To find out the answer, let's factor out -42 (as if it's a positive number).
42: 1 x 42, 2 x 21, 3 x 14, 6 x 7.
With these given factors and due to the product being negative, we will go on and off with them being negative to find which sum up to 11.
Let's try 1 and 42.
-1 + 42 = 41
-42 + 1 = -41.
1 x 41 is not our answer.
Let's try 2 and 21.
2 - 21 = -19
-2 + 21 = 19
2 x 21 is not our answer.
Let's try 3 and 14.
-3 + 14 = 11
3 - 14 = -11.
Your answer is:
-3 and 14 sum up to 11 and make a product of -42.
-3 and 14 are your numbers.
I hope this helps!
Answer:
x = 14 and 2/3
Step-by-step explanation:
Make an equation where x is the number.
2x - 15 = 7 + 1/2x
Then, solve the equation.
multiply both sides by 2 to get rid of the fraction
4x - 30 = 14 + x
subtract x from both sides
3x - 30 = 14
add 30 to both sides
3x = 44
divide both sides by 3
x = 14 and 2/3
After 2 hours there is 12 bacteria present in the sample
Answer:
The length of the ladder is 9.2m
Step-by-step explanation:
Answer:
Option (C)
Step-by-step explanation:
There are two inequalities,
t - 4 ≥ 4t + 8 ------(1)
3t > 14 - 4t ------(2)
By simplifying inequality (1),
t - 4 ≥ 4t + 8
t ≥ 4t + 8 + 4
t ≥ 4t + 12
t - 4t ≥ 12
-3t ≥ 12
t ≤ 
t ≤ -4
By solving inequality (2),
3t > 14 - 4t
3t + 4t > 14
7t > 14
t > 
t > 2
From the given graphs, Option (C) will be the answer.