Answer:
5
Step-by-step explanation:
20*5=100
Answer:
10 meters
Step-by-step explanation:
Let at 100 degrees Celsius, the aluminum bar is x m long.
We have been given that aluminum bar is 2 m long at a temperature of 20 degrees Celsius.
Thus, we have the equation
[tex]\frac{2}{20}=\frac{x}{100}[/tex]
Solve the equation for x
[tex]x=\frac{2\times100}{20}\\\\x=10[/tex]
Thus, at 100 degree Celsius, the aluminium bar is 10 meters long.
x^y=y^x find derivitive
Answer:
[tex]y'=\frac{y^2-xy\ln(y)}{x^2-xy\ln(x)}[/tex]
Step-by-step explanation:
Take natural log of both sides first.
[tex]x^y=y^x[/tex]
[tex]\ln(x^y)=\ln(y^x)[/tex]
Taking the natural log of both sides allows you to bring down the powers.
[tex]y\ln(x)=x\ln(y)[/tex]
I'm going to differentiate both sides using the power rule.
[tex](y)'(\ln(x))+(\ln(x))'y=(x)'(\ln(y))+(\ln(y))'x[/tex]
Now recall (ln(x))'=(x)'/x=1/x while (ln(y))'=(y)'/y=y'/y.
[tex]y'(\ln(x))+\frac{1}{x}y=1(\ln(y))+\frac{y'}{y}x[/tex]
Simplifying a bit:
[tex]y' \ln(x)+\frac{y}{x}=\ln(y)+\frac{y'}{y}x[/tex]
Now going to gather my terms with y' on one side while gathering other terms without y' on the opposing side.
Subtracting y'ln(x) and ln(y) on both sides gives:
[tex]\frac{y}{x}-\ln(y)=-y'\ln(x)+\frac{y'}{y}x[/tex]
Now I'm going to factor out the y' on the right hand side:
[tex]\frac{y}{x}-\ln(y)=(-\ln(x)+\frac{x}{y})y'[/tex]
Now we get to get y' by itself by dividing both sides by (-ln(x)+x/y):
[tex]\frac{\frac{y}{x}-\ln(y)}{-\ln(x)+\frac{x}{y}}=y'[/tex]
Now this looks nasty to write mini-fractions inside a bigger fraction.
So we are going to multiply top and bottom by xy giving us:
[tex]\frac{y^2-yx\ln(y)}{-xy\ln(x)+x^2}=y'[/tex]
[tex]y'=\frac{y^2-xy\ln(y)}{x^2-xy\ln(x)}[/tex]
The derivative of the implicit function [tex]x^y = y^x[/tex] is [tex]\[\frac{dy}{dx} = \frac{\ln(y) - \frac{y}{x}}{\ln(x) - \frac{x}{y}}\][/tex].
To find the derivative of the implicit function defined by [tex]\( x^y = y^x \),[/tex] follow these steps:
Take the natural logarithm of both sides to simplify the expression:[tex]\ln(x^y) = \ln(y^x)[/tex]
Using logarithm properties, this becomes:y ln(x) = x ln(y)
Differentiate both sides with respect to x. Use implicit differentiation where y is considered a function of x:
For the left side, differentiate y ln(x):[tex]\[ \frac{d}{dx}[y \ln(x)] = \frac{dy}{dx} \ln(x) + y \cdot \frac{1}{x} \][/tex]
For the right side, differentiate x ln(y):[tex]\[ \frac{d}{dx}[x \ln(y)] = \ln(y) + x \cdot \frac{1}{y} \cdot \frac{dy}{dx} \][/tex]
Set the derivatives equal to each other:[tex]\[ \frac{dy}{dx} \ln(x) + \frac{y}{x} = \ln(y) + \frac{x}{y} \cdot \frac{dy}{dx} \][/tex]
Solve for [tex]\( \frac{dy}{dx} \):[/tex]
Rearrange terms involving [tex]\( \frac{dy}{dx} \):[/tex][tex]\[ \frac{dy}{dx} \ln(x) - \frac{x}{y} \cdot \frac{dy}{dx} = \ln(y) - \frac{y}{x} \][/tex]
Factor out [tex]\( \frac{dy}{dx} \):[/tex][tex]\[ \frac{dy}{dx} \left(\ln(x) - \frac{x}{y}\right) = \ln(y) - \frac{y}{x} \][/tex]
Finally, solve for [tex]\( \frac{dy}{dx} \):[/tex][tex]\[ \frac{dy}{dx} = \frac{\ln(y) - \frac{y}{x}}{\ln(x) - \frac{x}{y}} \][/tex]
write two linear functions, f(x) and g(x). For example, f(x)= 3x-7 and g(x)= -2x+5. Then see whether f(x) - (-g(x)) is equivalent to f(x) + g(x).
