The pick up fee is $2.50.
After each mile, $1.95 is added.
That is, after the first mile, we have;
Isaac total charge = $27.46;
Generally, let the number of miles driven by the taxi be x, then we have;
Solving for the number of miles Isaac travelled, we have;
CORRECT OPTION:
<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
The two angles are vertical angles, which means they are the same.
Set the two equations to equal and solve:
2x +2 = 3x -52
Subtract 2x from each side:
2 = x -52
Add 52 to each side:
x = 54
Answer: y=-3
Step-by-step explanation:
- 3y - 7=5y + 17
-7=8y+17
8y=-24
y=-3
If the quadratic is a perfect square, then there has to be a way to write the quadratic as
, where
is a root of the equation. Expanding it out, we see that
Now let's compare this form to the one that we were given. Since
matches up with
,
has to equal either
or
. So, since
in the original equation matches up with
in the equation we found,
and
or
