inverse of g(x)=2x^3+3

Answers

Answer 1
f-1(x) = (x - 3) / 2

Related Questions

Write an equation in terms of x that represents the given statement. Solve the problem.

Negative three times the difference of 5 and a number is -48. Find the number.



(Step-step pls)

Answers

ANSWER: -3 (x-5) = -48 ~ x=21
Hey so basically the term “-3 times” means your going to multiply the quantity (what’s in parentheses) by the -3. “the difference “ means your using subtraction. “and a number” means you’ll have a variable. Next you just solve the problem! Nope this helps!

5th grade math question:
Marissa averages 6.053 points per game. What are some different ways you could decompose this decimal number?

Answers

Six and fifty-three thousandths

I'm sure


Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation
relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?
Oy=4+x

Answers

The equation that relates the total amount of gasoline in the tank is;

y = x + 4.

What is defined as the linear equation?A linear equation is just an algebraic equation with only a constant and the first-order (linear) term of the form y=mx+b, for which m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of 2 factors," in which y and x are the variables.Although they can, it is often easier and faster to use a computational method to arrive at a numerical answer. The actual power of equations is they offer a very unique way to describe many different functions in the world.

For the given question;

The amount of gasoline already present in tank is 4 gallons.

The number of gallons filled above the the previous gasoline is x.

Thus, now the total gasoline present in this tank is x + 4.

If y shows the total gasoline in tank;

Then,

y = x + 4.

Therefore, the total amount of gasoline present in tank is given by equation is; y = x + 4.

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( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2

Answers

Answer:

2

Step-by-step explanation:

( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2

= ( 10 - 9 ) + 2 ⋅ 1/2

= 1 + 2 ⋅ 1/2

= 1 + 1

= 2

What does this statement print?
System.out. printIn("bc" + 2 + 3)

Answers

The print statement System.out. printIn("bc" + 2 + 3) would print "bc23"

How to determine the output of the print statement?

The statement is given as

System.out. printIn("bc" + 2 + 3)

The above statement is a Java print statement

The expressions in the print bracket would be treated as strings.

This is so because of the first statement "bc"

So, the statements would be concatenated

Hence, the print statement System.out. printIn("bc" + 2 + 3) would print "bc23"

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A retired woman has $30,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.

If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?

Answers

On the basis that the woman invests in the 15% bond, she be  will able to invest $18,750 in the CD

What is the total expected interest from both investments?

The investment is based  on the fact the investor is able to make $3,000 in  interest from the bond and CD investments

total expected interest=$3,000

interest on bond investment=15%*x=0.15x

amount invested in CD=30000-x

interest on CD=(30000-x)*7%

interest on CD=2100-0.07x

total interest=0.15x+2100-0.07x

total interest=3000

3000=0.15x+2100-0.07x

3000=0.08x+2100

3000-2100=0.08x

900=0.08x

x=900/0.08

x=amount invested in the bond=$11,250

amount invested in CD=$30,000-$11,250

amount invested in CD=$18,750

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Three-sevenths of the T-shirts in a T-shirt shop are blue. Seven-eighths of those T-shirts are on sale. One-third of the blue
T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are
size medium? Explain.
The fraction of T-shirts that are blue, medium, and on sale is

Answers

Out of all the T-shirts in shop, the fraction of T-shirts that are blue, medium, and on sale is x/8.

Let us assume the total number of shirts be x. So, the number of blue shirts in the shop are 3x/7.

Number of blue shirts on sale = 3x/7 × 7/8

Cancelling 7 common in numerator and denominator and performing multiplication

Number of blue shirts on sale = 3x/8

Number of blue shirts on sale medium in size = 3x/8 × 1/3

Cancelling 3 common in numerator and denominator and performing multiplication

Number of blue shirts on sale medium in size = x/8

Hence, the required fraction of T-shirts are x/8.

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what are 3 budget planning tips

Answers

The three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.

What is a budget ?

