Ataxi cab charges $1.50 for the flat fee and s0.50 for each mile. write an inequality to determine
sharon can travel if she has $25 to spend.
a)$0.50 - $1.50x< $25
b)$0.50 + $1.50x> $25
c)$1.50 + $0.50x< $25
d)$1.50 + $0.50x> $25

evelyn has 5524.96 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $32.50 today. write an inequality that would
be used to solve for the least amount of money she needs to deposit to avoid a fee
is it 524.96+33.50-x> 500?

7 is the median   7.875 is the mean

step-by-step explanation:

3,4,5,6,8,11,13,13

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

median = 4

step-by-step explanation:

we are given a histogram which shows a data distribution. given that all class widths are 1, we are to find the median of this data distribution.

in any data set or distribution, median is its middle value such that the data is sorted out in an ascending order.

so here, we have 7 values and the middle value will be 4 as it separates the higher half from the lower half of the date distribution.

median = = 4