500 + 30g <span>≤ 8000
30g </span><span>≤ 7500
g </span><span>≤ 250</span>
Answer:
D (7, 0.5)
Step-by-step explanation:
The equations must be interpreted to be ...
A graph shows the solution to be (7, 0.5), matching selection D.
___
You can add the two equations together to get ...
(y) +(y) = (-1/2x +4) + (1/2x -3)
2y = 1 . . . . . simplify
y = 1/2 . . . . .divide by 2
It can be convenient to use the second equation to find x.
1/2 = 1/2x - 3
1 = x - 6 . . . . . . multiply by 2
7 = x . . . . . . . . . add 6
The solution is (x, y) = (7, 0.5). . . . . matches selection D.
9514 1404 393
Answer:
16.4
Step-by-step explanation:
The law of cosines is useful here. It tells you ...
b^2 = a^2 + c^2 -2ac·cos(B)
b^2 = 22^2 +10^2 -2·22·10·cos(44°)
b^2 ≈ 267.49
b ≈ √267.49 ≈ 16.35514
b ≈ 16.4
Answer:
Step-by-step explanation:
It is a linear equation and the gradient equation is given as:
y=mx+c
Where m is the gradient and c is the y intercept
-3x+2y=1
2y=1+3x
Dividing all through by 2
y=1/2 + 3x/2
Therefore the gradient of this linear equation is 3/2 and the y intercept is 1/2
Answer:
or 
Step-by-step explanation:
we know that
Applying the law of cosines

In this problem we have



substitute the values