Answer:
the two expressions are equivalent.
Step-by-step explanation:
We know that f(x)= 3x-7 and g(x)= -2x+5, therefore:
f(x) - (-g(x)) = 3x-7 - ( +2x-5) = 3x - 7 - 2x + 5 = x -2
f(x) + g(x) = 3x-7 -2x + 5 = x - 2
Therefore, f(x) - (-g(x)) is equivalent to f(x) + g(x).
Another way to check that the two expressions are equivalent is by solving the parenthesis:
f(x) - (-g(x)) → f(x) + g(x)
Therefore, the two expressions are equivalent.
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the
foreign language they are studying Charles first gets class lists of all students taking foreign language classes. He then
chooses 10 students from each different language class to survey. Which best explains why the sample he chose may not b
a representative sample?
Is this app good
Step-by-step explanation:
hvvvbgdddtunnfdyjvhjk
What are the solutions of 4x2-x+9=0
For this case we must find the solutions of the following equation:
[tex]4x ^ 2-x + 9 = 0[/tex]
We apply the cudratic formula:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]
Where:
[tex]a = 4\\b = -1\\c = 9[/tex]
Substituting:
[tex]x = \frac {- (- 1) \pm \sqrt {(- 1) ^ 2-4 (4) (9)}} {2 (4)}\\x = \frac {1 \pm \sqrt {1-144}} {8}\\x = \frac {1 \pm \sqrt {-143}} {8}[/tex]
Thus, the complex roots are:
[tex]x_ {1} = \frac {1 + i \sqrt {143}} {8}\\x_ {2} = \frac {1-i \sqrt {143}} {8}[/tex]
Answer:
[tex]x_ {1} = \frac {1 + i \sqrt {143}} {8}\\x_ {2} = \frac {1-i \sqrt {143}} {8}[/tex]
A system of linear equations contains two equations with negative reciprocal
slopes. Select all of the correct statements.
O
O
A. The system will have two solutions.
O
B. The system will have one solution.
O c. The system may have no solution.
D. The system may have infinitely many solutions.
The system of equation will have one solution.
The correct answer is an option (B)
What is a system of equation ?It is a collection of one or more linear equation involving the same variable.
For given question,
Two equations have negative reciprocal slope .
Which means if one equation have slope = m
then slope of other equation will be = -1/m
This means, both the lines are perpendicular to each other , hence both the lines must be intersecting each other at one point.
In system of equation , the solution of the two equation is the point where they intersect .
Since, both the lines are intersecting at one point . Hence, it will have only one solution.
Therefore, the correct answer is an option b) the system will have one solution
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which rule represents the translation of hexagon D'E'F'G'H'I' ?
A. (x, y) -> (x - 8, y - 7)
B. (x, y) -> (x - 7, x - 8)
C. (x, y) -> (x - 4, x - 5)
D. (x, y) -> (x - 5, y - 4)
Answer:
C (X,Y)->(X-4,×-5) I would say bro
A 4-cylinder engine has a bore of 3 inches and a stroke of 3 inches. What’s the total piston displacement
Answer:
Piston displacement = 84.8
Step-by-step explanation:
We will find the volume of the cylinder in order to find the piston displacement.
