It would take Curtis 45 minutes to ride his bike to Jean's house.
Which situation illustrates quadratic equation?
1 answer:
<em>Complete Question:</em>
<em>Which situation illustrates quadratic equation? </em>
<em>a. The length of a rectangular board is 3m longer than its width and its perimeter is 25m. </em>
<em>b. Joey paid at least P2,000 for the shirt and pants.The cost of pants is P700 more than the shirt. </em>
<em>c. A garden's length is 7m longer than its width and the area is 18 square meter. </em>
<em>d. A lot costbP4,000 per square meter and the area is 120 square meters.</em>
Answer:
C.
Step-by-step explanation:
Required
Determine which option answers the question, correctly.
From the list of given options, only option c answers the question correctly.
This is shown below.
Represent
Length with l and Width with w, such that:
Area (A) is calculated as thus:
Substitute 7 + w for l and 18 for A.
This gives:
Open Bracket
Reorder
Subtract 18 from both sides
See that the above expression is a quadratic equation.
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Answer:
a. y-intercept = 23350 and x-intercept = 13
b.
c.
Step-by-step explanation:
Given
Solving (a): The x and y intercepts
The y intercept is the initial depreciation value
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x intercept is the year it takes to finish depreciating
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Solving (b): The slope
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
So:
Because it is depreciation, it means the slope represents a deduction.
So,
Solving (c): The straight line equation
The general format of an equation is:
Where
In (a), we have that:
In (b), we have that:
Substitute these values in
<em>Hence, the depreciation equation is: </em><em></em>