B. f(x) = x3 + 4x2 − x − 4
C. f(x) = x3 + x2 − 9x − 9
D. f(x) = x3 + 3x2 − 3x − 9
Answer:
Option: C is the correct answer.
Step-by-step explanation:
Clearly from the graph we could see that:
3 and -3 are zeros of the function f(x).
since the graph crosses these two points on the x-axis.
i.e. when x=3 or -3 ⇒ f(x)=0
Now when we put x=3 in each of the equation we see that:
A)
when x=3
Hence, option A is incorrect.
B)
when x=3
Hence, option B is incorrect.
D)
when x=3
Hence, option D is incorrect.
Hence all the three options are discarded.
Hence, option C is the correct answer.
The function best represents the graph is:
The solutions for the given problems we have:
1) The solution of the inequality is:
x ≤ 2
2) The absolute value equation has two solutions:
z= 2
z = -12
3) The correct matches are:
5y + 2 = 5y + 8 this has no solutions
2*(y + 4) = 2y + 8 this has infinite solutions
5y + 2 = 2y + 8 This has a single solution.
Here, we have,
Remember that solving means to isolate the variable in one side of the expression.
1) We have the inequality:
-4x + 17 ≥ 9
-4x ≥ 9 - 17
x ≤ -8/-4
x ≤ 2
This is the solution of the inequality.
2) We have the absolute value function:
|5 + z| + 3 = 10
|5 + z| = 10 - 3 = 7
We can decompose this into:
5 + z = 7
5 + z = -7
Then the two solutions are:
z = 7 - 5 = 2
z = -7 - 5 = -12
3) The correct matches here are:
5y + 2 = 5y + 8 this has no solutions, these are parallel lines.
2*(y + 4) = 2y + 8 this has infinite solutions (all real numbers).
5y + 2 = 2y + 8 This has a single solution.
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complete question:
HELP ASAP 30 POINTS 9TH GRADE MATH. WILL GIVE BRAINIEST IF CORRECT
Solve.
Question 1.
-4x + 17 ≥ 9.
Question 2.
| 5 + z | + 3 = 10.
Question 3.
Match to the correct one
5y + 2 = 5y + 8. 1. All real numbers
2 (y + 4) = 2y + 8. 2. No solutions
5y + 2 = 2y + 8 3. Infinity many solutions.
(b). Find the volume of the solid generated when R is revolved about the line y=-2.
Volume of the solid generated when R is revolved about the x-axis is 10π and the volume of the solid generated when R is revolved about the line y = -2 is 40π/3.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The volume of the solid generated when R is revolved about the x-axis,
where a and b are the x-coordinates of the points of intersection of the curve y = √(x-2) and the line y = 2.
Solving y = √(x-2) and y = 2 for x, we get:
x = 6 and x = 2
Limits of integration are a = 2 and b = 6. Substituting y = √(x-2) into the formula for the volume, we get:
V =
V= π [(6²/2 - 2(6)) - (2²/2 - 2(2))]
=10π
Volume of the solid generated when R is revolved about the x-axis is 10π.
b. The volume of the solid generated when R is revolved about the line y = -2
Substituting y = √(x-2) into the formula for the volume, we get:
We can simplify this by using the identity:
V =40π/3
Therefore, the volume of the solid generated when R is revolved about the line y = -2 is 40π/3.
Hence, Volume of the solid generated when R is revolved about the x-axis is 10π and the volume of the solid generated when R is revolved about the line y = -2 is 40π/3.
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Answer:
1. geometric 2. arithmetic