Answer:
x = -8 or x = 3
Step-by-step explanation:
To factor ax² + bx + c, use AC method.
a times c is 1 × -24 = -24.
Factors of ac (-24) that add up to b (5) are 8 and -3.
Divide by a and reduce: 8/1 and -3/1.
Therefore, the factors are x + 8 and x − 3.
x² + 5x − 24 = 0
(x + 8) (x − 3) = 0
x = -8 or 3
Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
Answer:
1,3,5
Step-by-step explanation:
81 is a perfect square so it can be written as an integer
11.8 is rational because it can be written as a fraction (107/9)
sqrt(6) isn't a perfect square so it is irrational
3/7 is a fraction so it is rational
8.57 is a terminating decimal so it is rational
Answer:
The 12 children selected in Mrs. Smith's kindergarten class.
Step-by-step explanation:
A sample is a representative part of a population on which a research is carried out.
The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore a sample of the class.