The equation for the function is
Explanation:
The equation for the function that passes through the points and
The equation of the line that passes through the points and is given by
where m is the slope and it can be determined using the formula,
Substituting the values of x and y in the slope formula, we have,
Simplifying, we get,
Thus, the slope is m=1.
Substituting the values in the equation , we have,
Multiplying the terms within the bracket,
Adding on both sides of the equation,
Thus, the equation for the function is
Answer:
C and D
Step-by-step explanation:
Equating the line A and the parabola, we get
-3x + 2 = x² - 3x + 4
0 = x² - 3x + 4 +3x - 2
0 = x² + 2
-2 = x²
which has no real solutions. Then, the line A and the parabola don't intersect each other.
Equating the line B and the parabola, we get
-3x + 3 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 3
0 = x² + 1
-1 = x²
which has no real solutions. Then, the line B and the parabola don't intersect each other.
Equating the line C and the parabola, we get
-3x + 5 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 5
0 = x² - 1
1 = x²
√1 = x
which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.
Equating the line D and the parabola, we get
-3x + 6 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 6
0 = x² - 2
2 = x²
√2 = x
which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.
Assuming x is the number of weeks, the equation would be 490 - 10x = 370. Starting with $490 and subtracting ten multiplied by the number of weeks will get the amount.
To find the constant proportionality you would need to find the cost of one ticket which would be 9 dollars
Answer:
81 times 9
Step-by-step explanation:
9 to the power of two is 81
so nine to the power of three is 81 times 9
I am 100% sure