Here is another one 5. 1 4/5 × 15

Which of the following rational functions is graphed below?

yawa3891 [41]

Answer:

The answer is option A.

Step-by-step explanation:

In order to find the equation of the function, when the graph is already known to us in the question, we can use the various coordinates points through which the curve is passing from. The various Asymptotes of the graph can be used to find the expression in the denominator of the function.

So here the graph is of the form:

$y=1/((x-a)(x-b))$

Now when the value of x=-6 and x=6, we have the vertical asymptote, so at x=-6 and x=6 is where the vertical asymptotes lies.

Thus, we have a=6, b=-6.

And hence, the function whose graph is given will be

$y=\frac{1}{\left(x-6\right)\left(x+6\right)}$

which is given by option A.

8 0

3 years ago

HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Debora [2.8K]

Answer:

6

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

Note the following:

$\frac{1}{3}=0.33333333333333333333333333333333333333333333333...$

or more simply $\frac{1}{3}=0.\bar{3}$

This means that $2\frac{1}{3}=2.\bar{3}$

Going back to the original expression, $3\frac{2}{3}+2.\bar{3}$ simplifies to $3\frac{2}{3}+2\frac{1}{3}$

Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because

$3\frac{2}{3}+2\frac{1}{3}$ means the same thing as

$(3+\frac{2}{3})+(2+\frac{1}{3})$

Changing the order, we can write it as

$3+2+\frac{2}{3}+\frac{1}{3}$

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.

$\frac{2}{3}+\frac{1}{3}$

$\frac{1+2}{3}$

$\frac{3}{3}$

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

*(except if the number we're talking about is zero)

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...

$3+2+\frac{2}{3}+\frac{1}{3}$

$5+\frac{3}{3}$

$5+1$

$6$

7 0

2 years ago

How do you find the surface area for this???

Katarina [22]

The surface area of any object is the sum of the areas of all the faces. In this case, we have a rectangular prism with dimensions 8x4x3 and a trianglar prism with a 8x4 rectangular base and height of 6.

Let's start with the rectangular prism. We have the bottom which is 8x4, two sides that are 3x4, and two sides that are 8x3.

8*4 + 2*3*4 + 2*8*3 = 104 in^2

Now that's find the surface area of the trianglar prism. We have the rectangular side on top which is 10x4, the rectangular side on the right which is 6x4, and two triangles that are 8 long and 6 high.

10*4 + 6*4 + 2*0.5*8*6 = 112 in^2

The total surface area is 104 + 112 = 216 in^2

8 0

3 years ago

What is the inverse of division

kolbaska11 [484]

The inverse operation of division is multiplication.

4 0

4 years ago

PLS HELP FROM 4 THROUGH 9 I BEG U PLEASEEEE

jasenka [17]

Answer:

4. 33 = 33

5. 19 > 10

6. 1 = 1

7. 0.95 > 0.9

8. 39 > 38

9. 14 > 2

10. x = 4

11. m = 44

12. p = 3

13. $z=\frac{15}{23}$

8 0

3 years ago

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