100

Secondary consumer = 10Kcal of energy.

- Tertiary consumer will obtain as follows; 10% of 10Kcal of available energy.

= 10/100 × 10

Tertiary consumer = 1 kcal of energy.

15 points !!! will mark brainiest if you get correct !!!
determine wether each sequence is arithmetic or geometric. find the next three terms.

(question) 14, 19,24, 29, . . .
A: geometric, 34, 39, 44
B: arithmetic, 32, 36, 41
C: arithmetic, 34, 39, 44
D: the sequence is neither geometric nor arithmetic.

(question) -4, 8, -16, 32, . . .
A: arithmetic, 64, 128, 256
B: geometric, -64, 128, -256
C: geometric, -48, 64, -80
D: the sequence is neither geometric nor arithmetic.

(question) 81, 27, 9, 3, . . .
A: arithmetic, 0, -3, -6
B: geometric, 0, -3, -6
C: geometric, 1, 1/3, 1/9
D: the sequence is neither geometric nor arithmetic.

Answers

Step-by-step explanation:

1. C:arithmetic, 34, 39, 44

2. B: geometric, -64, 128, -256

3. C: geometric, 1, 1/3, 1/9

consider this equation tan(theta)=-5/3

if theta is an angle in quadrant II what is the value of sin(theta)

Answers

Answer:

B     5√34 / 34

Step-by-step explanation:

tan ∅ = opp/adj

In quad II

tan ∅ = 5 / (-3)

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

hyp^2 = 5^2 + (-3)^2

hyp^2 =25 + 9 = 34

hyp = √34

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

sin ∅ = opp/hyp

sin ∅ = 5/√34

Rationalizing

sin  ∅ = 5√34 / 34

Consider this equation [tex]tan(\theta)=-5/3[/tex]. if theta is an angle in quadrant II the of  [tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex].

What are the trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

Consider this equation

[tex]tan(\theta)=-5/3[/tex]

B     5√34 / 34

if theta is an angle in quadrant II what is the of sin(theta)

[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

In quadrant II

tan ∅ = 5 / (-3)

[tex]hyp^2 = 5^2 + (-3)^2\\hyp^2 =25 + 9 = 34\\hyp = \sqrt{34}[/tex]

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]sin \theta = \dfrac{5}{\sqrt{34} }[/tex]

Rationalizing

[tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex]

Learn more about trigonometric ratios here:

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What is the answer to this question? I can't wrap my head around it because I am a 6th grader but my math teacher is making me do 8th-grade stuff to prepare me for algebra I.

Answers

It’s a function if it passes the vertical line test or pencil test. Using a pencil and following the function if it touches the pencil in more then one spot it is not a function.
1. Function
2. Function but can be placed in not enough information
3. Not a function
4. Function
5. Function
6. Not a function

The theoretical probability of landing on tails is 1/2. What is the EXPERIMENTAL probability of 'tails' shown below? ***write your answer as a FRACTION with a "/"* Flip 1 2 3 4 5 Result H T T H H Flip 6 7 8 9 10 Result H H T H T Flip 11 12 13 14 15 Result I T T T H Flip 16 17 17 18 19 19 20 Result T H H T H​

Answers

Answer:

The experimental probability of flipping tails is 40%. Mentor: The experimental probabilities were 40% tails and 60% heads. This does not precisely match with the theoretical probability of 50% tails and 50% heads.

Step-by-step explanation:

There are 45 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 4/5 of the remaining students gave their speeches. How many students still haven't given their speeches

Answers

3 students because 2/3 of 45 is 30 then 4/5 of 15 is 12 so 3 students still haven’t gone
45 x 2/3 = 30
45-30 = 15

15 x 4/5 = 12
15-12= 3

3 have not yet given their speeches.


Help with this problem pls

Answers

Answer:

580.26 beats per min

Step-by-step explanation:

15.2 yrs=126 beats per min

So, 1yr=126/15.2 beats per min

70 yrs=(126/15.2)x70

=580.26 beats per min

write an equation
(-2,4) and (-1,8)

Answers

Answer:

2(-2,4) + 2(-1,8)=-8.4

Step-by-step explanation:

2x-2

2x4

2x-1

2x8

-8.4

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