Write the equation of the function g(x) if g(x) = f(x - 3) +1 and f(x) = x3 + 1.

Answers

Answer 1

Answer:

Solution,

f(x) = [tex]x^{3}[/tex] + 1

Put x = x - 3,

f(x - 3) =  [tex](x-3)^{3}[/tex] + 1

Now,

g(x) = f(x - 3) + 1

or, g(x) =[ [tex](x-3)^{3}[/tex] +1 ] + 1

or, g(x) = [tex]x^{3} -9x^{2} + 27x - 1 + 1+1[/tex]

or, g(x) = [tex]x^{3} - 9x^{2} +27x + 1[/tex]


Related Questions

What's the best app for graphing answers like domain y intercept all those things

Answers

Answer: it’s not an app but desmos graphing calculator works for me

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 19.2 miles to km.

Answers

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

how many times can 200 go into 487

Answers

2.435 times or if it’s to the nearest whole number then it can go into it twice. 200+200= 400. It can’t go in 3 times because that would be 600.

Hw help please ASAP
+10PTS

Answers

Answer:

[tex]y = \frac{1}{2} x + 3[/tex]

Step-by-step explanation:

Remember that:

[tex]Slope \: = \frac{rise}{run} [/tex]

Answer:

½x+3

Step-by-step explanation:

slope = rise/run plus y-intercept

Fiona, Peter and Angad share some sweets in the ratio 5:1:2. Fiona gets 33 more sweets than Angad. How many sweets are there altogether?

Answers

33/3=11
1 portion=11
5x11=55
11x1=11
2x11=22
55+11+22=88
ANSWER: 88 sweets in total

For every 5 sweets Fiona has, Peter has 1 sweet and Angad has 2 sweets.

If Fiona has 33 more, that means each of the 8 portions contains 11 sweets.

5-2 = 3
33/3 = 11

Fiona has 55 sweets.
Peter has 11 sweets.
Fiona has 22 sweets.

5x11 = 55
1x11 = 11
2x11 = 22

55+11+22 = 88 sweets in total

What is this slope of the liner function represented in the table -7 -1/7 1/7 7

Answers

Hmm. I’m not sure. Do you know how to do it? Try it first

Answer:

The answer is C and that idiot before me wasted a plot

Step-by-step explanation:

Help me with this!

Select all the relations that represent a function.
(1, 3), (2, 5), (2, 7) (4, 9)
(1, 3), (2, 5), (3, 7) (4, 9)
(1, 3), (1, 5), (1, 7) (4, 9)
(1, 3), (2, 3), (3, 3) (4, 3)
(1, 2), (2, 5), (2, 1) (4, 5)

Answers

Answer:
Relation #2 and #4

8) If a cube is cut by a plane to form a cross section, under what circumstance can the cross section
be a non-rectangular parallelogram?

Answers

This question has this set of answer choices:

a) when the plane cuts three faces of the cube, separating one corner from the others

b) when the plane passes through a pair of vertices that do not share a common face

c) when the plane is perpendicular to the base and intersects two adjacent vertical faces

d) when the plane makes an acute angle to the base and intersects three vertical faces

e) not enough information to answer the question

The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others

You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.

A triangle has one angle that measures 42°. Which of the following could be the measures of the other two angles?(1 point) 54° and 84° 42° and 42° 90° and 58° 102° and 216°

Answers

Answer:

54° and 84°

Step-by-step explanation:

i just took test

Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?

Answers

Answer:

20% of 45= 9 so you would subtract 9 from 45 getting you 39

Step-by-step explanation:

45-9=39 he would have to pay $39

Please help me!!!!!!!!!!!

Answers

Answer:

0.05

Step-by-step explanation:

Let blank be 'x'

1.456=1+0.4+x+0.006

1.456=1.406+x

x=0.05

7. Which value of x makes the ratios equal?
x/12 =3/9

Answers

Answer:

x=4

Step-by-step explanation:

x/12 = 3/9x/12=1/3x=4cross multiplyy

Try it out! What is the slope of the line that goes through the points (6,9) and (7.1)?​

Answers

Answer:

-8

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

1-9/7-6

-8/1

-8

Best of Luck!

Answer: The slope is equal to -8

Step-by-step explanation:

Since we know all of the points we can put it into the equation y2-y1 divided by x2-x1

So we input the numbers into the equation

1-9= -8

7-6= 1

-8/1 comes out to  -8

                                                                                                         

(9 x + 5) - (4 x + 3)

Answers

Answer:

this would 5 x + 2

Step-by-step explanation:

Answer: (4x2 + 4x - 5) • (x - 1)

Step-by-step explanation: The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  5.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,5

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  4x3-9x+5

can be divided with  x-1

2.2    Polynomial Long Division

Dividing :  4x3-9x+5

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     4x3      -  9x  +  5

- divisor  * 4x2     4x3  -  4x2        

remainder         4x2  -  9x  +  5

- divisor  * 4x1         4x2  -  4x    

remainder          -  5x  +  5

- divisor  * -5x0          -  5x  +  5

remainder                0

Quotient :  4x2+4x-5  Remainder:  0

2.3     Factoring  4x2+4x-5

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   4 • -5 = -20

Step-2 : Find two factors of  -20  whose sum equals the coefficient of the middle term, which is   4 .

