Answer:
the domain of the function f(x) is 
the range of the function f(x) is 
Step-by-step explanation:
Consider the parent function 
The domain og this function is
the range of this function is 
The function
is translated function
7 units to the right and 9 units up, so
the domain of the function f(x) is 
the range of the function f(x) is 
Answer: The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let x represent the number of 3-point questions.
Let y represent the number of 5-point questions.
The maths test consists of 24 questions. This means that
x + y = 24
Each question is worth either 3 points or 5 and the test is worth 100 points. This means that
3x + 5y = 100 - - - - - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
- 3y + 5y = 100 - 72
2y = 28
y = 28/2 = 14
Substituting y = 14 into x = 24 - y , it becomes
x = 24 - 14 = 10
Answer:
⟨-5, -1⟩
Step-by-step explanation:
Vector:
A vector is given by its endpoint subtracted by its initial point.
Vector u has initial point at (3, 9) and terminal point at (–7, 5)
Then

Vector v has initial point at (1, –4) and terminal point at (6, –1).
Then

What is u + v in component form?

⟨-5, -1⟩ is the answer.
Answer:
$0.30
Step-by-step explanation:
If you already spent $5 then you have $6 remaining so you will just divide 6 and 20 and you will get 0.3 so $0.30
Answer:
x = 12
Step-by-step explanation:
IMPORTANT: Both answers should add up to 180 if they dont you did it wrong!
(10x - 20) + (6x + 8 ) = 180 plug in 12 for both of them
(10 * 12 - 20) + 6 * 12 + 8) = 120
(120 - 20) + (72+ 8 ) = 180
(100) + (80) = 180
so x = 12
hope this helps please make brainliest