What dose how many mean in math

Answers

Answer 1
Answer: How many means the amount. Hope this helped you

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What are the vertical asymptotes of the function f(x) = the quantity of 2 x plus 8, all over x squared plus 5 x plus 6?

Answers

You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).

Answer:

Step-by-step explanation:

Alright, lets get started.

The given rational function is :

f(x)=(2x+8)/(x^2+5x+6)

For finding the vertical asymptotes of a rational function,  we must set the denominator equal to zero.

So, equaling denominator to zero :

x^2 +5x+6 = 0

factoring

(x+3)(x+2)=0

This will give two values of x

x=-3, x=-2    

So, these two are vertical asymptotes   :   Answer

Hope it will help :)

1. Simplify the expression.(6+6i)-(2+i)

2. Simplify the expression.
(8+i)(2+7i)

3. Find the conjugate of the complex number 8+12i
A. 96
B. 8-`1i
C. -96i
D. 20

4. Use the complex conjugate to find the absolute value of 8+12i
A. 12
B. square root of 208
C. square root of 84
D. 8

Answers

The correct answers are:

(1) 4+5i

(2) 9+58i

(3) 8 - 12i (Option B; The question's options have a typo)

(4) Square root of 208 (Option B).

Explanations:

(1) Given: (6+6i)-(2+i)

We need to simplify the given expression. For that, add real parts with each other, and add imaginary parts of the complex numbers with each other. Remember that the numbers with the symbol "i" are the imaginary parts of the complex number. Therefore,

(6-2) + (6i - i) = 4 + 5i (ans)

(2) Given: (8+i)(2+7i)

Now in this case we will multiply two complex numbers with each other; here in this case, we have to remember that i^2 = -1. Now let us find out the multiplication of two complex numbers:

(8+i)(2+7i)

8(2+7i) + i(2+7i)

16+56i+2i+ 7i^2

16 + 58i + 7(-1)

= 9 + 58i

Hence the correct answer is 9+58i.

(3) Given: 8+12i

In simple terms, in order to find the conjugate of the complex number, we take the real number of the complex number as is, but we change the sign of the imaginary part of the complex number. In the given expression, 8 is the real number; hence, we will take it as is, whereas, +12i is the imaginary part of 8+12i. So to find the conjugate, we will change +12i to -12i.

Therefore, the conjugate of the complex number will become 8 - 12i (Option B; The question's options have a typo).

(4) Given: 8+12i

First, we need to find the complex conjugate of the given complex number. Please see the explanation given in Part (3) above to find the complex conjugate. The complex conjugate of 8+12i is 8-12i

Now, to find the absolute value of the complex conjugate 8-12i, follow these steps:

|8-12i|

We will add the square of the real number (8) with the square of the imaginary number (-12) and take the square-root at the end to find the absolute value:

√((8)^2 + (-12)^2) \n √(64 + (144)) \n √(208)

Hence the correct answer is square root of 208 (Option B).

1. 4 + 5i
2. 9 - 58i
3. tbh idek
4. /sqrt{208}

Why are sports teams considering switching to a variable-pricing strategy for tickets?

Answers

Sports teams are switching to a variable-pricing strategy for tickets so that they can get higher profit on games with record attendance numbers. They feel the need to do so because the marginal cost, such as construction payment player's salaries, did not equal to the marginal revenue. 

If -4 (x-3) 5x=24,then x=12

Answers

-4(x - 3) + 5x = 24
-4x + 12 + 5x = 24
x = 24 - 12
x = 12

Two angles in a triangle add up to 85 degrees what is the size of the third angle

Answers

all of the angles in a triangle should add up to 180 degrees so if you know 2 out of three you just do subtract 180 by the sum of the two angles.
180-85=95

What is the solution to 3x^2 + 4x + 8 = 0?A) x = -4 ± 4√5

B) x = 2 ± 2√5 / 3

C) x = -4 ± 4√5 / 6

D) x = -2 ± 2i√5 / 3

Answers

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