Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3 Which of the following functions best represents the graph? a f(x) = x3 + x2 − 9x − 9
b f(x) = x3 + 4x2 − x − 4
c f(x) = x3 + 3x2 − 3x − 9
d f(x) = x3 + 2x2 − 4x − 8
Answers
Answer:
Option A is correct .i.e, f(x) = x³ + x² - 9x - 9 represent the graph best.
Step-by-step explanation:
Given: x-intercepts of cubic polynomial are -3 , -1 and 2
To find the cubic polynomial, f(x)
We know the x-intercept of cubic polynomial are the zeroes of the polynomials.
So the factors of cubic polynomials we get from zeroes are ( x + 3 ) , ( x + 1 ) and ( x - 3 )
Cubic polynomial , f(x) = ( x + 3 ) ( x + 1 ) ( x - 3 )
= ( x + 3 ) ( x - 3 ) ( x + 1 )
(using identity: (a-b) (a+b) = a² - b²)
= ( x² - 9 ) ( x + 1 )
= x² ( x + 1 ) - 9 ( x + 1 )
= x³ + x² - 9x - 9
Therefore, Option A is correct .i.e, f(x) = x³ + x² - 9x - 9 represent the graph best.
If you graph the function on a graphing calculator, you will find that it matches all of the necessary parts. If falls to the left and rises to the right.
It also has zeros at -3, -1 and 3.
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Can anyone help me with ratios
Answers
Answer: x= 41
Explanation: Angles 1 and 2 have to equal 180° since they are supplementary. So you put 3x+2x-25=180, you then add like terms. 5x-25=180 Then you have to isolate x, so you add 25 to both sides of the equation. 5x=205, then you divide both sides by 5. So your answer is x=41.
You can check to make sure by plugging in x for 41 .
Hope this helps!
Answers
I belive the 3rd picture is A so sorry if i get this wrong
The right answer!
A
Step-by-step explanation:
I knew it
Answers
Rounding numbers make numbers easier to work with. The tenths is the place found immediately to the right of the decimal point. The next place is called the hundredths. If the number in the hundredths place is 5 or above, we add one to the number in the tenths place and let the other numbers go. If the number in the hundredths place is four or below, we let the other numbers go.
First. 200
200 is already rounded to the nearest tenth. Note that there is no any decimal point.
Second. 19.30 seconds
The number in the tenth place is 3 and the number in the hundredth place is 0, that is, zero is less than four, therefore we can say that this number rounded to the nearest tenth is:
19.30 or 19.3
Third. Usain bolt, jamaica
We can't round words. This concept is apply only to real numbers.
Answers
Speed of a object is defined as the total distance covered in the total time taken. To run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.
Given information-
Luke can run a mile in 7 minutes.
Colleen can run a mile in 5 minutes.
What is speed?
Speed of a object is defined as the total distance covered in the total time taken. Speed is the ratio of the distance to the time taken
. Thus,
As Luke can run 1 mile in 7 minutes. Thus the speed of the Luke is,
Thus the speed of the Luke is 1/7 miles per minute.
As Colleen can run 1 mile in 5 minutes. Thus the speed of the Colleen is,
Thus the speed of the Luke is 1/5 miles per minute.
The total time taken by the Luke to cover the 11 miles with the speed of 1/7 miles per minute is,
Solve for
Hence, the total time taken by Luke to run 11 miles is 77 minutes.
The total time taken by the Colleen to cover the 11 miles with the speed of 1/5 miles per minute is,
Solve for
Hence, the total time taken by Colleen to run 11 miles is 55 minutes.
Extra time taken by Luke to cover 11 miles than Colleen is,
Hence to run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.
Learn more about the speed here;
Answers
$24.95 : 5 = 4,99 $
Second company is better
Answer:
The 5 games for $24.95
Step-by-step explanation:
A coordinate plane is shown. A line passes through the y-axis at 3 and through the point 2 comma 4.
0
1
3
3.5
Answers
Hello!
The y-intercept is where the line hits the y-axis. By looking at the graph, we can see that this line intersects with the y-axis at point (0,3). We just write the y-intercept as this y-value.
Therefore, our answer is C) 3.
I hope this helps!
Answer:
yup c
Step-by-step explanation: