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trapecia [35]
2 years ago
6

Pls help need asap in 10 mins stressing out ://

Mathematics
1 answer:
eimsori [14]2 years ago
4 0

Answer:  The correct option is

(D) {3, 10, 17, 24, …}.

Reasoning:

 We are given to select the sequence that represents the following function with a domain of natural numbers :

The set of natural numbers is {1, 2, 3, 4, . . .}

to find the sequence, we need to substitute x = 1, 2, 3, 4, . . . in equation (i).

From equation (i), we get

Therefore, the sequence that represents the given function is {3, 10, 17, 24, …}.

Thus, option (D) is CORRECT.

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prohojiy [21]
The sketch of the parabola is attached below

We have the focus (a,b) = (2, -0.5)
The point P(x,y)
The directrix, c at y=-1.5

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; (2, -0.5) and (x,y).
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
\sqrt{ (x-a)^{2}+ (y-b)^{2} }

Step 2
Find the distance between the point P to the directrix c. It is a vertical distance between y and c, expressed as y-c

Step 3
The equation of parabola is then given as 
\sqrt{ (x-a)^{2}+ (y-b)^{2} }=y-c
(x-a)^{2}+ (y-b)^{2}= (y-c)^{2} ⇒ substituting a, b and c
(x-2)^{2}+ (y--0.5)^{2}  = (y--1.5)^{2}
(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}⇒Rearranging and making y the subject gives

y= \frac{ x^{2} }{2} -2x+1

7 0
3 years ago
Can someone help me <br> f(x) = - 7(x - 11)3(x + 13)3(x + 2)(x - 3)5
jekas [21]

Answer:confusing

Step-by-step explanation:

6 0
3 years ago
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