$1200 / 22.5% = 1200 / 0.225= 5333.33
Proof: How much is 22.5% of $5333.33? --> 5333.33 x 0.225 = 1200
The dollar value of the item is $5333.33.
33 = p - 6.71
Add 6.71 on both sides
33 + 6.71 = p - 6.71 + 6.71
p = 33 + 6.71
p = 39.71
Your final answer is a. 39.71 and c. 39.71.
The equation of the tangent line will be y = -3x + 8.
<h3>What is a linear equation?</h3>
A straight line on the coordinate plane is represented by a linear equation.
A linear equation always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given curve
f(x) = x² - 7x + 12
The slope of the tangent equation = the first derivative of a function at that point (2,2).
So,
f'(x) = m = 2x - 7
At (2,2) ⇒ m = -3
Now let's say the equation of tangent
y = mx + c
2 = (-3)2 + c
c = 8
So,
Equation of tangent line on the curve f(x) = x² - 7x + 12 will be y = -3x + 8.
For more about the linear equation,
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Answer:
Step-by-step explanation:
<u>Standard equation of parabola is:</u>
The parabola is opening upward if a > 0 and opening downward if a < 0
The given parabola has a = 3 > 0, therefore it is opening upward