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Go online and use this graphing calculator:

https://www.desmos.com/calculator

Numbers raised to the 'zero power'   always = 1

Look at this   10^1/10^1 =  1   but it also equals  10^(1-1) = 10^0 = 1

Use these formulas: Force=Mass X Accelerarion. or Mass=Force/Acceleration. Acceleration=Force/Mass.

Rachel scored 84 points in 5 games. How many points will she have to score in her 6th game to average 25 points.

In order for Rachel to average 25 points in 6 games, she needs to score:(25 X 6) - 84=66 points in the 6th game.

I think that if it is y= something then it becomes x= something

Hallo guest

ANY HEADWIND (or headwind component) will slow it down and you will have to increase gas consumption to maintain the 50 MPH.    WInd will act as friction (air friction)

(5/4)x - 3 =(1/6)y,

(2/5)x + (1/5)y=(9/5)

Solve the following system:
{(5 x)/4-3 = y/6 |     (equation 1)
(2 x)/5+y/5 = 9/5 |     (equation 2)
Express the system in standard form:
{(5 x)/4-y/6 = 3 |     (equation 1)
(2 x)/5+y/5 = 9/5 |     (equation 2)
Subtract 8/25 × (equation 1) from equation 2:
{(5 x)/4-y/6 = 3 |     (equation 1)
0 x+(19 y)/75 = 21/25 |     (equation 2)
Multiply equation 1 by 12:
{15 x-2 y = 36 |     (equation 1)
0 x+(19 y)/75 = 21/25 |     (equation 2)
Multiply equation 2 by 75:
{15 x-2 y = 36 |     (equation 1)
0 x+19 y = 63 |     (equation 2)
Divide equation 2 by 19:
{15 x-2 y = 36 |     (equation 1)
0 x+y = 63/19 |     (equation 2)
Add 2 × (equation 2) to equation 1:
{15 x+0 y = 810/19 |     (equation 1)
0 x+y = 63/19 |     (equation 2)
Divide equation 1 by 15:
{x+0 y = 54/19 |     (equation 1)
0 x+y = 63/19 |     (equation 2)
Collect results:
Answer: |  x = 54/19       and      y = 63/19 
 

Emily gave 7 of her quarters to Eli. They now have the same amount of money. How much money did Eli start with?

If Emily had Q quarters,and

Eli had R quarters, then we have

Q - 7=2R- There are MANY solution to this equation. But the ONLY one that meets the conditions stated is:

Q=21  and R=7, because,

Emily started with 21 quarters and Eli with 7 quarters, but,

21-7=14 quarters that Emily has after giving 7 to Eli, and

7+7 =14 quartes that Eli has now. So Eli started with:

7 X .25=$1.75, but after he got 7 more quarters from Emily, he now has:

14 X .25=$3.5 The amount of money that each has now.

3 skrublerd

11 deez nuts 
 

what does that mean?

howmany quartes did Emily have?

hello

8.1548454853771357

No, it's irrational 

It is irrational. Why? Because sqrt(8)=2sqrt(2). Since the sqrt(2) is irrational, then even when multiplied by any whole integer, it is still irrational.

The graph

Since the half-life=50 years, therefore,

40/50=.8 half-lives, then we have,

800 X 2^-.8=459.479...grams left after 40 years.

aa i understood )

Omi how didi you get 0.5

This is confusing me.... Does this solution assume that the ENTIRE mass is radioactive???  Then,   I THINK there will be 459.48 gms of RADIOACTIVE material left, but the mass of the SAMPLE will be greater as some atoms that are no longer radioactive will remain...right?

Thanks Omi67 ! :)

There are still 459,48 grams.

Write it as 

2(x^2 - 4x - 11) = 0   Divide by 2

x^2 - 4x - 11 = 0   Add 4 to both sides (the square of half of the coefficient of x).

x^2 - 4x + 4 - 11 = 4   Add 11 to both sides

x^2 - 4x + 4 = 15   The left=hand side can now be written as a square:

(x - 2)^2 = 15  Take square root of both sides

\(x-2=\pm \sqrt{15}\)   Add 2 to both sides

\(x =2\pm \sqrt{15}\)