Answer:
In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.
Step-by-step explanation:
To find out which one will be cheaper you need to know where they intersect, to do this you need to set up a system of equations.
y=28x+590 (chefs)
y=31x+425 (cece's)
to know where they intersect you need to make the y=0
28x+590=31x+425
Then solve
subtract the x from each side
590=3x+425
Subtract 425 from each side
3x=165
divide each side by three
x=55
now evaluate
Place a number above 55 (60 for example) into the place of x
28(60)+590=2,270
31(60)+425=2,285
In this scenario you should use chefs if you have less than 55 people and you should use cece's if you have more than 55 people.
Answer:
200?
Step-by-step explanation:
I did that by multiplying 20 by 10 because I rounded to those numbers.
Answer:
-2, -4, -3 + 2i, -3-2i
Step-by-step explanation:
Equaling the function to zero we have:
(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0
For the first parenthesis we have:
(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0
Therefore the roots are:
x = - 4\\x = - 2
For the second parenthesis we have:
(x ^ 2 + 6x + 13) = 0
By completing squares we have:
x ^ 2 + 6x = -13
x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}
Therefore the roots are:
x = -3 + 2i\\x = -3 - 2i
Hope this was helpful
Answer:
m<M = 113 deg
m<N = 61 deg
Step-by-step explanation:
In an inscribed quadrilateral, opposite angles are supplementary.
m<M + m<K = 180
m<N + m<L = 180
m<M + 67 = 180
m<M = 113
m<N + 119 = 180
m<N = 61
Answer:
y = -5x - 17
Step-by-step explanation:
Linear equations, or lines, that are perpendicular to each other have opposite reciprocals for the value of slope. For the given line, y = 1/5x - 2, the slope is 1/5 and the opposite reciprocal is -5.
Given the value of the slope and a given point on the second line, you can solve for 'b':
y = mx + b
8 = (-5)(-5) + b
8 = 25 + b
-17 = b
y = -5x - 17
