Answer:
Part 1) The unit rate is
Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00
Step-by-step explanation:
Part 1) What is the unit rate for the pumpkin seeds?
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
Let
y ----> the cost of pumpkin seeds in dollars
x ---> the weight in ounces
we have
For x=24 ounces, y=$6
Find the value of the constant of proportionality k
substitute the values
The unit rate is the same that the constant of proportionality k
therefore
The unit rate is
Part 2) How much would 56.
ounce bag of pumpkin seeds cost?
we know that
The linear equation is equal to
For x=56 ounces
substitute in the linear equation and solve for y
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
_____
<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
__
x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
Answer:
E) 2x sin(x⁶)
Step-by-step explanation:
Use second fundamental theorem of calculus.
d/dx (∫₀ˣ² sin(t³) dt)
sin((x²)³) (2x)
2x sin(x⁶)
Answer=40 games
32games x games
________=________
80% 100%
Cross Multiply
80x=3200
divide both sides by 80
x=40games
80% of 40games is 32 games