Answer:
<em>x = 2</em>
Step-by-step explanation:
<u>Exponential Equations</u>
Solve:

Separate each exponential:

Operating:

Multiplying by 5:

Rearranging:

Recall that:


Calling


Factoring:

There are two possible solutions:
y=25
y=-50
Since

y cannot be negative, thus:

The solution is:
x = 2
The solution of x is x = 0, x =2 and x = -5
<h3>How to solve for the unknown?</h3>
The equation is given as:
2x^3+6x^2-20x=0
Factor out x
x(2x^2+6x-20)=0
Split the equation
x = 0 or 2x^2+6x - 20=0
Solve for x in 2x^2+6x - 20=0
Expand the equation
2x^2 + 10x - 4x - 20 = 0
Factorize the equation
(2x - 4)(x +5) = 0
Split the equation
2x - 4 = 0 and x + 5 = 0
Solve for x
x =2 and x = -5
Hence, the solution of x is x = 0, x =2 and x = -5
Read more about equations at:
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Answer:
m - 3.2
Step-by-step explanation:
Answer:
y = -1/4x - 5/2.
Step-by-step explanation:
I am assuming you mean y = -1/4x + 5.
This has slope of -1/4 so the required equation has the same slope ( as they are parallel).
Using the point-slope form of the equation of a line:
y - (-3) = -1/4(x - 2)
y + 3 = -1/4(x - 2)
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,

Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,

We solve the equation by elimination method by multiplying first equation by 10 and subtracting.

Thus, 15 early tickets were sold and 5 regular tickets were sold.