Here, (bore = diameter, so r = diameter/2) (height = stroke)
Volume = [tex] \pi r^2h[/tex] [tex]=3.14\times1.5^2\times 3[/tex] = 21.2 cubic units
Since the engine has 4 cylinders, so we will multiply the piston displacement by 4 to get:
Piston displacement = [tex]21.2 \times 4[/tex] = 84.8
The total piston displacement for a 4-cylinder engine with a bore and stroke of 3 inches can be calculated using the formula: pi/4 * bore^2 * stroke * number of cylinders. For this example, it is approximately 113.097 cubic inches.
Explanation:To calculate the total piston displacement, we use the formula for the displacement of a single cylinder, which is pi/4 * bore^2 * stroke * number of cylinders.
In this scenario, the bore and stroke are both 3 inches and it's a 4-cylinder engine. Therefore, we plug in these values into the formula.
So, the total displacement is pi/4 * (3inch)^2 * 3inch * 4. This calculates to approximately 113.097 cubic inches.
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A hockey player made 9 goals in 12 games. Find the ratio of goals to games
The ratio you need to find is goals : games
In this case you have...
9 goals
12 games
Plug this into the ratio goal : games
9 : 12
This ratio can be further reduced to...
3 : 4
What this means in words:
A hockey player will make 3 goals for every 4 games
Hope this helped!
~Just a girl in love with Shawn Mendes
given the function f(x)=-2x^2+3x+10 find f(1) and f(3) choose the statement that is true concerning these two values
the value of f(1) us the same as the value of f(3)
the value of f(1) cannot be comparEd to the value of f(3)
the value of f(1) is larger than the value of f(3)
the value of f(1) is smaller than the value of f(3)
We found the values of the function f(x) at points 1 and 3 and compared them. It's found that the value of f(1) is significantly larger than the value of f(3), hence the third statement is true.
Explanation:To answer your question, we need to substitute 1 and 3 into the function f(x)=-2x^2+3x+10, respectively. So:
For f(1), we get -2*1^2 + 3*1 + 10 = -2 + 3 + 10 = 11.
For f(3), we get -2*3^2 + 3*3 + 10 = -18 + 9 + 10 = 1.
Therefore, we can clearly see that the value of f(1) is larger than the value of f(3), meaning the third statement is true.
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2. Let f(x) = -2x - 7 and g(x) = -4x + 6. Find(gof)(-5).
[tex](g\circ f)(x)=-4(-2x-7)+6=8x+28+6=8x+34\\\\(g\circ f)(-5)=8\cdot(-5)+34=-6[/tex]
How could 1.75 metres be written as a fraction?
Answer:
1 3/4 meters
Step-by-step explanation:
1.75 = 1 3/4 [think of it as since 3 quarters equals 75 cents, and 4 quarters equals 100 cents or a dollar.]
So, 1 3/4 meters
A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and
jacks. Two cards are chosen from the deck at random.
Which expression represents the probability of drawing a king and a queen?
522
669)
522
GP,3GP)
522
(CGC)
522
Answer:
A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random.
Which expression represents the probability of drawing a king and a queen?
StartFraction (4 P 1) (3 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (3 C 1) Over 52 C 2 EndFraction
StartFraction (4 P 1) (4 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (4 C 1) Over 52 C 2 EndFraction
it is D
Step-by-step explanation:
The probability of drawing a king and a queen is 1/169.
Given,
A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks.
Two cards are chosen from the deck at random.
We need to find which expression represents the probability of drawing a king and a queen.
What is a combination?A combination is used when we want to determine the number of possible arrangements in a collection of items where the order of the selection does not matter.
The formula is given by:
[tex]^nC_r[/tex] = n! / r! ( n-r)!
We have,
52 playing cards
4 kings and 4 queens.
This means we have
The probability of drawing a king and a queen is:
= probability of drawing a king x probability of drawing a queen
= ^4C_1 / ^52C_1 x ^4C_1 / ^52C_1
= 4 / 52 x 4 / 52
= 1/13 x 1/13
= 1/169
Thus the probability of drawing a king and a queen is 1/169.
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7. David bought two types of cards. He bought x type of cards that cost $4 andy
type of cards that cost $2. There are a total of 22 cards and they have a total cost of
$26. If he bought 5 of the $4 type of cards, how many of the $2 cards did he buy?
cards
Answer:
Step-by-step explanation:
x + y = 22
22 cards = 26
5(4) +y(2) = 26
20+2y = 26
20-20 +2y = 26-20
2y =6
2y/2 = 6/2
y = 3
andy bought 3 cards
David bought 5 of the $4 cards and 17 of the $2 cards. By setting up and solving the equations, we determined the number of each type of card he purchased.
