The last equation h(x) = 2x+4/x+1.
<h3>What is a graph?</h3>
The pictorial representation of quantities and how the increase or decrease in one affects the other.
Analysis:
The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.
gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.
The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1
differentiating the equation by quotient rule,
u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1
dy/dx =
= 
When x = -2, dy/dx = -2
In conclusion, 2x+4/x+1 is the equation for the curve above.
Learn more about parabolic curves: brainly.com/question/12896871
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Answer:
Step-by-step explanation:
Let's look at some other ratios that equal 8:6 We could increase them or decrease them. For instance if we cut one in half we cut the other one in half, so 8:6 would be the same ratio as 4:3. With the same thinking if we double one we double the other so 8:6 s the same ratio as 16:12. Now, we want to go from 8 to 28. What do we multiply 8 by to get to it? Or, it might be easier to use 4:3 and see what you multiply 4 by. Then you multiply 3 by that same number to get the other number.
Let me know if that doesn't make sense.
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
Probably the last one
Use the equation for the area of a triangle 1/2(bxh)
Then multiply that number by 2 to get the area of the complete shape.
Answer:
$35
Step-by-step explanation:
7 customers - 2 who didn't tip = 5 who did tip
$7 from those who did tip * 5 ppl who tipped = $35 earned