X = gym memberships, and y = bottles of water
30x + 7y = 1050.....when x = 28
30(28) + 7y = 1050
840 + 7y = 1050
7y = 1050 - 840
7y = 210
y = 210/7
y = 30....so he would have to sell 30 water bottles

3 0

3 years ago

Solve the quadratic equation. Show all of your steps. x 2 + 3 x − 5 = 0

AlladinOne [14]

For this case we have the following quadratic equation:

$x ^ 2 + 3x-5 = 0$

Where:

$a = 1\\b = 3\\c = -5$

We look for the solution using the following formula:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-3 \pm \sqrt {3 ^ 2-4 (1) (- 5)}} {2 (1)}\\x = \frac {-3 \pm \sqrt {9 + 20}} {2}\\x = \frac {-3 \pm \sqrt {29}} {2}$

Thus, we have two roots:

$x_ {1} = \frac {-3+ \sqrt {29}} {2}\\x_ {2} = \frac {-3- \sqrt {29}} {2}$

Answer:

$x_ {1} = \frac {-3+ \sqrt {29}} {2}\\x_ {2} = \frac {-3- \sqrt {29}} {2}$

3 0

3 years ago

simon is making wreaths to sell .he has 60 bows, 36 silk roses and 48 silk carnation .he wantsto put the same numbers of items o

myrzilka [38]

We must assume that he must put a whole number of objects in each wreath so we must find the greatest common factor

60=2 time 2 times 3 times 5
36=2 times 2 times 3 times 3
48=2 times 2 times 2 times 2 times 3

the factors are 2 times 2 times 3 or 12
there can be 12 wreath max
we total them up and divide by 12
60+36+48=144
144/12=12
12 items per wreath

8 0

3 years ago