Part (a)
Plug in y = 0 and solve for x. Use the zero product property
y = x(x+3)(x-2)
0 = x(x+3)(x-2)
x(x+3)(x-2) = 0
x = 0 or x+3 = 0 or x-2 = 0 .... zero product property
x = 0 or x = -3 or x = 2
The three roots or zeros are x = 0 or x = -3 or x = 2
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Part (b)
The roots of the graph are: x = -2, x = 1, x = 3. Each root is where the graph crosses or touches the horizontal x axis.
Note how x = 0 is found in part (a), but not found here. This is one example where the graphs don't match. Another would be x = -3 is in part (a), but not here.
So that's why the graph does <u>not</u> match with the function in part (a)
Answer:
5 - 1 year
6 - 738.92
Step-by-step explanation:
5: 260 = 250(1.04)^t
Divide both sides by 250, and we get 1.04. So t must be 1.
6: x + 45 = x(1.03)²
Solve to find x
Answer:The solutions are:

and
Explanation:The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
2x² - 6x + 5 = 0
By comparison:
a = 2
b = -6
c = 5
Now, to get the solutions of the equation, we will have to use the quadratic formula shown in the attached image.
By substituting in the formula, we would find that:
either x =

or x =

Hope this helps :)
Answer:
first line is mode second line is 21
Answer:
Step-by-step explanation:
The answer is 44