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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<em>Simplify 11(12+u)</em>
<em> </em>
To simplify this expression, Multiply 11 (the number outside the parentheses) by every term
inside the parentheses, as follows:-
Simplifying,
Please note that we cannot simplify this any further, because 
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Answer:
give more detials
Step-by-step explanation:
Answer: The answer is x=6, the final set of (x,y) values are (6,-4)
Step-by-step explanation:
You must move around the equation to get it to y= mx+b to find the (x,y) values
Since you know y=-4 since it is stated above, plug in -4 for all y values and solve.
1. 6x+ 7(-4) =4x +4(-4)
2. 6x -28= 4x -16
3. 2x-28=-16
4. 2x=12
5. x=6
Answer:
y = -(2/3)m - 2
Step-by-step explanation:
recall that the general equation of a straight line in slope-intercept form is
y = mx + b
where, m is the slope and b is the y - intercept
here we are given that the y - intercept is -2, hence the equation becomes:
y = mx + (-2)
or
y = mx -2
we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)
0 = m(-3) -2
0 = -3m - 2 (add 3m to both sides)
3m = -2 (divide both sides by 3)
m = -(2/3)
hence our equation is now
y = -(2/3)m - 2
