Answer:
(-4,1)
Step-by-step explanation:
Ordered pair (-4,1) means that x = -4 and f(x) = 1
Ordered pair (1,-4) means that x = 1 and f(x) = -4
From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.
<span>Give
the Algebraic expression for the difference of 10 and u.
Algebraic expression is the expression that contains the combination of number,
variables and operators like addition, division, subtraction and multiplication.
In the given expression we need to convert it into algebraic expression.
=> expression of the difference of 10 and u
=> difference = result of subtraction
=> 10 is the number to be subtracted by u
=> u = is the unknown number to subtract to 10
=> 10 – u</span>
Answer:
f(6)>g(6)
Step-by-step explanation:
f(6)= 5(6^5)=38880
g(6)= 11 x 3^6= 8019
The formula for cost function is c(x)=FC + V(x)
Answer:
<h2><em>
112cm²/sec</em></h2>
Step-by-step explanation:
Area of a square is expressed as A = L² where L is the length of one side of the square.
The rate of change of area will be expressed using chain rule as;
dA/dt = dA/dL * dL/dt where;
dL/dt is the rate at which the side length of the square is decreasing.
Given L = 7cm, dL/dt = 8cm/sec and dA/dL = 2L
dA/dL = 2(7)
dA/dL = 14cm
Substituting the given value into the chain rule expression above to get the rate of change of the area of the square, we will have;
dA/dt = dA/dL * dL/dt
dA/dt = 14cm * 8cm/sec
dA/dt = 112cm²/sec
<em>Hence, the rate of change of the area of the square when the side length is 7 cm is 112cm²/sec</em>
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