Answer:
2
Step-by-step explanation:
Answer:
what do you get when you mix a dog and a fish
Step-by-step explanation:
a dogified fish
Answer:
f(g(-2)) = 3
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
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 4 - x²
g(x) = 2x + 5
<u>Step 2: Find g(-2)</u>
- Substitute in <em>x</em> [Function g(x)]: g(-2) = 2(-2) + 5
- Multiply: g(-2) = -4 + 5
- Add: g(-2) = 1
<u>Step 3: Find f(g(-2))</u>
- Substitute in <em>x</em> [Function f(x)]: f(g(-2)) = 4 - (1)²
- Evaluate exponents: f(g(-2)) = 4 - 1
- Subtract: f(g(-2)) = 3
Answer: 56ways
Step-by-step explanation:
given data:
total beans = 9
blue beans = 6
red beans = 1
yellow beans = 1
green beans = 1
solution:
This is a permutation problem because there is a condition attached to it which states that the beans most be arranged in a way that atleast each none blue has a blue bean on its side when shared.
= ( r + n - 1 ! ) / r ! ( n - 1 )!
= 3 + 6 - 1 / 3! ( 6-1 )!
= 8! / 3! x 5!
= 40320/ 720
= 56 ways
N₁*$0.10 + n₂*$0.25 = $2.25
n₁ + n₂ = 12
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This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
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Answer:
5 dimes and 7 quarters.