A budget is an estimation of revenue and expenses over a specified future period of time.

We know that budgets can be created for an individual, a team of individuals, a business, a government, or pretty much anything else that generates and spends money.

The 3 budget planning tips can be as follows.

1.

First tip is to be aware of your net income. Finding out how much money you have coming in is the first step in making a budget. Setting up a budget is a crucial part of managing your finances and spending patterns. So , you must figure out how much money you are spending in order to develop a budget.

2.

Second tips can be to list your monthly expenses. The monthly expenses can be many such as rent payments , loan payments , insurances and utilities.

3.

Making adjustments is a third planning suggestion. You just compare your monthly expenses and net income. You'll need to alter your spending if you find that your expenses exceeds your income.

Therefore , the three budget planning tips can be , to be aware of your net income , listing your monthly expenses and making adjustments.

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Find the distance between the two points in simplest radical form.
(8, -4) and (3, 8)

Answers

Answer:

13

Step-by-step explanation:

[tex] \sqrt{ {(8 - 3)}^{2} + {( - 4 - 8)}^{2} } [/tex]

[tex] \sqrt{ {5}^{2} + {( - 12)}^{2} } [/tex]

[tex] \sqrt{25 + 144} = \sqrt{169} = 13[/tex]

solve x- 9y =20 for y

Answers

This what I got for this problem

Hello Can Someone Please Answer These Math Questions for Me

Answers

The answers are:
1. 4/25
2. 1
3. 625

1549-1637 not the time period ;-;

Answers

Answer: -88

Step-by-step explanation:

See if that's correct :)

CUTICLE
How many boys are there in an introductory geology course if 392 students are enrolled and there are five boys to every three girls?
Answer
How to enter your answer (opens in new window)

Answers

The number of girls is 147 and the number of boys is 245 in the introductory geology course

Students enrolled in the introductory geology course = 392 students

The ratio of boys to girls in the course = 5:3

Let the number of girls in the course be x, then the number of boys will be 392-x

Formulating the equation we get:

Number of boys/Number of girls = Ratio of boys/Ratio of girls

= 392-x/x = 5/3

= (392-x)*3 = 5x

= 1176-3x = 5x

=1176 = 8x

x = 147

Hence, the number of girls is 147 and the number of boys is 245

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What the distance between a negative number and a positive number 12 1/2

Answers

The distance between the negative number and the positive number is 25

How to determine what the distance between a negative number and a positive number?

The number is given as

12 1/2

When represented as a negative number and a positive number, we have the following representations

12 1/2 and -12 1/2

The distance between the negative number and the positive number is

Distance = |Positive - Negative|

So, we have

Distance = |12 1/2 - -12 1/2|

Evaluate the difference

So, we have

Distance = |25|

Remove the absolute bracket

So, we have

Distance = 25

Hence, the distance between the negative number and the positive number is 25

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Simplify this equation

Answers

Answer:

23

Step-by-step explanation:

9 + 2(4 + 3)

9 + ((2 * 4) + (2 * 3))

9 + (8 + 6)

9 + 14

23

Step-by-step explanation:    

Calculate within parentheses (4+3) : 7

[tex]=9+2\cdot \:7[/tex]

Multiply and divide (left to right) 2 . 7 : 14

[tex]=9+14[/tex]

Add and subtract (left to right) 9 + 14: 23

ANSWER: [tex]=23[/tex]

Explanation in words (Short Form)

-  The first step is to calculate within parentheses and the answer will result as 23

- The second step is to add and subtract so 9+14 = 23.

- The third step is to find the answer which is 23

Answer:  

23

Hope this helps.

Question 5:
Write each of the following numbers correct to 3 significant figures.
a) 37412
b) 84563
c) 261.42
d) 0.3684
e) 0.002615
f) 0.0025713

Answers

Following are the numbers correct to 3 significant figures

Answers to the following questions:

(1) Round to the needed significant figure: 37400;

(2) Round to the required significant figure: 84600;

(3) Round to the required significant figure: 261;

(4) Round to the needed significant figure: 0.00262

(5) Round to the required significant figure: 0.368

(6), round to the needed significant figure: 0.00257

What is meant by correct to significant figures?

The most significant number in the number is rounded up. Check the first non-zero digit if you want to round to one significant figure while doing so. If rounding to two significant numbers, have a look at the digit that comes after the first non-zero digit.

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if x = 3, y = -6 and x -9, evaluate x2 -y3

Answers

Answer:

225

Step-by-step explanation:

x² -y³

Evaluate for x=3,y=−6

3²−(−6)³

3²−(−6)³

=225

8) The sum of four times a number, -1, six times a number, and 3

Answers

The expression for the statement is 4y - 1 = 3y + 4 and the number is 4.

The outcome of adding two or more numbers or phrases is known as the sum in mathematics. The sum is a method of bringing things together as a result.

Let's assume the number to be y.

Then,

4 times the number = 4y

6 times the number = 6y

Now, the sum of four times a number and -1 is equal to 6 times a number and 3.

4 × ( the number) + (-1) = 3 × ( the number) + 3

4 × (y) + (-1) = 3 × (y) + 3

4y - 1 = 3y + 3

Now, add 1 on each side:

4y - 1 + 1 = 3y + 3 + 1

4y = 3y + 4

Subtracting by 3y from each side:

4y - 3y = 3y + 4 - 3y

y = 4

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Can someone help with this question?✨

Answers

The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Let's consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph as (4, 4290) and (8, 3850)

Now we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)          

Substitution;      

m = (3850 - 4290)/(8 - 4)          

Solve the subtraction in the parenthesis;

m = -440/4                              

m = -110                                  

Then we have the slope of the line, we can use the point-slope formula to find the equation for the line.

y - y1 = m(x - x1)                                    

Substitution;

y - 4290 = -110(x - 4)                            

y - 4290 = -110x + 440                            

y - 4290 + 4290 = -110x + 440 + 4290      

y = -110x + 4730                                    

Since the formula that is being sought is supposed to be in terms of P and t, we will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we have to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970

Hence, The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.

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Which of the following best describes a best efforts underwriting commitment? Review Later The underwriter agrees to buy the entire issue and assume full financial responsibility for any unsold shares. If the entire issue cannot be sold at the offering price, the deal is called off and the issuing company receives nothing. Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility. Underwriter is only responsible for half (50%) of the issue.

Answers

The best description of a best efforts underwriting commitment is Underwriter commits to selling as much of the issue as possible at the agreed-on offering price but can return any unsold shares to the issuer without financial responsibility.

What is a best efforts underwriting commitment?

In a best efforts underwriting commitment, the Underwriter will make a commitment by which they promise to sell as much as they can of a company's stock at a price that is best.

This price would have been agreed between the underwriter and the company.

However, if the stock issue is not sold entirely and there are unsold shares, then these unsold shares are returned to the issuer with no financial responsibility for the underwriter.

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In the following statement, express the first number as a percentage of the second number.
The full-time year-round median salary for U.S. men in 2010 was $42,200, and the full-time year-round salary for U.S.
women in 2010 was $35,700.

Answers

Step-by-step explanation:

the first number as percentage of the second number.

that means the second number is 100%

100% = 35,700

1% = 100%/100 = 35,700/100 = 357

how many % are 42,200 ?

we find out by checking how often 1% fits in :

42,200/357 = 118.2072829...%

$42,200 is 118.2072829...% of $35,700

Would really appreciate help on this statistics problem, 20 points :)

Answers

Answer:

Step-by-step explanation:jed

a family paid 23,800 as a down payment for their home this is 14 percent of the cost of their home what is the total cost of their home ?

Answers

The total cost of the home is 1,70,000 .

given,

down payment of home=23800

14 percent of the cost of their home

Then from here the rule says that ,

=100 x 23800/14

=1,70,000

therefore, we get a result of the total cost of the home that is ,

1,70,000.