     -20    +    1    =    -19

     -10    +    2    =    -8

     -5    +    4    =    -1

     -4    +    5    =    1

     -2    +    10    =    8

     -1    +    20    =    19

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

So if I have 3000 student and 1234 leave how many should I have left

Answers

You would have 1766 Students because 3000-1234 is equal to that number

Write a guess my number clue that is satisfied by an infinite number of solutions

Answers

Answer:

1 ?????????.........

The length of a football playing field is 100 yards between the opposing goal lines. What is the length of the football field in feet? Use the conversion equivalency of 3 feet = 1 yard.
a.
33.3 feet
b.
300 feet
c.
200 feet
d.
600 feet

Answers

Answer:

33.3

Step-by-step explanation:

100 divided by 3

Need help I’m not sure what it is.. it’s 8th grade math

Answers

Answer:

c is the answer to this

Step-by-step explanation:

Which number has a 3 with a value that is 100 times greater than the value of 3 in 20.342 ?

1. 423.06
2. 307.18
3. 36.25
4. 108.173

Answers

Answer:

The second one

Step-by-step explanation:

Because 3 times 100 is equal to 300 and this is the answer choice either the number of the value with 300

A square has a perimeter of 4m^2. What is the length of each side?

Answers

Answer:

perimeter of a square = 4 * side

4 m^2 = 4 * side

side = 4/4

side = 1m

Evaluate the function E(z)=(z+1)^2 for the following values of z.

a. E(a)

b. E(a + h), h not equal to 0

Use a & b to evaluate the following, for h not equal to 0
c. E(a + h) - E(a) / h =

Answers

Answer:

a. E(a) = (a+1)²

b. E(a + h) = (a+h+1)²

c. E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h

Step-by-step explanation:

E(z)=(z+1)²

E(a) = (a+1)²

E(a + h) = (a+h+1)²

E(a + h) - E(a) / h = (a+h+1)²- (a+1)²/h

Help me please thanks

Answers

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST

Answers

Answer: 1/36

Step-by-step explanation: 18 x 18 = 324

3 x 3 = 9

9/324 = 3/108 = 1/36

Answer:

1/36! good luck! :D

Step-by-step explanation:

Three times a number is 4 than twice the number

Answers

the answer is four i believe
3x = 4x2 is the answer

Which is equivalent to 8(3x + 2y) by the distributive property
A) 8x + 2y
B) 8x+8y
C) 24x+8y
D) 24x + 16y

Answers

The answer is D 24x + 16y

can someone say something nice about my art?
I'll give brainlyest and all ​

Answers

Answer:dang I could never draw that only stick figure, that looks like the person who drew the Mona Lisa

Step-by-step explanation:

Answer:

I mean honestly, whoever says something mean about your art is just jealous because your art is absolutely amazing!!!

Step-by-step explanation:

I hope you have a good day!

Keep up the good work!

Find the height of an equilateral triangle with side length 8.

Answers

Answer:

U need to just do

[tex] \sqrt{3 \div 4} a {}^{2} [/tex]

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The segment from a vertex to the side opposite is a perpendicular bisector.

The equilateral Δ is divided into 2 right triangles with legs 8 and 4

let height be h, then using Pythagoras' identity

h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )

h = [tex]\sqrt{80}[/tex] = 4[tex]\sqrt{5}[/tex] ← exact value

86
Work out the size of angle x.
47°

Answers

Answer:

133 degrees

Step-by-step explanation:

The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.

So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees

180 - 47 = 133 degrees

Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.

And corresponding anglea are the same.

Thereforw, x = 133 degrees

hope this helps :)

SOMEONE PLEASE HELP!!! THIS IS MY LAST QUESTION!!!

Answers

Answer:

The answer to the question provided is 30.

Step-by-step explanation:

[tex] \frac{18}{27} = \frac{20}{x} \\ \\ \frac{540}{18} = \frac{18x}{18} \\ \\30 = x[/tex]

Happy to help!

Answer:  x = 30

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

Explanation:

Due to the parallel lines, we have two similar triangles. So the sides are proportional.

18/27 = 20/x

2/3 = 20/x

2x = 3*20

2x = 60 .... cross multiply

x = 60/2

x = 30

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

Another way you can approach it is to say

18/(18+27) = 20/(20+x)

18/45 = 20/(20+x)

2/5 = 20/(20+x)

2(20+x) = 5*20

40+2x = 100

2x = 100-40

2x = 60

x = 60/2

x = 30

A line passes through the point (0,2) and has a slope of -1/4. What is the equation of the line

Answers

Answer:

Step-by-step explanation:

use point-slope formula [y-y1 = m(x-x1) ] with the given info

P=(x1,y1) = (0,2)  and slope m = -1/4

y-2=-1/4(x-0)

y-2= -1/4x

now try to move things till you get the slope-intercept form [y=mx+b]

y= -1/4x+2

good all done :)

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