Answer:
580
Step-by-step explanation:
Let's translate this word for word.
87 is 15% of what number
87 = 15% times x
87=.15 times x
Divide both sides by .15
Cancel out the common factor of .15 on the right; that is .15/.15=1.
580 is the number
Hello!
We'll start by simplifying the required formula. (f – g)(x) can be rewritten as the following:
f(x) – g(x)
Now insert any known values into the simplified formula above:
(-5x – 4) – (-3x – 2)
Eliminate the parentheses by simplifying:
-5x – 4 + 3x + 2
Combine like terms:
-2x – 2
We have now proven that (f – g)(x) is equal to (-2x – 2).
The correct answer is C.
I hope this helps!
There are 4 cards facing up and the rest facing down
Answer:
They are both 60 degress
Step-by-step explanation:
Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
