Answer: Hello mate!
A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.
An inverse variation has the form y = k/x where also k is a real number.
them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:
Score(s,b) = k*s/b
we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.
score(6,7) = 72 =k*6/7 = k*
then k = 72*(7/6) = 61.7
now if s = 4 and b = 6, the score that he should expect is:
score( 4, 6) = 61.7*(4/6) = 41
Answer:
144 un²
Step-by-step explanation:
Front Parallelogram = 5 x 11 = 55
Two triangles = 3 x 4 = 12
Back Parallelogram = 3 x 11 = 33
Bottom rectangle = 4 x 11 = 44
Total =
55 + 12 + 33 + 44 = 144
units = un²
144 un²
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-Chetan K
Answer:
an apparent solution that must be rejected because it does not satisfy the original equation.
Step-by-step explanation:
Answer:
After 2009 the quality of the forests in this country improving.
Step-by-step explanation:
Consider the provided function.
Substitute f'(t)=0.
It is given that (0 ≤ t ≤ 10)
The test interval are (0,5) and (5,10)
For (0 < t < 5) the value of
For (5 < t < 10) the value of
Hence, the function is increasing from (5,10).
t = 0 corresponds to 2004.
Therefore, after 2009 the quality of the forests in this country improving.
Based on the docx you showed me, the equation for the parabola is
and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).
If you use these two points to create a line we get the equation:
(I just used point slope form)
This can be simplified to:
Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:
and the x-intercept:
.
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0