Can I get help and no links pls
2 answers:
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Answer:
0.47x + 7.72
Step-by-step explanation:
We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)
The general equation of the line in slope intercept form is
y = mx + c
where m is the slope and c is the y-intercept.
Calculating the slope:
Using the value of m in above equation we get:
y = 0.47x + c
Calculating the y-intercept:
Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:
17.5 = 0.47(21) + c
c = 17.5 - 0.47(21)
c = 7.63
Therefore, the equation is:
y = 0.47x + 7.63
Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.
So from the given options, the correct answers is:
y = 0.47x + 7.72
Answer:
h=6
Step-by-step explanation:
since is an equation for a line which intersects with the curve
. The point of intersection, let's say
, should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,
therefore, the latter equation can be rewritten in a quadratic equation form as the following,
= 0
if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.
where and
, as a result, the following equations can be deduced,
therefore, dividing both sides by 12