The graph of f(x) = x3 is given. Which equation will translate the graph 1 unit up?

A)
g(x) = x3 - 1


B)
g(x) = x3 + 1


C)
g(x) = -x3 + 1


D)
g(x) = (x - 1)3

Answers

Answer 1

Answer:

B:  g(x) = x^3 + 1

Step-by-step explanation:

Please  use " ^ " to denote exponentiation:  f(x) = x^3.

This graph starts (increasing) in Quadrant III and grows without bound in Quadrant IV.  It passes thru the origin (0, 0).

If we want to translate the graph 1 unit up, then the function f(x) becomes

g(x) = f(x) + 1, or x^3 + 1.

Answer 2

Answer:B:  g(x) = x^3 + 1

Step-by-step explanation:


Related Questions

Write a story problem where the answer is 7?

Answers

Answer: I have 4 cookies, I but 3 more cookies, how many cookies do I have now? I have 7 cookies

Step-by-step explanation:

A story problem where the answer is 7 is given above.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have number 7.

The question problem is as follows -

There are 77 chocolates and 11 childrens. How many chocolates should be given to each child such that each one gets equal number of chocolates.

Solution -

Assume each child gets [x] chocolates. Then -

11x = 77

x = 7

Therefore, a story problem where the answer is 7 is given above.

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The solution to 2 × 27 will be what kind of number?        A. Odd  B. Perfect square  C. Even  D. Prime

Answers

Answer:

C. Even

Step-by-step explanation:

Any multiple of 2 is an even number.

27 is 3³, so the result cannot be a perfect square.

The product of two numbers, neither of which is 1, cannot be prime.

the answer would be C. An even number

look at the picture and plzzz help

Answers

Answer:

option B

option D

Step-by-step explanation:

1)

First we will remove radical sign as[tex]\sqrt[n]{x}=x^{\frac{1}{n} }[/tex] and then multiply the powers.

[tex]\sqrt[3]{4^{5}}=(4^{5})^{\frac{1}{3}}=4^{\frac{5}{3} }[/tex]

2)

The "power rule" tells us that to raise a power to a power, just multiply the exponents.

([tex]4^{15}[/tex])[tex]^{\frac{1}{3}}=4^{15.\frac{1}{3}}=4^{5}[/tex]

Can somebody please help me with his pleaseee ASAP!!

Answers

Answer:

Step-by-step explanation:

1.

x= 18 y= 3

2.

x= -5 y=1

what is the remainder when 9,857 is divided by 82? A) 16 B) 17 C) 19 D) 21

Answers

Answer:

B) 17

Step-by-step explanation:

9857/82=120.....

120*82=8940

9857-9840=17

ANSWER

B) 17

EXPLANATION

We want to find the remainder when, 9857 is divided by 82.

We carry out the long division as shown in the attachment.

We can see that

[tex]9857 = 82 \times 120+ 17[/tex]

Hence the remainder is 17.

The correct answer is B.

which object has no line segments?

A. Rectangle
B. Hexagon
C. Circle
D. Pentagon

Answers

Answer:

C. Circle

Step-by-step explanation:

A, B, and D are all composed of straight line segments.  However a circle is one continuous, rounded line (not a segment).

A circle is an object that has no line segments.

Why circle has no line segment?A circle doesn't have line segments because it is a curve that is not made up of straight lines.A circle doesn't have a line segment because a line segment is defined as a portion of a straight line of infinite thickness between two points whereas a circle is not having a single straight line.A circle is curved it cannot be formed from a line segment and thus does not fit the conditions needed to be a polygon.The only line segment that a circle has is inside it i.e., the diameter is the one and only line segment inside the shape.

Hence, a circle is an object that has no line segment.

Therefore, Option C is the correct answer.

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what is the equation of the line that passes through (-3,-1) and has a slope of 3/5 ​

Answers

Answer:

y+1 = 3/5(x+3)  (point slope form)

y = 3/5x +4/5 slope intercept form

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope form of the equation

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y--1 = 3/5(x--3)

y+1 = 3/5(x+3)  (point slope form)

We can distribute

y+1 = 3/5x +9/5

Subtract 1 from each side

y+1-1 = 3/5x +9/5 -1

y = 3/5x +9/5 -5/5

y = 3/5x +4/5 slope intercept form

Answer:

