4. Find the difference quotient for f(x) = 3x2 + 2x - 4
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Answer:
Step-by-step explanation:
The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:
(4x)° = (x + 60)°
Use the equation to solve for the value of x
Subtract x from both sides
Divide both sides by 3
You'll be using point slope form to solve this.
As the name suggests, you'll need the slope as well as a point. To find the slope use the slope formula:
Plug in the points.
The slope of this line is 5.
Point slope form is y-y1 = m(x-x1), so plug in the slope and a point into this equation. I'll use (0,8).
y-(8) = 5(x-(0))
1. Write this out without parentheses.
y-8 = 5(x)
2. Multiply 5 and x.
y-8 = 5x
3. Add 8 to both sides.
y = 5x+8
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Answer is:
y = 5x+8