Answer:
125x³ − 150x²y + 60xy² − 8y³
Step-by-step explanation:
(5x − 2y)³
₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³
(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)
125x³ − 150x²y + 60xy² − 8y³
Answer:
-y, x
Step-by-step explanation:
x values go from negative to positive and the y values remain negative
<h3>
Answer: A) 5 units</h3>
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Explanation:
The two points given are
C = (x1,y1) = (2,-1)
D = (x2,y2) = (5,3)
Use the distance formula
The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.
Answer:
y(x)=0.8x+2.1
x=12 miles
Step-by-step explanation:
Let x represent the number of miles covered and with a fixed charge of 2.1 irrespective of miles covered then the equation can be written as
y(x)=0.8x+2.1
Substituting y(x) with 11.7 then
11.7=0.8x+2.1
0.8x=11.7-2.1=9.6
X=9.6/0.8=12 miles
Think of two points on a straight line. The first point is (0,8) representing 8 employees at time 0. The second point is (6,26), representing 26 employees after six months have gone by.
26-8
The slope of this line is m = ---------- = 18/6 = 3
6-0
This indicates that 3 new employees are taken on on average each month.
This situation can be represented as
E(x) = 8 + 3x, where x is the number of months that have passed, and E(x)
represents the number of employees at that point in time.