Answer:
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)
Step-by-step explanation:
The given expression is -5·t² + 5·t + 24
To factorize the expression by completing the square method, we equate the expression to zero to get;
-5·t² + 5·t + 24 = 0
WE divide by -5 to get;
t² - t - 24/5 = 0
t² - t = 24/5
t² - t + 1/4 = 24/5 + 1/4
(t - 1/2)² = 5.05
t - 1/2 = ±√5.05
t = 1/2 + √5.05, 1/2 - √5.05
The factorized expression becomes;
(t - 1/2 + √5.05) and (t - 1/2 - √5.05)
Which gives;
(t - 2.747) ×(t - 1.747)
The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).
Answer:
c) multiply the numerators, multiply the denominators, and then simplify.
Step-by-step explanation:
Answer:
A)
Blue: 
Red: 
B)
Blue: 
Red: 
C)
No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.
D)
Blue: 80
Yellow: 50
Red: 40
Orange: 30
Answer:
The general rule is 
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:

In which
is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:

a3 = -12 and a8 = -37
First we find the common difference. So






So

Finding the first term:

Since 



So the general rule is:


The answer is 10 because 5 10 15 20 25 30 35 40 45 50