Answer:
vertex: (4,-6), y= -14
Step-by-step explanation:
vertex can be derived from this formula
(4, -6)
to find y intercept you need to set x=0
y=2(0-4)-6
=-8-6
y= -14
The height of this pyramid will be:
√(26^2 - (48/2)^2) = 10cm
So the volume is: V = 1/3 * 48^2 * 10 = 7680 cm^3
Answer:
The probability is
or 25%
Step-by-step explanation:
The question states the total number of vehicles, as well as the number of damaged vehicles on a yearly basis. If 50 vehicles in every 200 vehicles per year are damaged, then we can obtain:
Probability of a damaged vehicle in any given year = 
=
=
or 25%
Answer: 1: multiply the numbers
2: Evaluate the exponent
3: solution 159/16
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a

Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula



Next, is to determine the formula using:

<em>Considering :When x = 0; y = 39000, we have</em>
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<em />
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<em>Make y the subject of formula</em>
<em />
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<em>Express y as a function of x</em>
<em />
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Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes

