If f(x-1)=x³+3x²-3x+7, find f(1)​

Answers

Answer 1

Answer: f(1)=21

Step-by-step explanation:

f(x-1)=x³+3x²-3x+7

f(x-1)=(x-1+1)³+3(x-1+1)²-3(x-1+1)+7

f(1)=(1+1)³+3(1+1)²-3(1+1)+7

f(1)=(2)³+3(2)²-3(2)+7

f(1)=8+3(4)-6+7

f(1)=8+12+1

f(1)=21


Related Questions

(7x10^9)(5.3x10^2). Write this in scientific Notation

Answers

The required answer would be 3.7×10¹⁰ which is written in the form of scientific notation.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that expression as:

⇒ (7×10⁹)(5.3×10²)

⇒ 7×5.3 ×10⁹×10²

We have to add exponents of tens and apply the multiplication operation between 7 and 5.3,

⇒ 37 ×10⁹⁺²

⇒ 3.7×10⁻¹ ×10¹¹

⇒ 3.7×10¹⁰

Hence, the required answer is 3.7×10¹⁰ which is expressed in scientific notation.

Learn more about the Scientific Notation here :

https://brainly.com/question/20533245

#SPJ1

Find the 8th term of the geometric sequence shown below. 6x,18x^4,54x^7
please help

Answers

The 8th term of the geometric sequence is 13122x^22

Explicit form of a geometric sequence

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

Learn more on geometric sequence here: https://brainly.com/question/24643676

#SPJ1

prove that if all of the 2n subsets of a set containing 2n 1 are equal, then all elements of set n are equal

Answers

when multiplicity is removed, you get 2^(2n+1)/2 members, which is 2^(2n).

Take the power set. It has 2^(2n+1) members.

Replace any member which has n+1 or more elements with its complements.

Now the power set has members, which have n or fewer elements, and each such member appears twice.

Therefore, when multiplicity is removed, you get 2^(2n+1)/2 members, which is 2^(2n).

For more information on sets click on the link below:

https://brainly.com/question/2166579

#SPJ4

In an AP the 9th Term is 2 times the 4th Term and the 12th Term is 78. What is the sum of the first twenty terms?

Answers

The sum of the first twenty terms of the given AP is 1380.

An arithmetic progression is given in this problem.Let the first term of the AP be "a".Let the common difference between the terms of the AP be "d".Let the term in the "n" position be denoted by t(n).t(n) = a + (n-1)*dIt is given that the 12th term is 78.t(12) = a + 11d78 = a + 11dThis is equation 1.It is given that the 9th term is twice the 4th term.t(9) = 2*t(4)a + 8d = 2(a + 3d)a + 8d = 2a + 6da = 2dThis is equation 2.Solving equations 1 and 2, we get the values of "a" and "d".The value of "a" is 12 and "d" is 6.The sum of the first "n" terms of an AP is given by the formula :S(n) = (n/2)[2a + (n-1)d]We need to find the sum of the first 20 terms.S(20) = (20/2)[2*12 + 19*6]S(20) = 10*(24 + 114)S(20) = 10*138S(20) = 1380

To learn more about common difference, visit :

https://brainly.com/question/11559160

#SPJ1

Of the numbers 0.4761, 0.04761, 0.4671, and 0.04671, which is the largest?

Answers

Answer:

0.4761

Step-by-step explanation:

It is in the 10ths place making it bigger than 0.04761 and 0.04671

Then in the hundreths place for 0.4761  7 is bigger than the 6 in in the hundreths place of 0.4671, so the answer is

0.4761

Rearrange the formula d=rt to solve for time.
im having a lil trouble with this one guys

Answers

Answer:

t = d/r

Step-by-step explanation:

d = rt

We are solving for t, so you need t alone on the left side.

Switch sides.

rt = d

t is being multiplied by r, so you need to divide the left side by r to get rid of r. You must do the same operation to both sides of an equation, so divide both sides of the equation by r.

rt/r = d/r

rt/r is simply t, so we get:

t = d/r

Find the sum of the following numbers:

-7, 14, 10, -21

Answers

Answer:

-4

Step-by-step explanation:

Let's solve this step by step:

-7 + 14 = 7
7 + 10 = 17

17 - 21 = -4

Your answer would be -4

-7 + 14 = 7 + 10 = 17 + -21 = -4

Which fractions have the same value as -1/4 please help

(different question and look at picture)

Answers

Answer:

-1/4 ,-(-1/-4) and 1/-4 are the answers please

Find the equation of the line which passes through (4,1) and is parallel to the line with equation 2y=x+1

Answers

Parallel to the line:

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

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

Hence Slope:

[tex]{\sf{\large{\frac{1}{2}}}}[/tex]

The slope of line of which equation we need is parallel to the line given. Therefore, it's slope also is (m):

[tex]{\sf{\large{\frac{1}{2}}}} [/tex]

Also, the line passes through the points (4, 1)

Therefore by the formula of

[tex]{\sf{(y - y1) = m(x - x1)}}[/tex]

we have:

[tex]{\sf{(y - 1) = \frac{1}{2} (x - 4) }}[/tex]

[tex]{\sf{2y - 2 = x - 4}}[/tex]

[tex]{\sf{x - 4 - 2y + 2 = 0}}[/tex]

[tex]{\sf{\red{\boxed{\sf{x - 2y - 2 = 0}}}}}[/tex]

Given: A is between B and C. if AB =x+2, BC=4x-7 , and AC =2x-1 , find x and AC

Answers

If A is between B and C, and AB=x+2, BC=4x-7 and AC=2x-1,  then the x=8 and AC=15 units.

Given,

That A is between B and C.

AB= x+2

BC= 4x-7

AC= 2x-1

Then,

BC = AB+AC

4x-7= x+2+2x-1

4x-7= 3x+1

4x-3x=1+7

x=8

Then the length of the line AC is

AC= 2x-1

AC= 2×8-1 =15 units

Hence, If A is between B and C, and AB=x+2, BC=4x-7 and AC=2x-1,  then the x= 8 and AC= 15 units

Learn more about length here

brainly.com/question/8552546

#SPJ1

This question is throwing me off track. Help?

Solve 1/3x + 6/5 = 3/5
The slashes means that it is a fraction btw! Thanks so much if you do help me :)

Answers

Answer:

x= -9/5

Step-by-step explanation:

I hope this helps!

I need help asap!! (Fractions)

Answers

Answer:3 5/7

Step-by-step explanation:

Answer:   A ----------------3 5/7

a rectangular parking lot has a length that is 420 yards greater than the width. the area of the parking lot is 13 square yards. find the length and the width.

Answers

The length and the widths are 420.031 yards and 0.031 yards if a rectangular parking lot has a length that is 420 yards greater than the width.

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L be the length and W be the width of the rectangle.

From the question:

L = 420 + W (based on the data given in the question)

LW  = 13

(420 + W)W = 13

W² + 420W - 13 = 0

After solving the above quadratic equation:

W = 0.031, W = -420.03 (width cannot be negative)

W = 0.031 yards (which is not practical but from a mathematical point of view it can be considered)

L = 420 + 0.031 = 420.031 yards

Thus, the length and the widths are 420.031 yards and 0.031 yards if a rectangular parking lot has a length that is 420 yards greater than the width.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ4

PLS HELPP IM LOST
1: Find the missing Statements #3, #7, and #8 in the Algebraic Proof below.


2: What are the missing statements for #4 and #6?

Answers

Answer:

#3: -2 = 2y - 8

#7: 3 = y

#8: y = 3

#4: Angle1 + Angle2 = Angle ABC

#6: Angle 1 and Angle 2 are supplementary

Step-by-step explanation:

6y - 2 = 8y - 8

 8 - 2 = 8y - 6y

     6/2 = 2y/2

       3 = y

       y = 3

     

#35 i
Find the measure of the exterior angle.
to
38°
The measure of the exterior angle is

Answers

Answer:

128°

Step-by-step explanation:

The three INTERIOR angles of the triangle are 90  38 and 52°  ( they sum to 180 °)    

   52 °  and 'x'  form a straight line = 180 °    so x = 128°

Answer:

128

Step-by-step explanation:

Add the two farthest angles, 90 and 38, so that's 128

brainliest pls

The function g(x)=x² + 3px + (14p - 3), where p is an integer, has two equal roots.
a Find the value of p.
b For this value of p, solve the equation x² + 3px + (14p - 3)

Answers

a, The value of p is 6 and 2/9

b. After solving the equation x is equal to 9

a. If the roots of a quadratic ax² + bx = c = 0, are equal then the discriminant is zero express as

b² - 4ac = 0

W have given the equation x² + 3px + (14p - 3) = 0

Here, a = 1

         b = 3p

         c = 14p - 3

So, substitute the value and we get

⇒ (3p)² - 4(14p -3) = 0

⇒ 9p² - 56p + 12 = 0

⇒ 9p² - 2p - 54p + 12

⇒ p(9p - 2) -6(9p - 2)

⇒ (9p - 2)(p - 6)

p = 6, p = 2/9

b. Lets substitute p = x in x² + 3px + (14p - 3)

⇒ x² + 3(6)x + (14(6) - 3)

⇒ x² + 18x + (84 - 3)

⇒ x² + 18x + 81

⇒ x² + 9x + 9x + 81

⇒ x(x + 9) +9(x + 9)

⇒ (x + 9)(x + 0)

x = 9

Learn more about discriminant

https://brainly.com/question/24730520

#SPJ9

Which weight represents the 65th percentile?

Answers

The 65-th percentile is  approximately 83.8 ounces.

A number at or below which a particular percentage falls in its frequency distribution, or a score below which a given percentage falls, is known as the k-th percentile in statistics. The 50th percentile, for instance, is the score at or below which 50% of the distribution's scores can be found.

The 50-th percentile is called the median.The 25th and 75th percentile is called the lower and upper percentile respectively.Mean of a data-set is the measure of central tendency which denotes the average of the data.The standard deviation denotes the fluctuations of the data from the central tendency.

The percentile can be calculated by using the formula

Percentile Value = μ + zσ  where

z is the z-score , μ is the mean and σ is the standard deviation.

Here the percentile that is to be calculated is 65.

So we take the value that is closest to 0.65 from the z-table.

We get the value of the data to be 0.39

Now putting the values in the equation we get:

Percentile Value = μ + zσ  

or, Percentile Value = 83 + (0.39 × 2)

or, Percentile Value = 83.78

or, Percentile Value ≈ 83.8

Hence the 65th percentile value of the function is given by 83.8  .

To learn more about percentile visit:

https://brainly.com/question/1594020

#SPJ9

The equation y = 2.50x determines the total cost, y, of buying x carnival tickets. Use the drop-down menu to complete the sentence.

According to the equation, 15 carnival tickets would cost.
.

Answers

The cost of 15 carnival tickets is 37.5 dollars.

How to use the equation to find the cost of 15 ticket ?

The equation y = 2.50x determines the total cost, y, of buying x carnival tickets.

where

x = number of carnival tickety = total cost

Therefore, according to the equation, the cost of 15 carnival ticket can be calculated as follows:

y = 2.50x

where

x = 15

Hence,

y = 2.50 × 15

y = 37.5 dollars

Therefore, the cost of 15 carnival tickets is 37.5 dollars.

learn more on equation here: https://brainly.com/question/15898972

#SPJ1

What is the domain and range for first graph

Answers

We need to know about domain and range of a graph to solve this problem. The domain is (-∞,5) and the range is (-∞,2).

The domain of a function is the input values that the function can take. The range is the set of values that can be the possible output of the function. The domain of a graph are the values that are on the x-axis and the range is on the y-axis. The arrow means that the graph goes on till infinity, a solid sphere means that the graph ends at that point and the ending point is included in the function, a hollow sphere means the graph ends at that point and the ending point is not included in the function. In the graph in the question, along x-axis the values on left goes on till negative infinity and on right the domain is open at 5. For range along y-axis, the range on the left side goes on till negative infinity and on the right it is open at 2.

Therefore we see that the domain of the graph is (-∞,5) and the range is (-∞,2).

Learn more about domain and range here:

https://brainly.com/question/26312803

#SPJ9

100 points, please help
In 8-11, write a justification for each conclusion.

Answers

Answer:

8. Supplementary means that two angles add up to 180 degrees (straight line). For the justification, I would simply write "def. of supplementary angles."

9. Equilateral means that all sides equal. For the justification, I would simply write "def. of equilateral triangle."

10. In a circle, all radiuses equal in length. TC and ZC are both radiuses. For the justification, I would simply write "def. of radius."

11. A midpoint divides a line segment in half. For the justification, I would simply write "def. of midpoint."

HELP 14 POINTS!!! QUESTION IN PICTURE!!

Answers

The value of x is 27

In this question, we have been given a line AB and a point O on the line AB.

From figure we can see that, there are linear angles ∠AOM, ∠MON, and ∠NOB

Also, ∠AOM = 36°,

∠MON = 90°, and

∠NOB = 2x

We need to find the value of x.

We know that the sum of linear angles is 180°

⇒ ∠AOM + ∠MON + ∠NOB = 180°

⇒ 36° + 90° + 2x = 180°

⇒ 126° + 2x = 180°

⇒ 2x = 180 - 126°

⇒ 2x = 54°

⇒ x = 27

Therefore, the value of x is 27

Learn more about the linear angles here:

https://brainly.com/question/13045673

#SPJ1

Fabio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points as Carlos. Fabio scored 313131 points in the game.
Write an equation to determine the number of points (c) Carlos scored in the last game.
Find the number of points Carlos scored in the last game.

Answers

Considering the definition of an equation and the way to solve it, the number of points Carlos scored in the last game is 19.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This case

Being:

"C" the number of points Carlos scored."F" the number of points Fabio scored.

and knowing that in the last game, Fabio had 7 points less than 2 times as many points as Carlos, the equation to determine the number of points Carlos scored in the last game is:

2C - 7= F

Fabio scored 31 points in the game. So you get:

2C - 7= 31

Solving:

2C= 31 + 7

2C= 38

C= 38 ÷ 2

C=19

Finally, the number of points Carlos scored in the last game is 19.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

Make c subject of the formula

πc² =A​

Answers

Answer: c=[tex]\sqrt{A/\pi}[/tex]

Step-by-step explanation:

πc²=A​

c²=A/π

c=[tex]\sqrt{A/\pi}[/tex]

determine whether the data are qualitative or quantitative. the colors of automobiles on a used car lot

Answers

The data is qualitative one.

Qualitative Data:

Qualitative data consists of Labels, Attributes, Descriptions

This type of data is observed not measured

Examples: Colors, categories, appearances, dogs, etc.

Basically it considers the qualities of the data.

Quantitative Data:

Quantitative data Consists of numbers or counts in the data.

This type is mainly focused on the measurement. Which means it only consider the quantities.

Examples: Length, height, area, speeds, dollar amounts, ages, etc.

Given,

The colors of automobiles on a used car lot.

Here we need to determine the given data is qualitative or quantitative.

Based on the definition of the qualitative or quantitative,

We conclude that the given data is qualitative.

Because it describe the quality of the car.

To know more about Qualitative and Quantitative here.

https://brainly.com/question/12831013

#SPJ4

A fisk tank in the shape of a cube. its volume is 125ft. what is the area of one face of the tank

Answers

The area of one face of the fish tank in the shape of a cube is 25 ft²

The formulas and the procedures we will use are:

v = s³A= 6*s²

Where:

s= edge lengthv= volumeA = area

Information about the problem:

v = 125ft³s = ?A = ?

Applying the volume formula and isolating the edge length, we have:

v = s³

s = [tex]\sqrt[3]{}[/tex]v

s = [tex]\sqrt[3]{}[/tex](125 ft³)

s = 5 ft

With the edge length, we calculate the area of the cube of one face of the tank:

Total faces of the cube = 6

One face of the cube = 1

A= 1*s²

A= 1*(5ft)²

A= 1*25ft²

A= 25 ft²

What is the area?

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft2, m2

Learn more about area at: brainly.com/question/11957651

#SPJ4

Pablo mixes 3 units of white paint and 1 unit of black oaint to make gray paint. What two equations show the relationship between units of white paint and unites of black paint

Answers

Step-by-step explanation:
Represent white paint with w and black with b
Given
When w=3;b=1
Required
Determine the two equations
To get a gray paint, the w and b are needed in the following proportion:
3 * 1 = 1 * h
-=---(1)
Solve for b
3 * w =b
Reorder h= 3 * W
b=3w
-…~- This is an equation

To get another equation,

3 * W = 1 * b
Solve for w
3 * 10 = 6
3w = b
Make w the subject

w = =1/3b

Hence, the equations that show the relationship between w and b are:
w = =1/3b
and b= 3w
MrRoyal • Quality

What are the solutions to the equation

w squared



=

36

? Select all that apply.





18


6




9




6


18


9

Answers

I don’t get it, it says select all that apply but there’s nothing for me

Answer:-4

Step-by-step explanation:

Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-4y = x - 18

Answers

If three points (2,4), (6,3), (10,2) are correct, the line -4y = x - 18 will appear.

