The area of a rectangular patio is represented by the expression 6x^2+13-5. the width of the patio is (3x-1) write an expression to represent the length of the patio in terms of x

I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again

 6x²+15x-2x-5  split the equation in half

6x²+15x   -2x-5 so out of the first equation we can pull a 3x out

3x(2x+5) and out of the second we can pull a negative 1

3x(2x+5) -1(2x+5) rewrite it

(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)

HOPE THIS HELPS!!!

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.