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3 years ago

The graph below shows the function f(x)=x-3/x^2-2x-3 which statement is true

Mathematics

2 answers:

marishachu [46]3 years ago

7 0

Answer:

Its A. I just passed the final exam with 5 minutes left of the SESSION.

Step-by-step explanation:

Ugo [173]3 years ago

4 0

Answer:

The correct option is A.

Step-by-step explanation:

Domain:

The expression in the denominator is x^2-2x-3

x² - 2x-3 ≠0

-3 = +1 -4

(x²-2x+1)-4 ≠0

(x²-2x+1)=(x-1)²

(x-1)² - (2)² ≠0

∴a²-b² =(a-b)(a+b)

(x-1-2)(x-1+2) ≠0

(x-3)(x+1) ≠0

x≠3 for all x≠ -1

So there is a hole at x=3 and an asymptote at x= -1, so Option B is wrong

Asymptote:

x-3/x^2-2x-3

We know that denominator is equal to (x-3)(x+1)

x-3/(x-3)(x+1)

x-3 will be cancelled out by x-3

1/x+1

We have asymptote at x=-1 and hole at x=3, therefore the correct option is A....

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Question b and c thank you.

Alenkasestr [34]

Answer:

1/(h+1) +2 = k

(k-2) = 1/ (h +1)

(k-2) x (h+1) = 1

h+1 = 1/(k-2)

h= 1/(k-2) -1

$\frac{px}{q}=p+q\\ px = pq + q^{2} \\px - pq= q^{2} \\p(x-q) = q^{2} \\p=\frac{q^{2}}{x-q} \\$

Step-by-step explanation:

7 0

2 years ago

Hey has 15 teaspoons of chocolate chips. She uses 1 1/2 teaspoons for each muffin.The total number of teaspoons of chocolate chi

kaheart [24]

Answer:

The graph is attached.

- The meaning of the x-intercept is: The number of muffins she made by using all of teaspoons of chocolate chips

- The meaning of the y-intercept: The number of teaspoons of chocolate chips she had before she made any muffin.

Step-by-step explanation:

Given the equation of the line:

$y=-\frac{3}{2}x+15$

We need to find the x-intercept and the y-intercept.

To find the x-intercept, we must substitute $y=0$ into the equation and solve for "x":

$0=-\frac{3}{2}x+15\\\\-15=-\frac{3}{2}x\\\\(-15)(-\frac{2}{3})=x\\\\x=10$

To find the x-intercept, we can substitute $x=0$ into the equation and evaluate:

$y=-\frac{3}{2}(0)+15\\\\y=15$

Now we know that the line passes through these points:

$(10,0)\\\\(0,15)$

Then we can graph the equation.

The graph is attached.

Then, analizing the graph, we can conclude that:

- The meaning of the x-intercept is: The number of muffins she made by using all the teaspoons of chocolate chips.

- The meaning of the y-intercept: The number of teaspoons of chocolate chips she had before she made any muffin.

6 0

3 years ago

Solve the x to the nearest tenth

Nezavi [6.7K]

Answer:

x=11.2

Step-by-step explanation:

So, to solve for x you have to use pythag Theorem. X is the hypotenuse

If you separate this shape into two parts, splitting the slant portion and the rectangle part. You will have a right triangle, and then you would find all the legs of the triangle.

The shorter leg, which is on the left side. Since the left side including the slanted part is 13 and we had to split the shape the shorter leg would equal 5

13-8=5.

And since the longer leg has the same length as the rectangle, which is 10. You would take both these numbers.

then, Square them and add them. So, 5x5=25

and 10x10=100

100+25=125 afterwards you find the square root. $\sqrt{125}=11.18$