Answer:
x = 10
Step-by-step explanation:
5x + 6 = x + 46
4x = 40
x = 10
Answer:
41 seconds
Step-by-step explanation:
This set of points is on the graph of a function.
{(−2, −8), (0, 9), (2, 8), (3, 27)}
Which points are on the graph of the inverse?
{(-8,-2),(9,0),(8,2),(27,3)}
Answer:
3 students
Step-by-step explanation:
Twice as many students go to the park than to the theater :
Let number who go the theater = t
Number who goes to park = 2t
5 more students go to the theater than to the museum
Number who goes to museum = t - 5
If number of students who goes to park = 16
How many students goes to the museum :
2t = 16
t = 16/2
t = 8
Number who goes to museum = t - 5
t - 5 = 8 - 5 = 3
Hence, number of students who goes to the museum = 3
(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
