Answer:
<h3>
</h3>
Step-by-step explanation:
Distribute 2 through the parentheses
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Collect like terms
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Move 8 to right hand side and change it's sign
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Add the numbers
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Divide both sides of the equation by 11
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Calculate
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Answer:
1. Exponential
Step-by-step explanation:
The simplest RC-Circuit, that is, a capacitor and a resistor in a series configuration can be modeled by using Ohm's Law and Kirchhoff's Circuit Laws:
By rearranging the formula, an homogeneous linear first-order differential equation is found:
Whose solution has the form of a exponential model:
Answer:
Step-by-step explanation:
For a solution to occur y=y so we can say
3x=2x+2 subtract 2x from each side
x=2, since y=3x
y=3(2)
y=6, so the solution exists at the point
(2,6)
Answer:
Step-by-step explanation:
1) 2x + y = 3 -(1)
-3x + 2y = -8 -(2)
(1) x 2 => 4x + 2y = 6 -(3)
(3) - (2)
=> 4x + 2y + 3x - 2y = 6 + 8
=> 7x = 14
=> x = 2
=> 2(2) + y = 3
=> y = 3 - 4 = -1
2) 6x + 7y = -9 -(1)
-4x - 5y = 5 -(2)
(1) x 4 => 24x + 28y = -36 -(3)
(2) x 6 => -24x - 30y = 30 -(4)
(3) + (4)
=> 24x + 28y - 24x - 30y = -36 + 30
=> -2y = -6
=> y = 3
=> 6x + 7(3) = -9
=> 6x = -30
=> x = -5
3) -x - 7y = 9 -(1)
-x + 9y = -23 -(2)
(1) - (2)
=> -x - 7y + x - 9y = 9 + 23
=> -16y = 32
=> y = -2
=> -x - 7(-2) = 9
=> -x = -23
=> x = 23
4) -x + 9y = -5 -(1)
x - 5y = 1 -(2)
(1) + (2)
=> -x + 9y + x - 5y = -5 + 1
=> 4y = -4
=> y = -1
=> x - 5(-1) = 1
=> x = -5
5) -2x + y = 10 -(1)
4x + y = -14 -(2)
(1) - (2)
=> -6x = 24
=> x = -4
=> 4(-4) + y = -14
=> y = -14 + 16 = 2
It would take about 25 months for the cost of leasing a billboard be the same for both companies.
<h3>
Linear function</h3>
A linear function is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let P represent the cost to lease a billboard from a different company for x months. Given that:
P(x) = 100x
For the second company, let C represent the cost, hence using the table point (1, 580) and (5, 900):
C - 580 = [(900 - 580)/(5 - 1)](x - 1)
C = 80x + 500
For the same cost:
100x = 80x + 500
x = 25 months
It would take about 25 months for the cost of leasing a billboard be the same for both companies.
Find out more on Linear function at: brainly.com/question/15602982