To solve this problem, we set up two key equations based on the given information.
Let x be the number of $4 cards and y be the number of $2 cards.
The equations are:
Total cards: x + y = 22Total cost: 4x + 2y = 26We know that David bought 5 of the $4 cards.
Therefore, x = 5.
Substituting x into the first equation:
5 + y = 22
y = 22 - 5
y = 17
So, David bought 17 of the $2 cards.
The table shows conversions for common units of capacity.
Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 cup
0.24 liters
How many quarts are in 583.7 liters? Round to the nearest tenth.
There are 138.6 quarts in 583.7 liters.
There are 153.6 quarts in 583.7 liters.
There are 554.5 quarts in 583.7 liters.
There are 614.4 quarts in 583.7 liters.
Answer:
Option D is correct.
Step-by-step explanation:
We need to find that how many quarts are there in 583.7 liters.
From conversion table we geet,
1 quart = 0.95 liters
=> 1 liters = 1/0.95 quarts
=> 1 liters = 1.0526 quarts
I liter has 1.0526 quarts then 583.7 liters will have:
583.7 liters = 1.0526*583.7 quarts
583.7 liters = 614,4 quarts.
So, Option D There are 614.4 quarts in 583.7 liters. is correct.
Answer:
d
Step-by-step explanation:
If EFGH is a parallelogram, then ________
Answer:
A parallelogram is a quadrilateral whose opposite sides are parallel and equal, opposite angles are equal, the sum of the interior angles is 360 degrees. Therefore, the parallelogram EFGH might be a rhombus.
Step-by-step explanation:
Answer:
then it might be a rhombus
Step-by-step explanation:
Factor the expression.
3x3 + 3x2 + x + 1
(x + 3)(3x2 – 1)
(x + 1)(3x2 + 1)
3x2(x + 1)
x(3x2 + x + 1)
Answer:
(x + 1) (3 x^2 + 1)
Step-by-step explanation:
Factor the following:
3 x^3 + 3 x^2 + x + 1
Factor terms by grouping. 3 x^3 + 3 x^2 + x + 1 = (3 x^3 + 3 x^2) + (x + 1) = 3 x^2 (x + 1) + (x + 1):
3 x^2 (x + 1) + (x + 1)
Factor x + 1 from 3 x^2 (x + 1) + (x + 1):
Answer: (x + 1) (3 x^2 + 1)
Answer:
(x + 1) (3 x^2 + 1)
Step-by-step explanation:
1.6x = 2
What does x equal
Answer: 1.25
Step-by-step explanation:
x=2/1.6
x=1.25
Answer:
x = 1.25
Step-by-step explanation:
Divide 1.6 on both sides to isolate x. 2 ÷ 1.6 = 1.25, so x = 1.25
Let f(x) = -2x + 7 and g(x) = -6x + 3. Find f x g and state its domain.
a. 12x^2 - 48x + 21; all real numbers except x = 1
b. 12x^2 - 48x + 21; all real numbers
c.-14x^2 + 36x - 18; all real numbers
d.-14x^2 + 36x - 18; all real numbers except x = 7
Answer:
b) [tex]12x^2-48x+21[/tex] ; all real numbers
Step-by-step explanation:
f and g are polynomials and polynomials have domain all real numbers.
This is because when you input any number there will always be a existing output. There are no restrictions on what you can plug into a polynomial.
So the answer is either b or c.
[tex](f \times g)(x)=f(x) \times g(x)[/tex]
[tex](f \times g)(x)=(-2x+7) \times (-6x+3)[/tex]
[tex]f \times g)(x)=(-2x+7)(-6x+3)[/tex]
Let's use foil!
First: [tex]-2x(-6x)=12x^2[/tex]
Outer: [tex]-2x(3)=-6x[/tex]
Inner: [tex]7(-6x)=-42x[/tex]
Last: [tex]7(3)=21[/tex]
-----------------------------Add like terms:
[tex]12x^2-48x+21[/tex]
The answer is b.
