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3 years ago

11

What is the ratio 17/51 in simplest form?

1 answer:

n200080 [17]3 years ago

7 0

Since 51 is equal to 3 multiplied by 17, the smallest ratio is 1/3

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The function N(t)=300/(1+299e^-0.36t) describes the spread of a rumor among a group of people who have heard the rumor, and (t)

Delvig [45]

A ) The rate at which rumor spreads speed up over time. If t increases, also N(t) increases, because 300 is divided by the smaller number.( Correct )B ) 1 = 300 / ( 1 + 299 · e^(-0.36 · 0 ) ) 1 = 300 / ( 1 + 299 · 1 ) 1 = 300 / 3001 = 1 ( Correct )C ) 100 = 300 / ( 1 + 299 · e^(-0.36 · 14 ) )100 = 300 / ( 1 + 299 · 1/154.47 )100 = 300 / 2.93565100 ≈ 102.192 ( Correct ) - approx. 14 minutes
D ) N = 300 / ( 1 + 299 · e^(-∞) )N = 300 / ( 1 + 299 · 0 ) N = 300 / 1 = 300299 people are enclosed space ( Not correct )Answer:True statements are: A ) , B ) and C ) .

6 0

3 years ago

Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

4 0

3 years ago

If F(x)=3x-2/6 which of the following is the inverse of F(x)?

lana66690 [7]

Answer:

Step-by-step explanation:

I'm seeing that f(x) is

$\frac{3x-2}{6}$

What you do to find an inverse is switch the x and y coordinates and then solve for the new y. Switching the x and y gives us:

$x=\frac{3y-2}{6}$

Now we have to solve for the new y. Begin by muliplying both sides by 6 to get:

6x = 3y - 2 and

6x + 2 = 3y so

2x + 2/3 = y

To put it back into function notation:

$f^{-1}(x)=2x+\frac{2}{3}$

6 0

4 years ago

Two lines extend from point S to create a right angle. The vertical line extends from point S through point R. The horizontal li

enot [183]

Answer:

the answer is <tsu hope this helps :)

Step-by-step explanation:

7 0

3 years ago

Which number is a rational, an integer, and a real number?

zzz [600]

There is no such number

4 0

3 years ago