Answer:
60
Step-by-step explanation:
We have to find least common denominator for these fractions or we just have to find the least common multiple for 15, 6 and 4
In order to find the least common multiple, we have to represent these numbers as factors of prime numbers:
15 = 3 * 5
6 = 2 * 3
4 = 2 * 2
Least common multiples will be common factors (considering that there are no more than of them in other numbers) and the uncommon factors. Then, we can write that:
2 * 2 * 3 * 5 = 60 (there are two 2's, one common 3 and an uncommon 5)
The denominator will be 60 for the least common multiples.
Answer:
The discriminant is -7
Step-by-step explanation:
The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:
Here
b is the co-efficient of x
a is the co-efficient of x^2
and c is the constant
Given equation is:
Here
a = -2
b = 5
c = -4
Putting the values in the formula for discriminant
As the discriminant is negative, the equation has no real solution.
Hence,
The discriminant is -7
Looking at this, the unit of 1 length is equal to 2.5 units of width. To find 6 units of length, you just multiply 6 by 2.5. Getting this gives us 15. So your answer is C.
Find the 10th term in the following arithmetic sequence if the constant being added is -12
Step-by-step explanation:
20 - 12 = 8
8 - 12 = -4
-4 - 12 = -16
So the sequence will be
20; 8; -4; -16
an = 20 - 12(n - 1)
a10 = 20 - 12(10 - 1) = -88
