Answer:
<h3>d. The roots are real, rational and equal.</h3>
Step-by-step explanation:
The discriminant of a quadratic equation is expressed using the equation:
D = b²-4ac. It talks about the nature of the roots of a quadratic equation.
If D>0, then the roots is real and unequal/distinct
If D<0 the roots are unreal and imaginary
If D = 0, the roots are real and equal (one real root)
According to this question, since the root given is a real value and also one value, then the the roots are real, rational and equal. Note that the root is rational since we can write it as a ratio of two integers e.g 34 = 34/1. 34 and 1 are integers
Answer:
Almonds cost $8 per pound and Cashews cost $10 per pound.
Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:
8a + 10c = 60
Only Cashews:
This means that Almonds would be zero.
8(0) + 10c = 60
10c = 60
c = 60/10
c = 6 pounds of cashews
Only Almonds
8 * a + 10(0) = 60
8a = 60
a = 60/8
a = 7.5 pounds of almonds
A mixture of both.
We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.
Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:
8 * 5 + 10c = 60
40 + 10c = 60
10c = 60 - 40
c = 20/10
c = 2 pounds of cashews
Answer:
Spinner: 50%
Die: 50%
Step-by-step explanation:
Well for the spinner it depends on the amount of numbers it has,
in this case we’ll use 6.
So The probability of landing on the even numbers in a 6 numbered spinner.
2, 4, 6
3/6
50%
Your average die has 6 sides so the odd numbers are,
1, 3, 5
3/6
50%
Answer:
Distribute 2 to (x + 6) and 3 to (x-4)
Step-by-step explanation:
Answer:
1/64
Step-by-step explanation:
There are 8 equal sections
P(1) = 1/8 since there is one section with a 1 out of the 8 sections
Then we spin again
P(2) = 1/8 since there is one section with a 2 out of the 8 sections
P(1, then 2) = P(1) * P(2) since they are independent events
= 1/8 * 1/8
= 1/64
