Let r represent roys driving speed in miles per hour .write an expression to show the total distance Roy will have driven in 2 h
1 answer:
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Answer:
f(x) = -4x² + 19x - 18
Step-by-step explanation:
i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)
f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:
ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:
iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.
Answer:
$4
Step-by-step explanation:
The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):
7a +16s = 120 . . . . . . . . price for the first purchase
13a +9s = 140 . . . . . . . . price for the second purchase
Using Cramer's rule, the value of s can be found as ...
s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4
The cost of a student ticket is $4.
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<em>Comment on Cramer's Rule</em>
Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.
The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.
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Of course, graphical methods can be quick and easy, too.
