Answer:
C
Step-by-step explanation:
Given y = amount of money spend for the long distance plan per month
and x = minutes used each month
Note these 2 plans are in per month basis.
Plan A: Flat $5 + $0.99 Per min used (variable cost)
transform into an equation:
y = 0.99x + 5
Plan B: Flat $10 + $0.79 per min used (variable cost)
transform into equation:
y = 0.79x + 10
Put these 2 equations together, will give you the answer as C.
X = -2 and x = -8.
You can get this by factoring the polynomial and solving for x or by using the quadratic formula.
Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
Calculate first the common difference of the arithmetic sequence,
d = (-29 - -4)/(8 - 3) = -5
The first term is calculated through the way below,
a1 = -4 + 5 + 5 = 6
Thus, the first term of the arithmetic sequence is 6 and the common difference is -5.
To help you out, you need to use the formula of length*width*hight. I hope that, that can help you out!
