Answer:
The roots for the given equation are -8 and 3.
Step-by-step explanation:
The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.
x² * -24 = -24x²
-24x² = 8x * -3x
Now, we write our new equation by replacing 5x with 8x - 3x.
x² + 8x - 3x - 24
Group the first and second terms together and also group the last two terms together.
(x² + 8x) + (-3x - 24)
Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.
x(x + 8) -3(x + 8)
Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.
(x - 3)(x + 8)
Now, equal each term in the parentheses to zero.
x - 3 = 0
x + 8 = 0
Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.
x = 3
x = -8
So, the roots of this equation are {-8, 3}
Answer:
Probability that both numbers are odd =2/9
Step-by-step explanation:
Odd numbers are numbers such that, when they divide 2, there is a remainder.
Ten slips of paper numbered 1 through 10 are placed in a bag.
In number one to ten, the odd numbers are 1, 3,5,7 and 9
They all divide 2 and leaves a remainder.
Total number of odd numbers is 5
Total number of both odd and even numbers from one through 10 is 10
Probability of picking an odd number
= number of odd numbers/ total numbers.
Probability of picking an odd number
= 5/10= 1/2
Probability of picking another odd number without replacement is 4/9
Probability that both numbers are odd = 1/2 × 4/9 =2/9
Roy is correct. When you multiply fractions, you multiply the numerator of one fraction and the other numerator of the other fraction, and vice versa for denominator.
7 x 3 = 21 (Numerators)
——- —-
3 x 8 = 32 (Denominators)
I hope this helped!
