So we know that the bacteria grows 3x as much every ten minutes. From this we know that it'll be 3 mm in 20 minute. Continuing the pattern, we can figure out that in 40 minutes the bacteria will be 81 mm.
The pattern: 10min - 3 20min - 9 30min - 27 40min - 81
3s + h = $47
7s + 2h= $107
3s + h =$47
3s - 3s + h = $47 -3s
h = $47 - 3s
7s + 2($47 - 3s) = $107
7s + 94 -6s = 107
s + 94 = 107
s +94 -94 = 107- 94
s = 13
3(13) + h = $47
39 + h =$47
39 -39 + h= $47-39
h = 8
Check
7s + 2h= $107
7(13) + 2(8)= $107
91 + 16= 107
107 = 107
She earns $13 per suit sold and $8 per pair of shoes sold.
2x2-5x-3=0
Two solutions were found :
x = -1/2 = -0.500
x = 3
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 3 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-3
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .
Group A I’m pretty confident with that answer