Answer: Could be 0,1,2,3,4,5
Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.
D is the answer
Multiply 15 times 30 and divide by 2.25
Answer:
B. y - 35 = 2(x - 10)
Step-by-step explanation:
The height of the plant, y, after x days could be modeled by the equation
<h3>y-y0=k(x-xo) (1)
,</h3><h3>
where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.</h3><h3>
From equation (1), k could be evaluated as follows:</h3><h3>
k=(y-y0)/(x-x0) </h3><h3>
From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.</h3><h3>
Thus,</h3><h3>
k=(55-35)/(20-10)=2</h3><h3>
Therefore, the model equation becomes</h3><h3>
y-35=2(x-10)</h3><h3>
</h3>
An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below
<h3>
How to interpret trigonometric functions in transformations?</h3>
An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3
This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.
Another way to look at it is by;
Let us use the function f(x) = sin x.
Thus, the new function would be written as;
g(x) = sin (x - π/2), and this gives us;
g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x
This will make a graph by shifting the graph of sin x π/2 units to the right side.
Now, shifting the graph of sin xπ/2 units to the left gives;
h(x) = sin (x + π/2/2)
Read more about Trigonometric Functions at; brainly.com/question/4437914
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Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
