350 people must attend each night to break even.
Hope this helps :)
Work shown in the image.
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table
m = 
= 
= 
= 5
The line crosses the y- intercept at (0, - 2 ) , then
y = 5x - 2 → C
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
<h3><u>
Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
----------------
7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
A thousand
a kilo means a thousand of anything such as kilometer or kiloton
The answer is: False.
If a logarithm is written without a base <span>it IS NOT a natural logarithm.</span>
The explanation is shown below:
1. I<span>f a logarithm is written without a base, you must assume the base is 10. It is written as below:
log(x)
</span>
2. It is important to know that the base <span>a natural logarithm is the irrational number e. It is written as below:
ln(x)</span>
