Please help me asap!!!!!!!!

(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

Answer:

yes

Step-by-step explanation:

Note that [tex]121=11^2[/tex].

The side length of the square with an area of [tex]121=11^2[/tex] will be [tex]\sqrt{11^2}[/tex].

Recall that [tex]\sqrt{a^2}=a[/tex], so the side length is [tex]\sqrt{11^2}=11[/tex]. [tex]11[/tex] is clearly rational because it's an integer, so the answer is [tex]\boxed{yes}[/tex], it is rational.

Answer:

15

Step-by-step explanation:

The pattern is times 3.

21 ÷ 7 = 3

27 ÷ 9 = 3

To solve this, do 5 x 3.

Therefore, 15 would be your answer.

-kiniwih426

Answer:

3 pounds

                                                    1p+1p+1p=3p

Step-by-step explanation: 4p +2j +2j +2j =10pounds which is more than 8p

Answer:

5+(2/x)^1/2 This is the correct answer!!

Step-by-step explanation:

Answer:

In order to graph this follow these steps

Put an OPEN dot on the number -9 and then draw or color a line to the right of the line.

Answer:

The answer is 9 8/9

Step-by-step explanation:

The rule of fractional exponents states that ab/c is evaluated as follows:

ab/c = (c√a)b

Answer:

It's 1/2, you go 1 step to the right and two steps up.

b.

0.22(100)=22.0

we have to move the decimal point twice to the right to get a percent!

Answer:

Step-by-step explanation:

0.022 i think

Answer:

Step-by-step explanation:

y

Answer:

a) 7z³+2z²-2z+1

b)2x²+3x-8

Step-by-step explanation:

a) (7z³+4z-1)+(2z²-6z+2)

   7z³+2z²-2z+1

b) (5x²-2x-1)-(3x²-5x+7)

   5x²-2x-1-3x²+5x-7

   2x²+3x-8

For the first one Answer:7z^3 −2z+1+2z^2

Step-by-step explanation:

(7z ^3

+ 4z −1)+(2z^2

− 6z +2)

Combine 4z and −6z to get −2z.

7z3  − 2z −1 + 2z2  +2

Add −1 and 2 to get 1.

7z3  − 2z + 1 + 2z2

Answer:

= 86.7083333333

Welcome

Answer:

Step-by-step explanation:

Find the perimeter of an isosceles triangle whose equal sides have a size of 10 m each and the angle between them equal to 30°. We need to know all sides in order to find the perimeter of this triangle. Let x be the base of this isosceles triangle.

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A converse to a statement is switching the IF part with the THEN part.

Since the statement says  IF point B bisects the line, THEN B is the midpoint.

The converse would then say

IF B is the midpoint, THEN point B bisects the line.

Literally, binomial probability represents an experiment which has two possible outcomes.

The values of the parameters​ n, p, and x are 25, 50% and 16 respectively

The representations in binomial probability are:

From the complete question, we have:

The above highlights mean that:

[tex]\mathbf{n = 25}[/tex]

[tex]\mathbf{x = 16}[/tex]

[tex]\mathbf{p =50\%}[/tex]

Read more about binomial probabilities at:

https://brainly.com/question/19578146

i^2 = -1

So 5i^2 = 5·i^2 = 5(-1) = -5

Answer: -5

Answer:The area is 256

Step-by-step explanation:

4 is the length side and everyone know a sq has the same length side so list 4 to the power of 4

Answer:21√10

Step-by-step explanation:

Answer:

Step-by-step explanation:

OPTIONS R NOT HERE

HOPE IT HELP

Answer: i didn't get enough detail but you can use this to help

Step-by-step explanation:

Irrational numbers are the real numbers that cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.  

Irrational numbers are expressed usually in the form of R\Q, where the backward slash symbol denotes ‘set minus’. it can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.

Answer:

They are all in standard form

Step-by-step explanation:

210.53846

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[tex]2737/13=\frac{2737}{13}[/tex]

This is because division is always the same as a fraction

9514 1404 393

Answer:

  x = 25/9

Step-by-step explanation:

  3(x-2)/4 + 3(x-3)/8 = 1/2 . . . . given

  6(x -2) +3(x -3) = 4 . . . . . . . . multiply by 8

  6x -12 +3x -9 = 4 . . . . . . . . . eliminate parentheses

  9x -21 = 4 . . . . . . . . . . . . . . . collect terms

  9x = 25 . . . . . . . . . . . . . . . .  add 21

  x = 25/9 . . . . . . . . . . . . . .  divide by 9

Answer:

I got =

[tex]2 \ \frac{7}{9} [/tex]

Step-by-step explanation:

[tex] \frac{3(x - 2)}{4} + \frac{3(x - 3)}{8} = \frac{1}{2} [/tex]

[tex]6x - 12 + 3x - 9 = 4 \\ 9x - 21 = 4 \\ 9x = 25 \\ x = \frac{25}{9} = 2 \ \frac{7}{9} [/tex]

Answer:

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex] or [tex]c=\sqrt{a^2+b^2}[/tex]

a & b are the sides

c is hypotenuse

1. [tex]9^2+5^2=c^2[/tex]

[tex]81+25=c^2[/tex]

[tex]106 = c^2[/tex]

[tex]c=\sqrt{106}[/tex]

c = 10.3 cm

And you keep doing that to the other triangles.

2. x = 8.1

3. x = 39.2

4. x = 108.5

Brainly plz :)

Answer: It is not linear because the graph doesn't form a straight line.

Step-by-step explanation:

So you know that all the angles in a triangle must add up to 180. Therefore, you can make this equation:

[tex](-20x+3)+(-40x+18)+(-15x+9)=180[/tex]

And now just solve for x!

[tex]-75x+30=180\\-75x=160\\x=\frac{160}{-75}\\x=-2.4[/tex]

So, your answer is:

x = -2.4

Answer:

so 10 +5+5=20

Step-by-step explanation:

so look a dime is 10 cent a nickel is 5 cent

Answer:

ya

Step-by-step explanation:

.

Answer:

(3,-7)

Step-by-step explanation:

The point where they cross is the solution