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Andreas93 [3]
3 years ago
12

Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

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P=2L +2W;P=32,W=7<br><br> 25<br> 16<br> 12.5<br> 9
Marianna [84]

Answer:

L = 9

Step-by-step explanation:

Assuming you are trying to find L

P = 2L + 2W

P = 32

32 = 2L + 2W

W = 7

32 = 2L + (2 × 7)

32 = 2L + 14

2L = 32 - 14

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5 0
3 years ago
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Drupady [299]

Answer:

-9m - 4 + 2m = -9 - 7m + 5

-7m - 4 = -7m - 4

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This is an identity solution because the same number equals the same number. That means there's an infinite set of solutions.

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3 years ago
18 tens 20 ones = ______hundreds
Elis [28]

Answer:

200

Step-by-step explanation:

18 × 10 = 180

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3 years ago
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Harrizon [31]
<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

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8 0
3 years ago
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