A) 3x+4=22
B) x=6
How to solve the equation: subtract 4 from both sides. You’re left with 3x=18. What is 18 divided by 3?
Answer: A. <em>Representative, since blood types are probably not different among students at the cafeteria compared to the U.S. population</em>, B. <em>Not representative, since students in the cafeteria may eat most of their meals at the cafeteria instead of eating fast food</em>
Step-by-step explanation:
I Hope that this helps! :)
Answer:
Nethan made 8 rose bouquets and 6 daffodil bouquets.
Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.
Let x represents the number of more rose bouquets.
Let y represents the number of more daffodil bouquets.
The maximum bouquets that can be made = 20
And the number of bouquets made are = 14
So, additional bouquets are =
In equation form we can show like :
or
or
Putting values of x as 0,2,4 and 6 we get:
When x = 0 then y = 6
When x = 2 then y = 4
When x = 4 then y = 2
When x = 6 then y = 0
You can see the graph attached.
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Answer:
Option 1
Step-by-step explanation:
Given : Function f of x equals 4 times one third to the 2 times x power.
To find : Rewrite the function using properties of exponents ?
Solution :
Writing the function in numeric terms,
f of x equals 4 times one third to the 2 times x power
i.e.
Solve the expression,
i.e. f of x equals 4 times one ninth to the x power.