the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:
24(5/6)x + 24(2) = 24(7/8)
the denominators will cancel out so you have:
4(5x) + 48 = 3(7)
do the multiplication:
20x + 48 = 21
fractions have been eliminated, and if you want to continue to solve:
20x = -27
x = -27/20
Answer:
The correct option is;
f(x) = 3·sin x/8·π + 2
Step-by-step explanation:
The given parameters for the sinusoidal function are;
Amplitude of oscillation = 3
Frequency of oscillation = 1/8·π
Midline of oscillation= 2
The general form of sinusoidal equation is y = A·sin(B(x - C)) + D
Where;
A = The amplitude
B = The frequency
C = The horizontal shift
D = The midline or vertical shift
Substituting the given values into the general form of sinusoidal equation, we have;
f(x) = y = 3·sin(1/8·π(x - 0)) + 2 = 3·sin(x/8·π) + 2
Which gives;
f(x) = 3·sin(x/8·π) + 2.
Answer:

Step-by-step explanation:
<u>Inequalities</u>
To solve the inequality:

We need to perform the required operations on both sides of the inequality to have the variable w isolated.
First, we subtract 9:


Subtracting 6w:

Operating:
-7w>-1
Now we divide by -7 but recall that when dividing by a negative number, we must flip the inequality sign:

Operating:

Solution:

Answer:
x=4x therefore the answer is 4x
Step-by-step explanation:
x^2-8x+16=0