Step-by-step explanation:
After taking the square root:
x + 2 = ±2
Notice that x + 2 can also equal -2, because (-2)² = 4.
The applicable decay formula is:N = No*e^(-kt)WhereN = Mass left after time tNo = Original massk = constantt = half lifeUsing the values given,N/No = e^(-0.1446t) = 1/2ln (1/2) = -0.1446 t *ln e^1-0.6931 = -0.1446 tt = 0.6331/0.1446 = 4.79 daysTherefore, half-life is 4.8 days.
Answer:
There are no solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x/5+2/3+1x/5=x
4/5x+2/3+1/5x=x
(4/5x+1/5x)+(2/3)=x(Combine Like Terms)
x+23=x
x+23=x
Step 2: Subtract x from both sides.
x+2/3−x=x−x
2/3=0
Step 3: Subtract 2/3 from both sides.
2/3−2/3=0−2/3
0=−2/3
Answer:
There are no solutions.
Answer:
5. D
6. C
Step-by-step explanation:
<u>Question 5</u>
Lets plug in values of x and y into each equation to see which one works for the entire data set...
y=2x-4
1) Plug in -7 as x and -18 as y:
-18=2(-7)-4
2) Multiply:
-18=-14-4
3) Subtract:
-18=-18
The answers are the same, therefore the correct answer to question 5 is equation D. Keep in mind, you want to check ever single pair of points to make sure it works for all of them, I'm just not going to list that as it would make this answer a lot longer for no reason.
<u>Question 6:</u>
We know that the cost for the boat is $25 as a base price, and also costs an additional $1.30 per day for fuel.
The correct equation is C=25+1.30d, because we are adding 1.3 every single day.
Answer:
So
Step-by-step explanation: