Answer:
Step-by-step explanation:
We need a system of equations here. The first equation is that 3L boxes + 5s boxes (L = large and s = small) = 88 kg so
3L + 5s = 88
12L + 2s = 235 according to the other information given.
Solve the first equation for either L or s. I'll solve for L, just because:
3L = 88 - 5s and
L =
and sub that into the second equation for L:
and if you distribute the 12 into the parenthesis you'll simplify it down a bit to
352 - 20s + 2s = 235 and combine like terms:
-18s= -117 so
s = 6.5 kg and plug that in to solve for L:
L =
and
L = 18.5 kg
Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Explanation:
Given the function f(x) and g(x) = f(x)-4
This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.
The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.
Hence the correct option is The graph of g(x) is the graph of f(x) translated 4 units down.
Answer:
132°
Step-by-step explanation:
Angle JKH and IHK are alternate interior angles, and thus congruent.
Since JKH is 132 degrees, so is IHK
Given that

attains a maximum at

, it follows that

at that same point. So integrating once gives



and so the first derivative is

.
Integrating again, you get


You know that this curve passes through the point (2, -1), which means when

, you have

:


and so
The correct statements are as follows:
A point's location on the coordinate plane is indicated by an ordered pair, (x,y).
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