Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
Step-by-step explanation:
rc = planted rows of carrots
rt = planted rows of tomatoes
h = number of hours
rc = 4h + 1 (starting with 1 already finished row there will be 4 additional rows every hour)
rt = 3h + 8 (staying with 8 already finished rows there will be 3 additional rows every hour).
when will they have planned the same number of rows ?
when rc = rt, of course.
so,
4h + 1 = 3h + 8
h = 7
4×7 + 1 = 28 + 1 = 29 rows
after 7 hours Quincy and his mom will each have planted 29 rows of vegetables.
Answer:
$20.4
Step-by-step explanation:
20% of 17= 3.4
Add it to the initial $17 and you get $20.4
Answer:
30 grams
Step-by-step explanation:
So, first I had to figure out what 1 tin weight. Which was 350 grams because I divide 5 into 1750. Then I did 350+4 which gave me 1,400. I knew that there was three packets so 30 grams per packet should be the answer because 30×3 is 90 grams.
