Answer:-2.125
Step-by-step explanation:
1. simplify the function
-2(x+3)2-5
(-2x-6)2-5
(-4x-12)-5
-4x-17
2. formula for axis of symmetry: -b/2a
a=-4 b=-17
-(-17)/2(-4)=17/-8=-2.125
Answer:
89 rooms should be set for early book customer
Step-by-step explanation:
According to the given data we have the following:
OVERAGE(CO) = 200
SHORTAGE(CS) = 500
In order to calculate how many rooms should be set for early book customer we would have to use the following formula:
OPTIMAL BOOKING = MEAN + (Z * STDEV)
MEAN = 75
STDEV = 25
SERVICE LEVEL= CS / (CS + CO) = 500 / (500 + 200) = 0.7143
Z VALUE FOR 0.7143 = 0.57
OPTIMAL BOOKING = 75 + (0.57 * 25) = 89
89 rooms should be set for early book customer
Answer:
The answer to your question is 1.59 km
Step-by-step explanation:
Data
Sign 54 km or 34 mi
1 mi = ? km
Process
1.- Use proportions and cross multiplication to find the answer
54 km ----------------- 34 mi
x km ---------------- 1 mi
x = (1 mi x 54 km) / 34 mi
-Simplification
x = 54 km / 34
-Result
x = 1.59 km
2.- Conclusion
1 mile is equivalent to 1.59 km
Answer:
<u>2 1/6x +10</u>
Step-by-step explanation:
All you need to do is combine like terms.
3/2x+<u>4</u>+2/3x+<u>6</u>
3/2x+<u>10</u>+2/3x
<u>3/2x + 2/3x</u>= <u>2 1/6x</u>
<u>2 1/6x+10</u>
Answer: See explanation
Step-by-step explanation:
Area of a rectangle = length × width
From the question, we are informed that the length of a rectangle is 8 feet, and its area is less than 168 square feet.
Therefore, the width will be calculated thus:
Length × Width < 168
8 × Width < 168
8W < 168
W < 168/8
W < 21
The width is less than 21 feet