Answer:
Below.
Step-by-step explanation:
1. a^2 - b^2 = (a - b)(a + b)
a^2 and b^2 are 2 perfect squares and a^2 - b^2 are their difference.
2. The order of multiplication does not matter because in algebra multiplication is commutative ( meaning any order gives the same result).
Answer:
The answer is below
Step-by-step explanation:
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal
Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x
The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x
For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:
$19 + $0.13x = $24 + $0.08x
Solving for x:

It would take 100 minutes of calls for the costs of the two plans to be equal
Answer:
120.4 inches
Step-by-step explanation:
multiply them together
Answer:
4 = 6
5 = -17
Step-by-step explanation:
4. a² - b / b² - c
a² = 2² = 4
b = -2
4 - (-2) = 4 + 2 = 6
6 / b² - c = 6/4 - 3 = 6/1 = 6
4 = 6
5. -3x² + 2xy + 7
-3x² = -3 * -2² = -3 * 4 = -12
2xy = 2 * -2 * 3 = -4 * 3 = -12
-12 + -12 + 7 = -24 + 7 = -17
5 = -17
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Answer:
The x intercept is (3/2,0)
The y intercept is (0,-3)
Step-by-step explanation:
Y+5=2(x+1)
To find the x intercept, set y =0 and solve for x
0+5=2(x+1)
Distribute
5 = 2x+2
Subtract 2 from each side
5-2 =2x +2-2
3 =2x
Divide by 2
3/2 =x
The x intercept is (3/2,0)
To find the y intercept, set x =0 and solve for y
y+5=2(0+1)
y+5 = 2*1
y+5=2
Subtract 5 from each side
y+5-5=2-5
y=-3
The y intercept is (0,-3)