Answer:
Yes
Step-by-step explanation:
using distributive properties,
(3x+1)(4x-5) = 3x(4x-5) + 1(4x-5)
=> 12x^2 - 15x +4x - 5
=> 12x^2 - 11x - 5
Answer:
Step-by-step explanation:
Even though you didn't provide options from which to choose, you don't need them to figure out the system. We need an equation that involves the NUMBER of people and then we need an equation that involves the MONEY earned. Two different things here.
As for the number of people, we know that the number of adult tickets + the number of children = 12 people, so
x + y = 12.
That's the first equation. Now for the money:
21.50x + 14.75y = 204.00
That's your system.
The anwser would be -13
Step-by-step explanation:
PARENTHESIS
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
Answer:
Function is decreasing on (-8,infinity)
Step-by-step explanation:
The given function is 
The first derivative is given by
For the function to be decreasing, we have
Divide both sides by -2. Since, we are dividing by a negative number hence, the inequality sign will change.
Subtract 8 to both sides
Therefore, the function is decreasing on (-8,infinity)
First option is correct.
Answer:
- B. The probability that the student received a grade better than C is 0.45
Step-by-step explanation:
<u>Total number of students:</u>
- 15 + 30 + 35 + 16 + 4 = 100
<h3>Statements</h3>
A.
- p(<D) = 4/100 = 0.04
- 0.04 ≠ 0.2
- Incorrect
B.
- p(>C) = (30 + 15)/100 = 45/100 = 0.45
- 0.45 = 0.45
- Correct
C.
- p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
- 0.55 ≠ 0.45
- Incorrect
D.
- p(B or C) = (30 + 35)/100 = 65/100 = 0.65
- 0.65 ≠ 0.35
- Incorrect