Equation:  y = 3/5 x + 4/5

Step-by-step explanation:

y = mx + b

so

b = y - mx

passes through (-3,-1) and has a slope of 3/5

So

b = -1 - (3/5) (-3)

b = -1 + 9/5

b = - 5/5 + 9/5

b = 4/5

So equation

y = 3/5 x + 4/5

Which of the following is a binomial?
A) 8x^5
B) 11x+18
C) 14x^2+5x+12
D) 4/x

Answers

If I am correct the best option would be answer B

Sides of three square rooms measure 13 feet each, and sides of two square rooms measure 15 feet each. Which expression shows the total area of these five rooms? A. (3 × 13^2) + (2 × 15^2) B. (2 × 13^3) + (2 × 15^2) C. (3 × 15^2) + (2 × 13^2) D. (3 × 13^2) × (2 × 15^2)

Answers

Answer:

The total area of the five rooms = 3 × 13² + 2 × 15² ⇒ answer A

Step-by-step explanation:

* lets revise the area of the square

- The area of any square is (the length of its side)²

- We have five room

- Three of them have side length 13 feet each

- Two of them have side length 15 feet each

* lets find the total area of the five room

- The area of the three rooms of side length 13 feet

∵ The length of the side of each square is 13 feet

∴ The area of each room of the three = 13²

∴ The total area of the three rooms = 3 × 13² feet² ⇒ (1)

- The area of the two rooms of side length 15 feet

∵ The length of the side of each square is 15 feet

∴ The area of each room of the two = 15²

∴ The total area of the three rooms = 2 × 15² feet² ⇒ (2)

- To find the area of the five rooms and (1) and (2)

∴ The total area of the five rooms = 3 × 13² + 2 × 15²

Answer:

A. [tex](3*13^2)+(2*15^2)[/tex]

Step-by-step explanation:

The area of a square can be calculated with this formula:

[tex]A=s^2[/tex]

Where "s" is the lenght of any side of the square.

You know that any side of three square rooms measure 13 feet each and any side of two square rooms measure 15 feet each.

Let be [tex]s_1[/tex] the lenght of any side that measures 13 feet and and [tex]s_2[/tex]  the lenght of any side that measures 15 feet.

Then, the total area will be:

[tex]A_{total}=3(s_1)^2+2(s_2)^2\\\\A_{total}=(3*13^2)+(2*15^2)[/tex]

Therefore, the expression that shows the total area of these five rooms is the expression shown in the option A.

Find the slope of this line

Answers

Answer:

5/4

Step-by-step explanation:

look to the right of the graph where the red dot is at then go over to the dot, then you count down until you get to the line.

We can use the points (2, 1) and (4, 6) to solve.

Formula: y2-y1/x2-x1

= 6-1/4-2

= 5/2

Best of Luck!

You are given odds of 7 to 8 in favor of winning a bet, what is the probability of winning the bet?

Answers

The probability of winning a bet with odds of 7 to 8 in favor is 7/15, or approximately 46.67%.

If you are given odds of 7 to 8 in favor of winning a bet, to find the probability of winning, you need to understand the relationship between odds and probability.

Odds of 7 to 8 means that for every 8 losses, there are 7 wins.

The total number of possibilities is 7 wins + 8 losses = 15 possible outcomes.

To convert odds to probability, you divide the number of ways to win by the total number of possible outcomes:

Probability of winning = 7 wins / 15 total outcomes = 7/15.

Therefore, the probability of winning the bet is 7/15, which can be approximated as 0.4667 or 46.67%.

Which net represent the solid?

Answers

Answer: Figure one

Step-by-step explanation: this is a very very easy question and i will explaing it for you :) So basically all your doing is folding a peice of paper. If you look closley at figure two you can see that if you fold that it wont even turn into a shape. And if you look at figure three it has uneven sides when a square has all even sides. So your only valid option would be figure one because that would fold in to a square

I hope i helped you figure this out A thanks and a brainlist would be greatly appreciated :)

What are the ratios for sin a and cos a?

Answers

the answer is the last one because sin =opposite/hypo.

while cosine= adjacent/hypo.

Check the picture below.

A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?

A) V = 2s^2
B) V = 2s^3
C) V = 2/3s^2
D) V = 2/9s^3
E) V = 1/3s^3


Random answers will be reported!

Answers

Answer:

The correct option is option D

Step-by-step explanation:

The volume of a pyramid is:

V=1/3(B)(H)

Where

B:Base = s^2

H:Height = 2/3s

Then:

V=1/3(B)(H) = 1/3(s^2)(2/3s) = 2/9s^3

The correct option is option D

Answer:

answer is V= 2/9 s3 is correct

Simplify the trigonometric expression. Is this the correct answer?

Answers

Answer:

[tex]\boxed{\tan \theta}[/tex]

Step-by-step explanation:

[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta}[/tex]

Use the trigonometric identity

[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]

Then,

[tex]\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta} = \dfrac{\tan \theta }{1} = \boxed{\tan \theta}[/tex]

The correct option is d. tan θ. The simplified expression is [tex]\(\tan\ \theta\)[/tex].

