Answer:
D. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
A. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Answer:
Red
Step-by-step explanation:
To solve this we can use substitution.
We know that y=4-x, so we can substitute "4-x" into anywhere that y appears in the first equation.
4-x=3x-8
Now we can move the variables to one side and the numbers to the other.
We can do that by adding x to both sides.
4=3x-8+x
Now, let's add 8 to both sides.
4+8=3x+x
Combine like terms.
12=4x
x=3
Now, we can plug that back into the equation to find y.
y=3(3)-8
y=8
y=1
So our answer is (3,1)
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