Answer: x>5
Step-by-step explanation: The Absolute Value term is |4x+6|
For the Negative case, we'll use -(4x+6)
For the Positive case, we'll use (4x+6)
-(4x+6) = 14
Multiply
-4x-6 = 14
Rearrange and Add up
-4x = 20
Divide both sides by 4
-x = 5
Multiply both sides by (-1)
x = -5
Which is the solution for the Negative Case
(4x+6) = 14
Rearrange and Add up
4x = 8
Divide both sides by 4
x = 2
x=-5
x=2
Answer:
Mariya is 1 year old
Vikram is 7 years old
Step-by-step explanation:
Here, we want to know the present ages of Mariya and Vikram.
Let the present age of Mariya be M and the present age of Vikram be V
From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now
Thus, mathematically;
M + 6 = V ••••••(i)
Furthermore , in 2 years time Vikram will be 3 time older than Mariya
Mathematically;
( V + 2) = 3( M + 2)
V + 2 = 3M + 6
V = 3M + 6-2
V = 3M + 4 •••••••(ii)
So let’s equate the V
3m + 4 = m + 6
3m -m = 6-4
2m = 2
m = 1
But V = m + 6
V = 1 + 6
V = 7
I believe it is the ratio 3 : 1.
<u>18 students chose the turkey sandwich</u>.
Since the class has a total of 24 students, we can deduce that <u>6 students chose the vegetarian sandwich</u>.
This gives us a ratio of 18 : 6.
When simplified, we get a ratio of 3 : 1.
We are given with the free-fall function expressed as y = –16t2 + 224. To get the time of fall, equate y equal to zero as this means the stone has already reached the bottom. Doing this, t is equal to square root of 14 or equivalent to 3.74 seconds
