Answer:
H is correct
Step-by-step explanation:
(243)^1/3
(3^3 × 3^2)^(1/3)
(3^3)^1/3 × (3^2)^1/3
3×(9)^1/3
Answer:
x^4 -2x^2 -24
Step-by-step explanation:
(x^2+4)(x^2−6)
FOIL
First: x^2*x^2 = x^4
Outer: x^2 *-6 = -6x^2
Inner: x^2 *4 = 4x^2
Last: 4*-6 = -24
Add them together
x^4 -6x^2 +4x^2 -24
Combine like terms
x^4 -2x^2 -24
This is in standard form since the powers decrease
Erika $21
3k of cinnamon
1g of gummies
Irene $39
3k of cinnamon
3k of gummies
c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies
Erika's Equation
3c + 1g= $21
Irene's Equation
3c + 3g= $39
Solve for one variable in equation one and substitute it in the other equation.
3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c
Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4
Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9
ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.
Hope this helps! :)