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olchik [2.2K]
3 years ago
13

Which of the following rational functions is graphed below?

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

Option B.

Step-by-step explanation:

We can see that we have an asymptote at x = 2

Remember that in a rational function, the asymptote is at the x-value such that the denominator is equal to zero.

So, the denominator is something like:

(x + a)

we have that the denominator is zero when x = 2

Then:

(2 + a) = 0

solving that for a, we get:

a = -2

Then the denominator of the rational function is:

(x - 2)

For the given options, the only one with this denominator is option B, then the correct option is B.

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What is 8and21/40s as a decimal?
Anestetic [448]
8 21/40 
341/40
852.5/100
8.525

Hope this helps :)
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3 years ago
a food company delivers its fruit in two types of boxes, large a small. A delivery of 7 large boxes and 9 small boxes has a tota
ivann1987 [24]
Let L and S represent the weights of large and small boxes, respectively. The problem statement gives rise to two equations:
.. 7L +9S = 273
.. 5L +3S = 141

You can solve these equations various ways. Using "elimination", we can multiply the second equation by 3 and subtract the first equation.
.. 3(5L +3S) -(7L +9S) = 3(141) -(273)
.. 8L = 150
.. L = 150/8 = 18.75
Then we can substitute into either equation to find S. Let's use the second one.
.. 5*18.75 +3S = 141
.. S = (141 -93.75)/3 = 15.75

A large box weighs 18.75 kg; a small box weighs 15.75 kg.
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3 years ago
I REALLY NEED HELP PLEASEEE!!! I'LL GIVE BRAINLIEST! PLEASE HELP!
marishachu [46]

Answer:

I think the answer would be B.

4 0
3 years ago
Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4
blagie [28]

Answer:

y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60

Step-by-step explanation:

A parabola has the following format:

y = f(x) = ax^{2} + bx + c

If a is positive, it's minium value is:

y_{M} = -\frac{\bigtriangleup}{4a}

In which

\bigtriangleup = b^{2} - 4ac

Factoring:

ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), in which x_{1} and x_{2} are the intercepts.

In this question:

x_{1} = -5, x_{2} = -3

So

a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)

Suppose a = 1, we have:

x^{2} + 8x + 15

\bigtriangleup = 8^{2} - 4*1*15 = 4

The minimum value will be:

y_{M} = -\frac{4}{4} = -1

We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then

a = 4

And the parabola is:

y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60

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3 years ago
Owen has 12 pieces of rope that are 4 yards each. Owen uses 6 pieces of rope that are each 6 feet long.
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Then, Owen only uses one piece of the 4 yard ropes.
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