The slope of the line is 1
Assuming you want the range of
-4cos(2x)
the range of the cosine function is -1 to 1. When that is scaled by a factor of -4, it becomes 4 to -4.
The range of F(x) is [-4, 4] in interval notation.
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If you want the range of
F(x) = -4cos²(x)
that range will be -4×[0, 1] = [-4, 0].
2 of Caroline's marbles are blue.
Create formulas!
x=number of adult tickets
y=number of student tickets
x+y=644 <em>total sold</em>
56+y=x <em>student was 56 less than adult</em>
Perform substitution
(56+y)+y=644
56+2y=644
2y=588
y=294
Substitute y into the formula we created
x+294=644
x=350
350 adult tickets were sold.