How to solve question 22?
Answer:
Josh has 29 coins.
Step-by-step explanation:
Let Terry have x coins then Josh has x + 12 coins.
Together they have x + x + 12 coins so we can form the equation:
x + x + 12 = 46
2x + 12 = 46
2x = 46 - 12 = 34
x = 17, so Terry has 17 coins and Josh has 17 + 12 = 29 coins.
Graph of f(x) = 2(3)^x?
Please and Thank You
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=2(3)^{x}[/tex]
This is a exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value (y-intercept)
b is the base
r is the rate of change
b=(1+r)
In this problem
a=2
b=3
1+r=3
r=3-1=2
r=200%
using a graphing tool
The graph in the attached figure
What is the first term of the quotient of the following division problem? (x3 – 1) ÷ (x + 2)
Answer:
x^2
Step-by-step explanation:
given:
x^3-1/x+2
As the denominator is linear function and the highest power in numerator is x^3
So the first term in quotient is going to be x^2 to cancel first term of numerator i.e x^3!
Answer:
x^2
Step-by-step explanation:
given:
x^3-1/x+2
As the denominator is linear function and the highest power in numerator is x^3
So the first term in quotient is going to be x^2 to cancel first term of numerator i.e x^3!
The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason in the proof.
Statements Reasons
2x + 2y = 14
-x + y = 5
Given
2x + 2y = 14
-2x + 2y = 10
A.Multiplication Property of Equality
B.Addition Property of Equality
C.Division Property of Equality
D.Subtraction Property of Equality
Answer:
A.Multiplication Property of EqualityStep-by-step explanation:
[tex]\left\{\begin{array}{ccc}2x+2y=14\\-x+y=5&\text{\underline{multiply both sides by 2}}\end{array}\right\\\\\boxed{\underline{+\left\{\begin{array}{ccc}2x+2y=14\\-2x+2y=10\end{array}\right}}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=24\qquad\text{divide both sides by 4}\\.\qquad\qquad y=6\\\\\text{put the value of y to the second equation:}\\\\-x+6=5\qquad\text{subtract 6 from both sides}\\-x=-1\qquad\text{change the signs}\\x=1[/tex]
Answer: Its Multiplication property of Equality
Step-by-step explanation: Just did the test
6,382
The value of an eight
worth 100 times the
value of the eight in
the number above.
Answer:
8000
Step-by-step explanation:
The value of 8 in this number is 80, so you multiply that by to get 8000.
I am joyous to assist you.
What is the solution to the system of equations below?
2x+3y=17
3x+6y=30
A. (-7,24)
B. (3,4)
C. (4,3)
D. (24,-7)
Answer:
The answer is C
Step-by-step explanation:
Use the method of elimination
First rearrange the first equation to look like the second
[tex]2x + 3y = 17 \\ 4x + 6y = 34 \\ - 4x - 6y = - 34[/tex]
Next add the two equations together eliminating the y term.
[tex] - 4x - 6y = - 34 \\ 3x + 6y = 30 \\ \\ - x = - 4 \\ x = 4[/tex]
There's only one answer with x = 4 so you're done. To go further, substitute x = 4 into the second equation and solve for y
[tex]3x + 6y = 30 \\ 3 \times 4 + 6y = 30 \\ 12 + 6y = 30 \\ 6y = 18 \\ y = 3[/tex]
Answer:
c
Step-by-step explanation:
The school football team had 43 new players and 13 returning players, if the coach put them in groups of 8. how many groups were there?
Answer: There were 7 groups.
Step-by-step explanation:
43 + 13 = 56
56/8 = 7
Answer: 7 groups.
Step-by-step explanation: Add the new and the only players.
43+13=56
Divide this number by 8.
56/8=7
There are 7 groups.
3. A catering service paid $520 for 10 center pieces and 60 glasses. The guest list grew, requiring an
additional 2 centerpieces and 36 glasses at a cost of $152. Follow the steps outlined below in order
to use a system of equations to find the cost of each centerpiece and each glass.
a. Name your variables.
