Answer:
.
Step-by-step explanation:
The given equation is
Using distributive property, we get
Isolate variable terms.
Divide both sides by -0.35.
Therefore, .
Answer:
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion).
9514 1404 393
Answer:
1. 4463
2. no
Step-by-step explanation:
1. Put the value of x into the equation and do the arithmetic.
f(4) = 5000(0.972^4) ≈ 5000·0.8926168 ≈ 4463.08
There will be about 4463 lemmings in 4 years.
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2. An exponential function has the variable in the exponent. When the variable is the base of a term that has an integer constant exponent, we call it a polynomial function.
The function is NOT an exponential function.
Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
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<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
