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Feliz [49]
3 years ago
14

Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0
A cubic function is a function with the highest degree of 3. So the answer is V
Andrews [41]3 years ago
8 0

Answer:

Option C is a cubic function

Step-by-step explanation:

Given the options we have to choose the cubic function

Cubic function is the function with degree 3 i.e the highest power of variable is 3.

Option a: f(x)=3x+1

The above polynomial has highest power 1 i.e of degree 1

∴ not a cubic function

Option b: f(x)=3x^2+x+2

The above polynomial has highest power 2 i.e of degree 2

∴ not a cubic function

Option c: f(x)=5x^3+2x+1

The above polynomial has highest power 3 i.e of degree 3

∴ above is a cubic function

Option d: f(x)=x^3+x^4+5

The above polynomial has highest power 4 i.e of degree 4

∴ not a cubic function

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The radius of a circle is (7x+3)cm. Write an expression to represent the area of the circle in simplified form
zepelin [54]

Answer:

A = π(7x + 3)² cm²

Step-by-step explanation:

A = πr² is the appropriate equation.  If r = 7x + 3 cm, then the area of this particular circle is:

A = π(7x + 3)² cm²

3 0
3 years ago
Find a point on the graph of the function y=f(x)+3
Fudgin [204]
In the general case, it is (x, y+3), where y = f(x).
5 0
3 years ago
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars.
Karolina [17]

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

6 0
2 years ago
What is 20 / 65.9635
anastassius [24]

Answer:

the answer to your question is 0.3031979807

4 0
3 years ago
Read 2 more answers
what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the larges
NNADVOKAT [17]

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The <em>lowest</em> of the three numbers is -3.

The <em>smallest</em> however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer.  In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable.  If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) =  7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) =  7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

3 0
3 years ago
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