All categories

3 years ago

Graphing functions f(x)=x^2-6x-27/x+3

1 answer:

5 0

Funny, this looks like a complex graph, until you realize that the numerator can be written like (x+3)(x-9).

So really, this is a straight line f(x) = x-9.

But wait, there's a catch. x≠3, because that would divide by zero. So in your straight line, you have to draw a "hole" at (3,6)

You might be interested in

Find 3 consecutive integers such that the sum of the first and twice the second is 16 more than twice the third

lions [1.4K]

Answer: 18, 19, 20

Step-by-step explanation:

3 consecutive integers = x, y and z

1st number is X

2nd number is Y which is X +1

3rd number is Z which is X +2

Write equation

X + 2Y = 16 + 2Z

Replace Y with X + 1 and Z with X + 2

So,

X + 2(X + 1) = 16 + 2(X + 2)

Distribute

X + 2X + 2 = 16 + 2X + 4

Combine like terms

3X + 2 = 2X + 20

Solve for X

3X + 2 - 2 - 2X = 20 + 2X - 2X - 2

X = 18 so, Y is 19 and Z is 20

5 0

3 years ago

Solve (−7) ⋅ (−4). Please hurry :D -28 -11 28 11

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

$- (7) \times ( - 4) \\ - ( - 28) \\ - \times - = + \\ = 28$

5 0

3 years ago

Given the figure below, find the values of x and z.

iragen [17]

Answer:

x=6 and z=107

Step-by-step explanation:

From the figure or diagram we can say that

z+15x-17=180 ---(1)

z+11x+7=180 ---(2)

Subtracting (1) and (2)

z+15x-17-(z+11x+7)=180-180

4x-24=0

4x=24

x=6

Substitute x=6 in (2)

z+11(6)+7=180

z+66+7=180

z=180-73

z=107

4 0

2 years ago

Which of the following expressions is written in simplest form

nadya68 [22]

Answer: I x^2 y^3 z

Step-by-step explanation:

This is the one most simplified. I’ll tell you why the others are incorrect.

F) 3^5 x^2 can be simplified. 3^5= 243. The simplified answer would be 243 x^2

G) (5y)^3= 125y^3

H) a^0 b (^0= 1 always) -> ab

Hope this helps!

3 0

3 years ago

Jen says that the solutions of the inequality -2(3 – x) > 2x – 6 are all real numbers. Do you agree with your friend? Explain

Maslowich

Answer:

I disagree

'No it won;t

Step-by-step explanation:

Given the inequality functions;

-2(3 – x) > 2x – 6

Open the parenthesis

-2(3) -2(-x) > 2x - 6

-6 + 2x > 2x - 6

Collect like terms

2x-2x > -6 + 6

0x > 0

x > 0/0

The value of x does not exist on any real number. I disagree with my friend since the value of x is an indeterminate function. If the inequality were ≥, it won't change anything as the value of x won't still exist on any real number

5 0

3 years ago