4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
Hello!
You first find out how many objects there are in total
4 + 9 + 3 = 16
Then you find the probability of Liliana picking a orange
Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange
Next you find the probability of Liliana picking a pear
There are 3 pears and 16 items to pick so she has a 3/16 chance
Then you add them together to find the chance of either happening
4/16 + 3/16 = 7/16
So she has a 7 out of 16 chance of getting an orange or a pear
The answer is 7/16
Hope this helps!
1 yard (3/3) is equal to 3 feet, then 10/3 is equals to 10 feet