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2 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

Gnoma [55]2 years ago

6 0

Answer:

Step-by-step explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

This question has already been posted, so all credit goes to jimthompson5910.

brainly.com/question/20689400

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lara has a tin of peanuts cashews and pecans she will pick a second nut without looking. how many outcomes are there for her two

KiRa [710]

Possible procedures:

1). peanut, peanut
2). peanut, cashew
3). peanut, pecan
4). cashew, peanut
5). cashew, cashew
6). cashew, pecan
7). pecan, peanut
8). pecan, cashew
9). pecan, pecan.

Nine (9) possible procedures.
But ...
(2) and (4) produce the same final result.
(3) and (7) produce the same final result.
(6) and (8) produce the same final result.

So there are only six (6) possible different outcomes.

6 0

3 years ago

Read 2 more answers

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle).

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago

Determine whether the fractions 3 4 and 4 5 are equivalent. Question content area bottom Part 1 Select the correct choice below

VMariaS [17]

Answer: Choice A

The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is  15  , which is not equal to the product of the numerator of the second fraction and the denominator of the first fraction  16 

===================================================

Explanation:

We have the template $\frac{P}{Q} = \frac{R}{S}$ which cross multiplies to $PS = QR$

So if $\frac{3}{4} = \frac{4}{5}$ was true, then $3*5 = 4*4$ must be true as well, and vice versa.

The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.

In short, $3*5 = 4*4$ turns into $15 = 16$ which is a false statement. So the original claim that $\frac{3}{4} = \frac{4}{5}$ is also false.

5 0

2 years ago

SOMEONE SOSSS PLSSSS

Leya [2.2K]

Answer:

$5.60 sales tax
$75.60 total cost

Step-by-step explanation:

You have correctly found the sales tax to be ...

$70.00 × 0.08 = $5.60 . . . sales tax

The total cost of the item is the selling price with the tax added:

$70.00 +5.60 = $75.60 . . . total cost

7 0

2 years ago

Integral of ln times cube root x dx

zvonat [6]

If u = ln(x^(1/3))
then by the chain rule
du = [1/x^(1/3)] * (1/3)x^(-2/3) dx = (1/3)(1/x) dx.
You could get there faster by noting that
ln(x^(1/3)) = (1/3) ln(x), so du = (1/3) dx/x

3 0

3 years ago