Alexis received an 85 89 and 92 and three test how many points does she need to score on your next test in order to have an average of at least 90

Lets say Alexis received 85, 89, 92, and x points in her four tests.

Average of a data set or the mean of a data set, we need to add all the values together and divide by the number of values in the set.

So here 85, 89, 92, and x are the values of the data set and the number of values are 4 (since there are 4 tests).

where 'n' represents the number of values and sum represents the total sum of the values.

Here we need to know how much Alexis need to score in her next test so that she can have an average of 90.

So we know the value of average that is 90.

Now,

Solving for 'x' we get:

Therefore,

So, Alexis need to score at least 94 on her next test in order to have an average of at least 90.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.