The term percentile and the related term percentile rank are often used in the reporting of scores from norm-referenced tests. For example, if a score is at the 86th percentile, where 86 is the percentile rank, it is equal to the value below which 86% of the observations may be found. In contrast, if it is in the 86th percentile, the score is at or below the value of which 86% of the observations may be found. Every score is in the 100th percentile.

The 25th percentile is also known as the first quartile (Q1), the 50th percentile as the median or second quartile (Q2), and the 75th percentile as the third quartile (Q3). In general, percentiles and quartiles are specific types of quantiles.

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What is 7/28 simplified

Answers

Answer:

[tex]\frac14[/tex]

Step-by-step explanation:

Both the numerator and the denominator have the common factor of 7, therefore, we can divide them both by 7 to further simplify the fraction.

[tex]\frac7{28} \to \frac{\frac77}{\frac{28}7} \to \frac14[/tex]

7/28 = 1/4
as both of them divide by 7

WRITING DECIMALS AS FRACTION S​

Answers

Answer: first one

Step-by-step explanation:

Find the slope and the y-intercept of the line. −5x-4y=−20 Write your answers in simplest form.

Answers

Answer:

y = [tex]\frac{-5}{4}[/tex] x +5

Step-by-step explanation:

-5x - 4y = -20  Add 5x to both sides of the equation

-4y = 5x -20  Divide both sides by -4

y = [tex]\frac{-5}{4}[/tex] x - [tex]\frac{20}{-4}[/tex]

y = [tex]\frac{-5}{4}[/tex] x - -5

y = [tex]\frac{-5}{4}[/tex] x + 5

Carissa has $250 in her checking account and it’s saving $15 each week. Brooke has $750 in her checking account and it’s spending $10 each week. How many weeks will it take for Carissa and Brooke to have to the same amount of money in their accounts?

Answers

Answer:

you just gotta add up what carissahas and subtract what Brooke has and you'll have the answer

Step-by-step explanation:

x = number of weeks

so, we need to see, what is the number of weeks it takes for both to have the same balance.

it takes both the same amount of weeks, of course.

so,

250 + 15x = 750 + 10x

15x = 500 + 10x

5x = 500

x = 100

it takes them 100 weeks to have the same amount of money in their accounts.

A quadrilateral has sides of length x cm, x + 3cm, x - 4cm and 2xcm. What is the perimeter of
the quadrilateral in terms of x?

Answers

Answer:

Step-by-step explanation:

perimeter is the sun of all sides, so, (x)+(x+3)+(x-4)+(2x)

                                                            = x+x+3+x-4+2x

                                                            = 5x-1 is the answer

                                                           

Factor by completing the square: x^4-x^2+16

Answers

It should be noted that the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).

How to illustrate the information?

It should be noted that the expression given is illustrated as:

x⁴ - x² - 16

= x² - 16

= x² - 4²

= (x + 4)(x - 4)

Therefore, the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).

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A spinner is spun 400 times.
The probabilities it lands on each colour are shown below.
The probability it lands on red is the same as the probability it lands on yellow.

Colour Red Green Brown Yellow
Probability 0.14 0.4
How many times would you expect it to land on each colour?

Answers

The likelihood that it will land on red is the same as the likelihood that probability it will land on yellow. In this case, 52.

What exactly is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 generally denoting impossibility and 1 roughly denoting certainty.

based on the available facts;

Given, color likelihood Green Brown Yellow Red

P(R) + P(a) + P(B) + P(Y) = 1

2P(CR) + 0-74=1

P(R) 0.26/2

= 0.13 P(Y)

As it is span 400 times -

No. of times green= 0.2 off 400

                              =1/5 *(400)

                              =80

No. of times Brown= 0.54*100

                                =216

No. of times Red= 0.13× 400

                            = 52= No. of times yellow

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