Answer:
1,2,4
Step-by-step explanation:
Answer:
285.28571429 minutes
Step-by-step explanation:
Let us represent
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 26 cents per minute
Converting cents to dollars
100 cents = 1 dollars
26 cents =
26/100 cents
=$ 0.26
C1 = $0.26 × t
C1 = 0.26t .......... Equation 1
Second Plan
The second plan charges a monthly fee of $39.95 plus 12 cents per minute
Converting 12 cents to dollars
100 cents = 1 dollars
12 cents =
12/100
= $0.12
C2 = $39.95 + 0.12t........Equation 2
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.26t = $39.95 + 0.12t
Collect like terms
0.26t - 0.12t = $39.95
= 0.14t = $39.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 285.28571429 minutes
Therefore, the number of talk minutes that would produce the same cost for both plans is 285.28571429 minutes.
Answer:
We know that:
(a - b)^2 = a^2 - 2ab + b^2
and:
(a + b + c)^2 = a^2 + b^2 + c^2 + 2ac + 2bc + 2ab
Then:
(a - b)^4 = (a - b)^2*(a- b)^2 = (a^2 - 2ab + b^2)^2
Now we can just solve that last expression using the second expansion.
So, if we apply that to our case, we will have:
(1 - 4x)^2 = (1^2 - 2*1*4x + (4x)^2)^2
= (1 - 8x + 16x^2)^2
= 1^2 + (-8x)^2 + (16x^2)^2 + 2*1*(-8x) + 2*1*(16x^2) + 2*(-8x)*(16x^2)
= 1 + 64x^2 + 256x^4 - 16x + 32x^2 - 256x^3
= 256x^4 - 256x^3 + 96x^2 - 16x + 1
Alright, let's go through what these mean
- A is saying that you can group numbers in parenthesis differently for multiplication. Since this does not involve multiplication, this is not applicable.
- B is saying that you can expand numbers in parenthesis by multiplying it out.Since this does not involve multiplication, this is not applicable.
- C is saying that numbers multiplied by each other can be switched. Since this does not involve multiplication, this is not applicable.
- D is saying that you can group numbers in parenthesis differently for addition . Since this involves grouping numbers differently in parenthesis, this is correct!