If f(c) = 0, which of the following statements must be true?A. The point (c,0) lies on the graph of f(x)
B. x - c is a factor of f(x).
C. c is a 0 for f(x).
D. All three statements are true.
Answers
For this case suppose we have a function of the form:
y = f (x)
Where,
x: independent variable
y: dependent variable
We have then that the value of the function for x = c is:
f (c) = 0
Therefore, we have that:
The point (c, 0) belongs to f (x)
x-c is a common factor of f (x) because the function evaluated at x = c is equal to zero.
x = c is a root of f (x) so c is a zero of the function f (x)
Answer:
D. All three statements are true.
Thank you.
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Let's say that the area of the base is x.
The volume of the cylinder = x * 30 (area of the base multiplied with the height)
The volume of the cone = x/3 * 30 (1/3 multiplied with the area of the base and the height)
This means that the cone has one third of the volume of the cylinder's. Therefore if I pour water from a full cone, I can fill the cylinder only to the third of its volume, and in this case, height. So the answer is 10 cm.
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Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.
As I said in last message, it exist an triangular inequality that is seen in Europe! An pupil of 16 years old should know it!!!
If a,b,c are the sides of a triangle it MUST exist these equality:
each side must be less then the sum of the others sides.
1)a<b+c
2)b<a+c
3)c<a+c
In the way:
5<8+x ==> x>-3 already done
8<x+5 ==>x>3
x<5+8==>x<13
thus 3<x<13
Did you enjoy all these words Melek, whose are written for nothing.
It is only bla-bla in english having nothing to do with a mathematic demonstration.
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Answer:
The retail price of the couch is $ 201.25.
Step-by-step explanation:
Given, the wholesale price of the couch = $ 115,
Marked up rate = 75 %,
So, the total marked up = 75 % of wholesale price
= 75 % of $ 115
Hence, the retail price of the couch = The wholesale price + Total marked up
= $ 115 + $ 86.25
= $ 201.25
Answers
Answers
Answer:
i can't do Graphs well but i am sure this will help
graph of the function f(x) = 2(x-3)f(x)=2(x−3) would generally look like:
The function f(x) = 2(x-3)f(x)=2(x−3) is a linear function in the form of y = mx + by=mx+b, where mm is the slope and bb is the y-intercept.
In this case, the slope mm is 2, which means that for every 1 unit increase in xx, yy will increase by 2 units. The fact that the slope is positive indicates that the graph will slant upwards from left to right.
The term (x-3)(x−3) represents a horizontal shift of the graph. When x = 3x=3, f(x) = 0f(x)=0, which means the graph crosses the y-axis at the point (3, 0).
Putting it all together, you can draw a line that passes through the point (3, 0) and slopes upward at an angle of approximately 45 degrees. The line will get steeper as it moves to the right. This graph represents the linear function f(x) = 2(x-3)f(x)=2(x−3).
Remember, you can use graphing tools or calculators to visualize and draw this function accurately.