In constructing the equation, you need to know the following:
1. What don't we know? How many minutes you must talk to have the same cost for both calling plans. So, let x be the number of minutes.
2. What do we know? Plan 1 charges $17.50 per month plus $0.17 per minute used and Plan 2 charges $32 per month plus $0.07 per minute used.
So the equation must look like this: 17.50 + .17x = 32 + 0.07x
Solving the equation:
1. Multiply both sides by 100
(100) 17.5 + .17x = 32 + 0.07x (100)
1750 + 17x = 3200 + 7x
2. Subtract 1750 from both sides
1750 + 17x - 1750 = 3200 + 7x - 1750
17x = 7x +1450
3. Subtract 7x from both sudes
17x - 7x = 7x + 1450 - 7x
10x = 1450
4. Divide both sides by 100
10x / 10 = 1450/10
x= 145 minutes
145 minutes is the number of minutes you must talk to have the same cost for both calling plans.
Answer:
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Answer:
see the explanation
Step-by-step explanation:
we know that
In a Rhombus opposite angles are congruent and consecutive angles are supplementary
The diagonals are perpendicular and bisect the angles
so
step 1
Find the measure of angle 4
we know that
--->by the diagonals bisect the angles
step 2
Find the measure of angle 1
we know that
----> by opposite angles are congruent
step 3
Find the measure of angle 2
we know that
----> by the diagonals bisect the angles
so
step 4
Find the measure of angle 3
we know that
----> by the diagonals are perpendicular
step 5
Find the measure of angle 5
we know that
----> by complementary angles
step 6
Find the measure of angle 6
we know that
----> by the diagonals bisect the angles
Answer:
The equation is: y = 1/2x + 7
Step-by-step explanation:
The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).
Use the point slope form of the equation:
y - y1 = m(x - x1)
Substitute:
y - 3 = 1/2(x - (-8))
y - 3 = 1/2x + 4
y = 1/2x + 4 + 3
y = 1/2x + 7
Proof:
Solve for f(x) when x = -8.
f(x) = 1/2x + 7
f(-8) = 1/2(-8) + 7
= -8/2 + 7
= -4 + 7
= 3, giving the point (-8, 3)
If you debit one side you have to debit the other. what you do to one side you must do to the other.