The expression you provided is:

[tex]\[ \frac{\tan\ \theta}{\sin^2 \theta + \cos^2 \theta} \][/tex]

We know that [tex]\(\sin^2 \theta + \cos^2 \theta = 1\)[/tex] due to the Pythagorean identity for sine and cosine.

So, the expression simplifies to:

[tex]\[ \frac{\tan\ \theta}{1} = \tan\ \theta \][/tex]

Therefore, the correct simplified expression is [tex]\(\tan\ \theta\)[/tex].

The complete question is:

Simplify the trigonometric expression.

[tex]\[ \frac{\tan\ \theta}{\sin^2 \theta + \cos^2 \theta} \][/tex]

Select the correct answer:

a. cos θ +sin θ

b. cot² θ

c. cot θ

d. tan θ

What is the greatest common factor of 15 and 5?​

Answers

Answer:

Step-by-step explanation:

5

(Answer:5)The greatest common factor of 15 and 5 is, 5

Which of these triangle pairs can be mapped to each other using a reflection and a translation?

Answers

Answer:

second option

Step-by-step explanation:

The triangle pairs that can be mapped to each other using a reflection and a translation are option (b).

The following statement will clarify how that triangle pair is mapped to each other using a reflection and a translation:A translation moves a shape left or right and/or up or down.The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have shifted in one or more directions. There is no change in the shape.In Geometry, a reflection is known as a flip.A reflection is a mirror image of any given shape.Reflection is flipping an object across a line without changing its size or shape whereas Translation is sliding a figure in any direction without changing its size, shape, or orienattion.To graph a translation, perform the same change for each point. We can identify a reflection by the changes in its coordinates.

Hence, the correct answer is option (b).

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what is the standard form of (1+2 square root of -3) / (1+ square root of -3)

Answers

Answer:

Step-by-step explanation:

[tex]\[\frac{1+2\sqrt{-3} }{1+\sqrt{-3} } =\frac{1+2\sqrt{-3} }{1+\sqrt{-3} } \times \frac{1-\sqrt{-3} }{1-\sqrt{-3} } =\frac{(1+2\sqrt{-3})(1-\sqrt{-3} ) }{1^{2}-(\sqrt{-3})^{2}   } =\frac{1+2\sqrt{-3}-\sqrt{-3}-2(\sqrt{-3}  )^{2}  }{4} =\frac{1+\sqrt{-3}+6 }{4} =\frac{7+\sqrt{-3} }{4} \][/tex]

Plz help me with this

Answers

Answer:

You don't even have to graph it.

A) X + Y -6 = 0

B) X - Y = 0

We add the equations and get:

2x -6 = 0

x = 3 and therefore, y = 3

The correct answer is the third answer (3, 3)

Step-by-step explanation:

Answer: (3, 3)

Step-by-step explanation:

Add the equations to eliminate y:

   x + y = 6

   x - y  = 0

 2x      =  6

÷2         ÷2

   x      = 3

Substitute x = 3 into either of the equations to solve for y:

x - y = 0

3 - y = 0

3      = y

Find the area of the figure.

A) 114 cm2
B) 350 cm2
C) 418 cm2
D) 447 cm2

Answers

Answer:

C.) 418 cm²

I hope this helped you : )

Step-by-step explanation:

First, you find the area of the square:

19 cm x 19 cm = 361 cm

Next, you find the area of the triangle:

(19 cm x 6 cm) ÷2 =57 cm

Last, you add the two:

361 cm + 57 cm = 418 cm²

Answer:

it is C i took a quiz on it

Step-by-step explanation:

A fish aquarium that needs water measures 5ft long by 3 feet wide by 2 feet tall. If Josh only has has 12ft of water, how much more water will be needs to fill the tank

Answers

Answer:

Step-by-step explanation:

18 ft

Answer: 18 ft (technically water isn't measured in feet but who cares :)

Step-by-step explanation: 5*3*2=x-12--------- 30=x+12-----x=18

Which expression is equivalent to (-18)-64n
A)-2(9-32n)
B)2(9-32n)
C)-2(9+32n)
D)2(9+32n)

Answers

Answer:

C)-2(9+32n)

Step-by-step explanation:

The given expresion is

[tex] - 18 - 64n[/tex]

We can rewrite this expression as:

[tex] - 2 \times 9 + - 2 \times 32n[/tex]

We factor -2 to obtain:

[tex] - 2(9 + 32n)[/tex]

Note that, we can use the distributive property to obtain:

[tex] - 2(9 + 32n) = - 18 - 64n[/tex]

Therefore the correct answer is C)-2(9+32n)

Final answer:

The expression equivalent to (-18)-64n is option A: -2(9-32n). This is because when you distribute the -2 across the terms in the parentheses, it gives you the original expression.

