Answer:
f(-1) = 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5(2 - x)
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-1) = 5(2 - -1)
- (Parenthesis) Subtract: f(-1) = 5(3)
- Multiply: f(-1) = 15
Answer:
The answer is x = 1/11
Step-by-step explanation:
hope this helps
10x + 5x – 3 = 2(2x – 1)
10x+5x-3=4x-2
15x-4x=-2+3
11x=1
To find x divide both sides by 11
11x/11=1/11
x= 1/11
At at least one die come up a 3?We can do this two ways:) The straightforward way is as follows. To get at least one 3, would be consistent with the following three mutually exclusive outcomes:the 1st die is a 3 and the 2nd is not: prob = (1/6)x(5/6)=5/36the 1st die is not a 3 and the 2nd is: prob = (5/6)x((1/6)=5/36both the 1st and 2nd come up 3: prob = (1/6)x(1/6)=1/36sum of the above three cases is prob for at least one 3, p = 11/36ii) A faster way is as follows: prob at least one 3 = 1 - (prob no 3's)The probability to get no 3's is (5/6)x(5/6) = 25/36.So the probability to get at least one 3 is, p = 1 - (25/36) = 11/362) What is the probability that a card drawn at random from an ordinary 52 deck of playing cards is a queen or a heart?There are 4 queens and 13 hearts, so the probability to draw a queen is4/52 and the probability to draw a heart is 13/52. But the probability to draw a queen or a heart is NOT the sum 4/52 + 13/52. This is because drawing a queen and drawing a heart are not mutually exclusive outcomes - the queen of hearts can meet both criteria! The number of cards which meet the criteria of being either a queen or a heart is only 16 - the 4 queens and the 12 remaining hearts which are not a queen. So the probability to draw a queen or a heart is 16/52 = 4/13.3) Five coins are tossed. What is the probability that the number of heads exceeds the number of tails?We can divide
Answer:
x = 24
Step-by-step explanation:
x + 
x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
x + x = 36
Now we can calculate the numerators and keep the denominators the same.
x = 36
Find x.
x = 
× 36
x = 24