Let x = the cost of a single centerpiece.
Let y = the cost of a single glass
b. Fill in the table.
First Bill- cost of centerpieces-cost of glasses-total cost
Second Bill-cost of centerpieces-cost of glasses-total cost
c. Write a system of equations to represent both orders.
10x+60y=520.
2x+30y=152
d. Solve the system using any preferred method.
e. Interpret your answer to part d using a complete sentence.
Find two equivalent expressions for the opposite of the polynomial -x^2+50x-9
Equivalent expressions are expressions of equal values.
[tex]\mathbf{x^2 - 50x + 9}[/tex] and [tex]\mathbf{ -(-x^2 + 50x - 9)}[/tex] are equivalent expressions for the opposite of [tex]\mathbf{-x^2 + 50x - 9}[/tex]
The expression is given as:
[tex]\mathbf{f(x) = -x^2 + 50x - 9}[/tex]
To calculate the opposite, we simply negate the signs of the expression.
So, we have:
[tex]\mathbf{-f(x) = -(-x^2 + 50x - 9)}[/tex]
Expand
[tex]\mathbf{-f(x) = x^2 - 50x + 9}[/tex]
The above highlights mean that:
[tex]\mathbf{x^2 - 50x + 9}[/tex] and [tex]\mathbf{ -(-x^2 + 50x - 9)}[/tex] are equivalent expressions for the opposite of [tex]\mathbf{-x^2 + 50x - 9}[/tex]
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Final answer:
To find equivalent expressions for the opposite of the polynomial [tex]-x^2+50x-9[/tex], we change the signs of all terms to get [tex]x^2-50x+9[/tex]. Equivalent expressions may be generated by distributing a factor such as [tex](-1)(-x^2+50x-9)[/tex], but the polynomial does not factor nicely over the integers for other simplifications.
Explanation:
To find two equivalent expressions for the opposite of the polynomial [tex]-x^2+50x-9[/tex], we start by taking the opposite of the given polynomial. The opposite (or negative) of a polynomial consists of changing the sign of each term. Therefore, the opposite of the given polynomial is [tex]x^2 - 50x + 9.[/tex]
An equivalent expression can be obtained by factoring, if possible, or by using other algebraic manipulations. However, in this case, [tex]x^2 - 50x + 9[/tex] does not factor nicely over the integers. To get an equivalent expression, we can express it in different forms, such as:
Distributing a factor: [tex](-1)(-x^2 + 50x - 9)[/tex]Factoring by grouping (though not applicable to this specific polynomial)Another way to express an equivalent polynomial is to add and subtract the same value within the expression, which maintains its equality.
total weight of 1.4kg+5kg+3.8kg
Answer:
10.2 kilograms
Step-by-step explanation:
You do the equation, 1.4kg+5kg+3.8kg and that is = to 10.2 kg
Hope that helped you :)
Good luck :))
Answer: 11.2 kg
Step-by-step explanation: Add the weights.
1.4+5+3.8=11.2
The total weight is 11.2 kg.
Need help asap!! Whats the answer
Answer:
The correct answer is option B. 11√2
Step-by-step explanation:
From the figure we can see two isosceles right angled triangle.
Therefore the sides are in the ratio 1 : 1 : √2
It is given that equal sides of the triangle is 11 units
So we can write, 11 : 11 : x = 1 : 1 : √2
x = 11√2
Therefore the value of x = 11√2
The correct answer is option B. 11√2
what is the input-output table for the function f(x) = 3x^2-x+4
Answer:
Step-by-step explanation:
The input-output table can be made by putting value of x and finding the value of f(x)
f(x) = 3x^2-x+4
f(0) = 3(0)^2-0+4 = 0-0+4 = 4
f(1) = 3(1)^2-1+4 = 3-1+4 = 2+4 =6
f(2) = 3(2)^2-2+4 = 3(4)-2+4 = 12-2+4 = 10+4 = 14
f(3) = 3(3)^2-3+4 = 3(9)-3+4 = 27-3+4 = 24+4 = 28
So put value of x and find f(x) and fill the input-output table.
x f(x)
0 4
1 6
2 14
3 28