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madam [21]
3 years ago
14

15 Points!

Mathematics
1 answer:
Xelga [282]3 years ago
8 0
f(x)=\dfrac{x-5}{x^2-1}\\\\\text{the horizontal asymptotes}\\\\x^2-1=0\to x^2=1\to x=\pm\sqrt1\to x=-1\ \wedge\ x=1\\\\\text{the vertical asymptotes}\\\\y=\lim\limits_{x\to\pm\infty}\dfrac{x-5}{x^2-1}=\lim\limits_{x\to\pm\infty}\dfrac{\frac{x}{x^2}+\frac{5}{x^2}}{\frac{x^2}{x^2}-\frac{1}{x^2}}=\dfrac{0+0}{1-0}=0

Answer: <span>B) x = 1, x = -1, y = 0</span>

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Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?
Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be x^2 then the next square number is (x+1)^2.

The difference between these two consecutive numbers is 99.

This implies that:

(x+1)^2-x^2=99

We expand to get:

x^2+2x+1-x^2=99

Simplify:

2x=99-1

2x=98

Divide both sides by 2

x=49

Therefore the value of the larger perfect number is

(49+1)^2=50^2=2500.

6 0
3 years ago
If y varies directly with x, the constant of variation is . The equation representing this relationship is . What is the value o
Julli [10]

Answer:

Y~x

Y = k × v

Y = 22

Step-by-step explanation:

Y~ x

Y = k × X

Since the question isn't complete,we are going to assign figures to complete this very question and move on to other things and you can as well solve questions that are similar to this ones.

Now let's assume that the question says that is 6 when x is 3,what is y when x is 11.

To solve this question above,we need to find the constant of variation which will then enable us to know what y is when x is 11

Y~ x

Y = k × V

When y is 6 and x is 3,k will be

6 = 3k

K= 2

Now when k is 2,x is 11,y Will then be

Y = kx

Y = 2 × 11

Y = 22.

With this procedure,one can find any value of x or y when they have the constant of variation.

If you have a figure assigned to x and y is to be found,the constant of variation will help to get y and vice versa

8 0
3 years ago
Please help thank you.
Mnenie [13.5K]

Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20}  \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

7 0
3 years ago
What is 76 rounded to the nearest hundred
Citrus2011 [14]
100. When rounding to the hundreds place, you must consider the value of the digit in the tens place. If the digit in the tens place is 5 or greater, the digit in the hundreds place increases by 1. If the digit in the tens place is 4 or less the digit in the hundreds place remains the same. In this case, the number in the hundreds place was originally zero.
3 0
3 years ago
Why is my dad so mean to me?
Vladimir79 [104]
To be honest there are lots of different reasons. You might want to try and talk to him to let him now how he is making you feel.
6 0
2 years ago
Read 2 more answers
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