Answer:
Option B.
Step-by-step explanation:
Note: The function f(x) is not in correct format it must be 
.
It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).
Let as consider the two functions,
Now, table of values is
Month(x)
1 3 17
2 9 22
3 27 27
4 81 32
From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).
In month 3, heights are equal.
In month 4, height of the f(x) plant exceed that of the g(x) plant.
Therefore, the correct option is B.
Answer:
37ft³
Step-by-step explanation:
Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³
Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³
Volume of the water = volume of the fish tank - volume of the cubic stone
i.e Volume of the water = 45ft³ - 8ft³ = 37ft³
a. a=40° (alternate interior angles)
b+40°=180°( supplementary angles)
b=140°
c= d= 140°( vertically opposite angles)
d=b=140°( corresponding angles)
b. 2a+120°=180° (supplementary angles)
2a=60°
a=30°
c. a+110°=180°( supplementary angles)
a=70°
b+70°=180°( supplementary angles)
b=110°
c+110°=180°( supplementary angles)
c=70°
c=d=70( corresponding angles)
The square of a binomial expands as follows:
Expanding all the binomials, we have
Sum like terms:
Simplify terms appearing on both sides:
Move all terms involving k to the left and all numbers to the right:
Divide both sides by -20:
Answer:
a). -5.7 meters or 5.7 meters below sea level
b). When we combine the two depths we sum them since they are an increment in the same direction and we sum them from the seal level, our first reference point.
Step-by-step explanation:
a). Final depth=Initial depth+deeper increment=(-1.5)+(-4.2)=-5.7
Initial depth=-1.5 represented by a negative number since she is below sea level, meaning her reference point(point 0) is the sea level. The more she moves below the sea level the deeper she goes and the more her depth becomes negative
Deeper increment=-4.1, she further moves deeper from her initial depth(-1.5) by a value of -4.1. In order to find her final depth, we have to sum all the depths she covered from her first reference point which is the see level.
The expression is;
Final depth=Initial depth+deeper increment=(-1.5)+(-4.2)=-5.7 meters
Her final depth=-5.7 meters
b). When we combine the two depths we sum them since they are an increment in the same direction and we sum them from the seal level, our first reference point.
