f(x) = x³ - 3x² + 3x - 1f(x + 1) What is the value?

A) x³+1

B) x³-1
C) x³
D) x²
E) x²+1

Answers

Answer 1
Answer: f(x+1)=(x+1)^3-3(x+1)^2+3(x+1)-1\n f(x+1)=x^3+3x^2+3x+1-3(x^2+2x+1)+3x+3-1\n f(x+1)=x^3+3x^2+6x+3-3x^2-6x-3\n f(x+1)=x^3 \Rightarrow C
Answer 2
Answer: f(x)=(x-1)³ = x³ -3x² +3x -1 
f(x+1) = (x+1-1)³ = x³


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Fourteen is 20% of what number?

Answers

fourteen is 20% of 70.

Answer:

Step-by-step explanation:

70 :)

The product of 7/16 , 4/3 and 1/2 is?

Answers

The required product of 7/16, 4/3, and 1/2 is 7 / 24.

Given that,
The product of 7 / 16, 4 / 3, and 1 / 2 is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is simplification?

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.


Let the product of given values be x


x = 7 / 16 * 4 / 3 * 1 / 2


Multiplying numerator with numerator and denominator with denominator


x = (7 * 4 * 1) / (16 * 3 * 2)
x = 28 / 96
x = 7 / 24

Thus the required product of 7/16 , 4/3 and 1/2 is 7 / 24.

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its 7/24 if  its one of yur options hope it helps

Given the sequence: 4.5, 5.75, 7, 8.25, Find the common difference

Answers

Answer:

1.25 is the common difference

Step-by-step explanation:

The difference of this equation is 1.25

adela rode her bicycle 18.3 miles in 5 hours. which gives the best estamate of how far adela rode in 1 hour

Answers

Answer:

Adela rode 1 hour = 3.66 miles.

Step-by-step explanation:

Given  : Adela rode her bicycle 18.3 miles in 5 hours.

To find : Which gives the best estimate of how far Adela rode in 1 hour.

Solution : We have given

Adela rode 5 hour = 18 .3 miles .

Adela rode 1 hour = (18.3)/(5).

Adela rode 1 hour = 3.66 miles.

Therefore, Adela rode 1 hour = 3.66 miles.

I think it is about 4 miles in one hour. But the exact answer is 3.66 miles in one hour. To get , I answer I divided 18.3 by 5 hours and got 3.66 which then rounded to 4. I hope this helped u!

Transform the equation x-3y=-15 to express it in slope-intercept form

Answers

The equation x - 3y = -15, when expressed in slope-intercept form, becomes y = (1/3)x + 5.

To express the equation x - 3y = -15 in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.

Let's begin by moving the x term to the other side of the equation:

x - 3y = -15

Subtracting x from both sides, we have:

-3y = -x - 15

Next, we divide both sides by -3 to isolate y:

y = (1/3)x + 5

Now, the equation is in slope-intercept form. The coefficient of x, which is (1/3), represents the slope of the line. In this case, the slope is positive (1/3), indicating that as x increases by 1 unit, y increases by (1/3) unit. The y-intercept, which is the value of y when x is 0, is 5. This means the line crosses the y-axis at the point (0, 5).

To learn more about the slope;

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x-3y=-15
-3y=-x-15
-1(-3y=-x-15)
3y=x+15
3/3y=1/3x+15/3
y=1/3x+5

An athletics track has a circular shape and its diameter measures 80 m. An athlete training on this track wants to run 10 km daily. Determine the minimum number of complete turns that it should take this track every day

Answers

Answer:

Step-by-step explanation:

First, we need to find the length of the circular track,

area of circle = \pi d

in this case,

\pi d=80\pi meters

10km = 10000 meters

he needs to run (10000)/(80\pi ) = 392.6\n times to complete his goal.