The table shows the amount of money in your savings account over a period of 6 weeks. you plan to keep saving at the same rate until you have $825 in the account. which equation could you use to find the number of weeks, n, it would take to reach your goal?

a 55⋅n=825
b 55⋅n+100=825
c 100−n=825
d 100⋅n+55=825

Choice B

Step-by-step explanation:

Looks like interest isn't being used, so that makes it simple.

Every week the same amount is added, that means  we can use a linear equation, which is what it is asking us to pick between so it all works out, awesome.

Now, we need two things to make an equation.  the slope and two points.  Definitely have points so we need the slope.  

The slope is found by taking any two points and finding the difference of their y values and dividing that by the distance of their x values.  so find two points (x1, y1) and (x2, y2) and then use the formula(y2-y1)/(x2-x1)  Also, we will say number of weeks is the x and the amount of money is y

No matter which point you use you will get the slope is 55

From there we find the function with the formula y - y1 = m(x - x1)

We know m and I reccomend using (0, 100) as our x1 y1 because 0 will usually make things easier.

y - y1 = m(x - x1)

y - 100 = 55(x-0)

y = 55x + 100

you could have used any point again, 0 just means it goes away if you add 0 or subtract 0.  Of course your problem uses n so just replace x with n.  and y is the value we want to end at, which is 825

825 = 55n + 100, or arranging it so it's the same as the option, 55*n + 100 = 825, so that's choice B

idk

step-by-step explanation:

use that smart brain

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

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

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)