The simple way to do this is to multiply the number of outcomes of one object times the number of outcomes in the other object. In this case a quarter has 2 sides, heads and tails. Since the spinner has 6 sections, there are 6 outcomes.
With this we can do, 2x6=12.
Therefore there are 12 outcomes
Answer:
y = -2x^2(x - 3)
Step-by-step explanation:
<em><u>Preliminary Remark</u></em>
If a cubic is tangent to the x axis at 0,0
Then the equation must be related to y = a*x^2(x - h)
<em><u>(3,0)</u></em>
If the cubic goes through the point (3,0), then the equation will become
0 = a*3^2(3 - h)
0 = 9a (3 - h)
0 = 27a - 9ah
from which h = 3
<em><u>From the second point, we get</u></em>
4 = ax^2(x - 3)
4 = a(1)^2(1 - 3)
4 = a(-2)
a = 4 / - 2
a = -2
<em><u>Answer</u></em>
y = -2x^2(x - 3)
First you do distributive property.
2c + 8 = 0
Then subtract 8 with 0
2c = -8
Then divide -8/2
<h2>c = -4</h2><h2>Hope this helps :)</h2><h2 />
Let's see what the options look like when we multiply the expressions in brackets:
(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))
3x2 +6x -3x +6// this is not correct
(2) (3x + 3)(x - 2) </span>
3x2-6x+3x-6//this is not correct
(3)
3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!
Answer:
D
Step-by-step explanation:
Triangle BDC is a right triangle (If you dont understand I can explain in depth). Since it's a right triangle, we can use the pythagorean theorem to find the length of BD. The pythagorean theorem states that the length of the smaller legs squared = the longest side squared. So we can set up the equation 
+
=
where x is the length of the missing side (BD). If we were to solve for x, (I think you should know how to do this but if not I can explain), you get 12
