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EastWind [94]
3 years ago
8

A teacher writes the function f(x)=3x^2-18x+27 on the board. How many times does the graph of the teacher's function intersect t

he x-axis
Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

Once. at (3,0)

Step-by-step explanation:

It is handy to have a graphing calculator for this kind of question.

Otherwise work it out.

All the terms are multiples of 3, so simplify.3(x^{2} -6x + 9)

then factor (x -3)(x-3)

Set each equal to 0 and solve for x.

x - 3 = 0    x = 3

OH ! they are identical! So there is only One value for x that will produce an output of 0.

So it intersects (touches) only once.

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melamori03 [73]
Could you elaborate on the question?
4 0
3 years ago
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g Suppose you are rasterizing a triangle with vertices (1, 1), (5, 1), and (2, 9), and the intensity values (e.g., redness) of t
Ivahew [28]

Answer:

6.333

Step-by-step explanation:

Our triangle vertices are

(1,1)(5,1)(2,9)

We are to perform interpolation at point(3,5)

x and y values are interpolated

On vertices (5,1)(2,9)

x = 3

x1 = 5

X2 = 2

Y1 = 1

Y2 = 9

Formula for interpolation

Y = [y1+(x-x1)(y2-y1)]/x2-x

Y = 1+(3-5)(9-1)/2-5

Y = 1+[-2*8/-3]

Y = 1+16/3

From here we use use LCM to get:

19/3 = 6.333

6 0
2 years ago
If (9x − 4)(9x + 4) = ax2 − b, what is the value of a?<br><br> The value of a is _____________.
AlladinOne [14]
Your answer should be 81 for a. I got this result by multiplying 9 by 9.
3 0
3 years ago
The hydra was a one-headed monster but when iris cut off ,2 heads grow back in its place. If a hero tried to conquer it by cutti
Cerrena [4.2K]

Answer:

3 days: 8 heads.

10 days: 1024 heads.

Step-by-step explanation:

If each time the hero cuts off all the heads, then the amount doubles each time. This can also be represented using powers of 2, with 2^n, where n is the number of days.

2^1 = 2, so two heads the first time he cuts it.

2^2 = 4, so four heads the second time he cuts it.

With three, 2^3 is 8 so there are 8 heads.

With ten, 2^10 is 1024 so there are 1024 heads.

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3 years ago
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now, he had 3200, he took 1500 for deposit, so, 3200 - 1500, he had left in his pocket 1700.

so after 5 years, he'll have 1700 + 1800.
8 0
3 years ago
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