To answer this question you will convert the mixed number into an improper fraction. To do this you have to understand that The two wholes in the mix number each equal 3/3. This would give you 6/3 for the two wholes. Add the 6/3 to the 2/3 that are there in the fraction, and you will have 8/3. the quotient(answer to a division problem) is 8/3 as a fraction.
With respect to the <em>parent</em> function y = cos x, we have these function according to the order of the graphs:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
<h3>How to find the functions corresponding to each graph based on the period of a function</h3>
Mathematically speaking, cosines are <em>periodic</em> functions and period (T) is the distance in the <em>horizontal</em> axis such that f(t + T) = f(t). The period of the <em>parent</em> <em>cosine</em> function is 2π. Period in <em>daughter</em> functions may vary by means of the following form:
y = cos Ax (1)
Where:
- x - Independent variable
- y - Dependent variable
- A - Period width
Please notice that <em>daughter</em> functions report periods <em>longer</em> than in the <em>parent</em> function for 0 < A < 1 and a <em>shorter</em> one for A > 1. In consequence, these functions appear in the following order:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
To learn more on periodic functions: brainly.com/question/26369761
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Boys : Girls = 3 : 5
3 + 5 = 8 parts
<u>Find 1 part:</u>
8 parts = 40 students
1 part = 40 ÷ 8 = 5 students
<u>Find number of boys and girls:</u>
3 parts = 3 x 5 = 15 girls
5 parts = 5 x 5 = 25 boys
Original Number of students = 15 : 25
<u>Find new ratio:</u>
New Ratio = 15 + 3 : 25 - 1 = 18 : 24 = 3 : 4
Answer: 3 : 4
Answer:
x^2 -10x -96 =0
Step-by-step explanation:
Subtract the zeros from x in factors
(x - -6) (x-16)
(x+6) (x-16)
Set these equal to zero since they are zeros
(x+6) (x-16) =0
FOIL
x^2 -16x+6x -96 =0
x^2 -10x -96 =0
Answer:
2x - 4 < y < -3x + 3
Hope this helps!
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