Explanation:

To find which expression is equivalent to (-18)-64n, we can factor out the greatest common factor (GCF) from each term. The GCF of -18 and -64n is -2. Thus, when we factor out -2, we are left with:

(-18)-64n = -2(9 + 32n).

But we have to pay attention to our signs; we should distribute -2 within the parentheses to check our result:

-2 × 9 = -18

-2 × 32n = -64n

Thus, option A -2(9-32n) is the correct equivalent expression, as the negative sign in front of the parentheses will switch the signs of the terms inside when distributed. Options B, C, and D either lack the necessary negative sign or have the incorrect sign for 32n.

A quadratic equation is shown below:

3x2 − 11x + 10= 0

Part A: Find the vertex. Show your work.

Part B: Solve for x using an appropriate method. Show the steps of your work.

Answers

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

[tex]3x^{2}-11x+10=0[/tex] has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

[tex]\frac{d}{dx}(3x^{2}-11x+10)=6x-11[/tex]

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

[tex]x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}[/tex]

What is the value of x? Round to the nearest tenth. Please Need Help Badly.

Answers

Answer:13.1

Step-by-step explanation:first note that 13.1 had two parts 13 and 1

13.1 has one digit in the fractional part thus 13.1 is already rounded as much as possible to the nearest tenth the answer is 13.1

Find the Sin A, Cos A, and Tan A. (Write your answer as simplified ratios.)

Answers

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex], thus

sinA = [tex]\frac{2\sqrt{19} }{20}[/tex] = [tex]\frac{\sqrt{19} }{10}[/tex]

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

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex], thus

cosA = [tex]\frac{18}{20}[/tex] = [tex]\frac{9}{10}[/tex]

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

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex], thus

tanA = [tex]\frac{2\sqrt{19} }{18}[/tex] = [tex]\frac{\sqrt{19} }{9}[/tex]

A regular octagon is inscribed in a circle with a radius of 5 feet. What is the area of the octagon

Answers

Answer:

70.58 ft²

Step-by-step explanation:

One pie-shaped sub-area of this octagon has two sides of length 5 ft and a central angle of 360°/8, or 45°.  We need to find the area of one such sub-area and then multiply the result by 8 to find the total area of the octagon.

Picture this pie-shape, this isosceles triangle with two sides of length 5 ft and central angle 45°.  Half of that angle is 22.5°.  Half of the base of this triangle is 5 sin 22.5°, or 1.91; the full base length is twice that, or 3.82.  the height of the triangle is 5 cos 22.5°, or 4.62.

The formula for the area of a triangle is

A = (1/2)(base)(height), which in this case is:

A = (1/2)(3.82 ft)(4.62 ft) = 8.82 ft²

and so the area of the whole octagon is 8(8.82 ft²), or 70.58 ft²

Answer:

D) 70.7

Step-by-step explanation:

I got it right

F(x) = x^2. What is g(x)?

Answers

Answer:

Option B.  g(x)=(1/4 x)^2

Step-by-step explanation:

Translate ∆ABC by moving it 5 units to the right and 2 units up.

Answers

Final answer:

To translate a triangle by moving it 5 units to the right and 2 units up, you add 5 to the x-coordinates and 2 to the y-coordinates of all its vertices.

Explanation:

To translate  riangle ABC by moving it 5 units to the right and 2 units up, you would perform the following steps:

Select  riangle ABC.Move each point of  riangle ABC 5 units to the right. This is done by adding 5 to the x-coordinate of each vertex of the triangle.Then, move each point of  riangle ABC 2 units up. This is done by adding 2 to the y-coordinate of each vertex of the triangle.The new position of  riangle ABC is the result of this translation.

This transformation doesn't change the shape or size of  riangle ABC; it merely repositions it on the coordinate plane.

Twelve glass beakers have a solution of hydrochloric acid of different quantities. The amount of solution, in milliliters, in each glass beaker is shown.

{15, 10, 16, 6, 20, 8, 22, 14, 9, 13, 27, 25}

What is the range in the quantity of hydrochloric acid?

Answers

Answer:

21

Step-by-step explanation:

the range is the highest minus the lowest

27-6=21

Answer:

21 milliliters

Step-by-step explanation:

We first need to arrange the quantities from the least to the largest.

i.e {6, 8, 9, 10, 13, 14, 15, 16, 20, 22, 25, 27}

Range of this set of data is = largest quantity - least quantity = 27 - 6 = 21 milliliters

pls help just one question

Answers

Answer:

A

Hope This Helps!  Have A Nice Day!!

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