If all the three points are plotted correctly then the line obtained will be -4y = x - 18.

The form of equation of line is the slope intercept form of line. In this form of line, the line is represented with the slope of line and the intercept of the y axis.

By using the equation of the line, all the three correct points can be found out easily,

By assuming any three values of x, we can find the value of y.

1. Let us assume x = 2.

Putting value of x we get,

-4y = 2 - 18

-4y = -16

y = 4.

So, the first point is (2,4).

2. Let us assume x = 6.

Putting value of x we get,

-4y = 6-18

-4y = -12

y = 3.

So, the second point is (6,3).

3. Let us assume x = 10.

Putting value of x we get,

-4y = 10-18

-4y = -8

y = 2.

So, the third point is (10,2).

The three points to obtain the equation of line -4y = x -18, are (2,4), (6,3) and (10,2).

To know more about Slope-intercept form, visit,

https://brainly.com/question/1991439

#SPJ9

f(x)=x+5
g(x)=\sqrt 3x+1



find f/g and f-g then give their domains using interval notation ​

Answers

[tex] \frac{f(x)}{g(x)} = \frac{x + 5}{ \sqrt{3x + 1} } [/tex]

[tex]x ∈ \: \: ] \frac{ - 1}{3} ,∞[[/tex]

[tex]f(x) - g(x) = x + 5 - \sqrt{3x + 1} [/tex]

[tex]x ∈ \: \: [ \frac{ - 1}{3} ,∞[[/tex]

Maker the subject of this formula.
V = ³√p+r?

Answers

Answer:

here's the answer I have in the photo and solution too

Other Questions
This committee was the first to draft the Declaration of Independence.Committee of CorrespondentsFirst Continental CongressSecond Continental CongressSons of Liberty Whoops! iss anyonee here?*change this to passive voice* At a local pizzeria, a pizza with one topping is 9.99. You can add additional toppings for 1.25 each. The pizzeria's menu lists 10 different toppings. Write a function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings. Find the domain and range. A cube has a volume of 197 meters cubed (197 m3) What is the approximate value of one edge of the cube? The approximate value of one edge of the cube is meters. Round your answer to the nearest hundredth. What is the approximate area of one face of the cube? The approximate area of one face of the cube is meters. Round your answer to the nearest hundredth. Why were the English able to defeat the French in early battles, such as the one at Crcy? president abraham lincolns plan for reconstruction punished confederates who owned large farms. issued harsh penalties for confederate military offic a swimming pool has two pipes coming in. one fills the pool in four hours, the other in six hours. an outlet pipe empties the pool in five hours. the outlet pipe is accidentally left open. in how many hours is the pool full? a client is diagnosed with an st segment elevation myocardial infarction (stemi) and is receiving a tissue plasminogen activator, alteplase. which action is a priority nursing intervention? 25 points plus brainliest Write 5 600 000 in standard form. help me with this precal given that jacob's chocolates had owner investments of $4,000; net income during the period of $10,000; and owner withdrawals of $300 calculate the ending balance in the owner's capital account. PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT Wilson hires a financial analyst to analyse costs and profits for his cereal production business. The analyst determines that Wilsons eventual profit function is given as: , where x is the number of bags of cereal produced. At what point or number of bags of cereal will Wilsons profit start decreasing Find an example of an analogy in paragraph 5 of a quilt of a country Alejandro and some friends are going to the movies. At the theater, they sell a bag of popcorn for $3.50 and a drink for $4. How much would it cost if they bought 3 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks?Total cost, 3 bags of popcorn and 8 drinks:______Total cost, p bags of popcorn and d drinks:______ 0.82, 45/50 ,80%14. The numbers ordered from lowest to highest are if pi is 3.142 what is the area of a circle of radius 3.5 cm something attached to but holding an inferior position. (Its multiple choice) a. AdmireB. AdjunctC. JunctureD. Injunction A string of length L , mass per unit length , and tension T is vibrating at its fundamental frequency. (i) If the length of the string is doubled, with all other factors held constant, what is the effect on the fundamental frequency?(a) It becomes two times larger.(b) It becomes 2 times larger. (c) It is unchanged.(d) It becomes 1 /2 times as large. (e) It becomes one-half as large.