Combine like terms on the left side.
-3y + 3y + 4 = 4
-3y and 3y add to 0, so you get
4 = 4
4 = 4 is a true statement, so there is an infinite number of solutions. Every real number is a solution of this equation.
Answer: Infinitely many
Answer:
5/8
Step-by-step explanation:
So, if we add 7 + 12, then it seems that 19 of the 24 students play one of the two sports. But there are 4 students that play both, so we must account for that.
To get the actual number of students that play sports, we must subtract 4 from 19.
19 - 4 = 15
So now we know that 15 out of the 24 students play sports.
We can divide 15 and 24 by 3 to find the simplified fraction.
15 / 3 = 5 24 / 3 = 8
So 5 out of every 8 students plays one of these sports, which means that the probability of picking one of these students is 5/8!
9514 1404 393
Answer:
D. 5
Step-by-step explanation:
The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...
0 ≤ π/2 +nπ ≤ 16
Dividing by π gives ...
0 ≤ 1/2 +n ≤ 16/π
Subtracting 1/2, we have ...
-1/2 ≤ n ≤ 4.59...
The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...
5 discontinuities in the interval
Answer:
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral are supplementary, so angle C measures 180-105=75 degrees.