A machine produces 75 widgets an hour. How many widgets does it produce in 6 minutes.
1 answer:
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Answer:
A power function is a function that can be represented in the form
where k and p are real numbers, and k is known as the coefficient.
Example:
f(x)=1 constant function.
f(x)=x identity function
f(x)=x^2 quadratic function.
1)
we use the method of differences, g(x+1)-g(x). Keep taking differences until they are all constant.
for example:
if we have a set of values as:
x g(x)
−2 −8
−1 −1
0 0
1 1
2 8
Now when we find the difference as:
<u>x</u> <u>g(x)</u> <u> D1 </u> <u> D2 </u> <u> D3</u>
-2 -8
-1 -1 1-(-8)=7
0 0 0-(-1)=1 1-7=-6
1 1 1-0 = 1 1-1=0 0-(-6)=6
2 8 8-1 = 7 7-1=6 6-0 = 6
As D3 is constant hence, the degree of the power function is 3.
2)
When we get a constant difference in the table of the difference method we will successfully get our degree.
Looks more like Trig than Algebra II
They want us to apply the sum angle formula to
5π/6 is 150°; I find it easier to think in degrees.
When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.
The sine sum angle formula is
We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2
Third choice