The correct option A: y = -4 cos Ф/4, is the cosine function for the graph.
<h3>Define the term cosine function?</h3>
The ratio between the angle's adjacent leg and the hypotenuse when it is regarded as a leg of a right triangle is a trigonometric function for an acute angle.
- One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
- Y=cos(x) has its greatest value when x = 2nπ, wherein n is an integer.
- Y=cos(x) has a lowest value for x= π+2nπ , wherein n is an integer.
For the given graph,
cosine function: y = -4 cos Ф/4.
In which, -4 is the amplitude (maximum displacement from the x axis).
Negative sign shows, the displacement is taken along negative y-axis.
And, Ф/4 is the phase angle.
Thus, the cosine function for the graph is y = -4 cos Ф/4.
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Answer:
the third one/second one
Step-by-step explanation:
The function g(x) is a quadratic function:
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
<h3>What are functions?</h3>
Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.
This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:
1 : linear
2 : quadratic
The function:
g(x) = -2x² - 3(x- 2).
g(x) = -2x² - 3x + 6 , we have a quadratic function.
- Its quadratic term is -2x²
- Its linear term is - 3x
- Its constant is 6
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#13 is 3000 because since each T-shirt is $650 and they buy 4 you multiply and get $2600 and since she received 400 dollar change then you add that value to the total cost and get 3000 that means she paid 3000
#14 is a millennium
1 year is 365 days
1 decade is 10 years
1 century is 100 years
1 millennium is 1000 years
So it has to be 1 millennium since 1000 years is the most out of the others
Answer:
8/5×3/7=
8 × 3
5 × 7
= 24/35
Step-by-step explanation:
24/35
