What is the frequency of the function f(x)? f (x) = 3 cos (tx) – 2 express the answer in fraction form.

Frequency =

Step-by-step explanation:

We are given the following function and we are to find its frequency:

We know that the standard form of cosine function is

where is the amplitude, while is the mid line.

Frequency is given by:

where is frequency and is the period.

Finding period by comparing the given function:

Substituting B to get:

So, Period = 2.

Since frequency is , therefore

Frequency =

the balance is found at the link

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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