Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
$125 because when you do $500x0.75 it equals $375. $500-375=$125
Answer:
The answer to your question is No
Step-by-step explanation:
Data
function f(x) = 2x³ + x² - 10x - 12
To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.
Substitution
f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12
Simplification
f(-2) = 2(-8) + 4 + 20 - 12
f(-2) = -16 + 4 + 20 - 12
f(-2) = -28 + 24
f(-2) = -4
-2 is not a root that the function.
Answer:
(y1-y2)/(x1-x2)
Step-by-step explanation:
if you have two points from the graph then you can use them to find the slope, for example:
(2,3) and (0,5)
you would take the first point and put it in a fraction (and the second point) but the x goes on the bottom and the y goes on the top:
3/2 and 5/0
Next you put them together minusing one of the equations, but make sure that the two coordinates line up (it doesn't matter which one, in the order):
3-5/2-0
Then you solve:
-2/2
-1
which means that -1 is the slope for this
(the "/" is a fraction bar, in case you didn't already know that)
Answer:
Applying Quotient and power rule. Graphically, for x>0 both curves coincide.
Step-by-step explanation:
1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:
2) Check the graph below to see this equivalence. to see x>0 they both coincide.
