Answer:
yes
Step-by-step explanation:
Substitute x = 2 and y = 2 into both equations and if both are true then (2, 2) is a solution of the system.
y = x, that is
2 = 2 ← True
x + 2y = 6, that is
2 + 2(2) = 2 + 4 = 6 ← True
Thus (2, 2) is a solution of the system
The names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
<h3>How to name the functions?</h3>
Functions can be named by their parent functions.
This is so because functions derive their properties from their parent functions.
There are several parent functions, some of them are:
- Linear equation
- Exponential equation
- Quadratic equation
- Rational equation
- Logarithmic equation
- Square root equation
- Cubic equation
- Cube root equation
Using the above as a guide, the names of the functions in the attached figure are:
- Cubic function
- Absolute value function
- Square root function.
- Rational function.
- Quadratic function
Read more about parent functions at:
brainly.com/question/17079244
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Answer:
infinite number of solutions
Step-by-step explanation:
Work with the second equation. Subtract 8x from both sides.
- 4y + 8x - 8x = -8x - 12 Collect like terms.
-4y = - 8x - 12 Divide by - 4
-4y/-4 = - 8x/-4 - 12/-4
y = 2x + 3
That is exactly the same line as the first given. There is an infinite number of solutions.
A.) f(x) = x^2 because 2 > 1. So f(2) = 4.
A is correct.
B.) f(x) = x^2 because 5 > 1. So f(5) = 25.
B is incorrect.
C.) f(x) = 2x because -2 < 1. So f(-2) = -4.
C is incorrect.
D.) f(x) = 5 because x = 1.
D is correct.
So the answer is A and D.
