Formula of direct variation is: y = kx
k is the constant of variation
y is the total value that is directly varies with the changes in x.
in this case. x is represented by a. y is represented by b.
A.) b = 0.7a ⇒DIRECT VARIATION with 0.7 as the constant of variation
B.) b = 1/8 a⁻³ ⇒ Not a direct variation. Because a has a negative exponent
C.) 5(1/a) = b ⇒ Not a direct variation
D.) 1a = b ⇒ DIRECT VARIATION with 1 as the constant of variation
If you have pick it, then you should be offered choices and you should include them in the question.
The answer is 3.09
Answer:
-2x^4 +10x^3 -3x^2 +5x +27
Step-by-step explanation:
a) Using the distributive property, we can eliminate parentheses:
2x^4 + 7x^3 - 3x^2 + 7 - 4x^4 + 3x^3 + 5x + 20
And using the distributive property again, we can factor pairs of like terms:
= x^4(2 -4) +x^3(7 +3) -3x^2 +5x +(7 +20)
b)
= -2x^4 +10x^3 -3x^2 +5x +27
The team with mode with the highest score is team C. Because mode is the number you see more than once.And the mode for Team A is 56, Team B is 60, and Team C is 82.
By inclusion/exclusion,
We have
so that
Now,
and by inclusion/exclusion,
Decompose 
into the union of two disjoint sets:
Since they're disjoint,
From the Venn diagram, we see there are 3 elements unique to 
- by the way, this is the set 
- so 
, and it follows that
Finally, we get for (a)
For (b), we have by inclusion/exclusion that
