Answer: Third option
Step-by-step explanation:
You have the function:

Then, if the value of x increases by 1, you obtain:
-Rewrite the function:
-Substitute values for x into the function and observe what happen to y. Then:
x=1
x=2
x=3
The value of y is doubled.
Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
B. -2 1/2 +3 1/4 = 3/4
Step-by-step explanation:
the starting point is -2 1/2, they added 3 1/4, and the ending point is 3/4.
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
X + 2 + x + 2 im guessing,,