How do you know if 2 fractions are equivalent?

Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather

Greeley [361]

Answer:

$(x_1,y_1) = (1,5840)$

$(x_2,y_2) = (2,13090)$

$y = 1812.5x + 4027.5$

$y_0 = 4027.5$ --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

$(x_1,y_1) = (1,5840)$

$(x_2,y_2) = (5,13090)$

Next, we calculate the slope (m) using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{13090 - 5840}{5 - 1}$

$m = \frac{7250}{4}$

$m = 1812.5$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 1812.5(x - 1) + 5840$

$y = 1812.5x - 1812.5 + 5840$

$y = 1812.5x + 4027.5$

To calculate the y intercept, substitute 0 for x

$y_0 = 1812.5*0 + 4027.5$

$y_0 = 0 + 4027.5$

$y_0 = 4027.5$

7 0

2 years ago

2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

4 0

2 years ago

Read 2 more answers

Finding the inverse function for f(x)=1/x^2

Anna [14]

to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

$\stackrel{f(x)}{y}=\cfrac{1}{x^2}\implies \stackrel{\textit{quick switcheroo}}{x=\cfrac{1}{y^2}}\implies y^2=\cfrac{1}{x}\implies y=\sqrt{\cfrac{1}{x}}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{1}{\sqrt{x}}$

4 0

2 years ago

PLEASE EXPLAIN BECAUSE A GIRL IS COMPLETELY LOST HERE

Afina-wow [57]

Hello!

To find the value of b, we need to use the Law of Sines. The law states,

sin A / a = sin B / b = sin C / c.

We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.

Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.

180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.

sin (55) / 8 = sin (43) / b (multiply both sides by b)

0.10239... · b = 0.68199... (divide both sides by 0.10239...)

c = 6.6607...

The measure of side b is equal to about 6.7 centimeters.

3 0

3 years ago

Read 2 more answers

PLSSS HELP IF YOU TURLY KNOW THISS

Doss [256]

Answer:

the answer s 6 and seventh squared so it's a 7 on the top of the 6

Step-by-step explanation:

first what your do is decide 6'5 and 6'2 and you would get 6'3. so just multiply 6'3 and 6'4 and you should get 6'7

7 0

2 years ago