Answer:
Part A: x - $13 = $499
Part B: The original cost is $512
Step-by-step explanation:
PART A:
If the discounted price is $499 and the discount is $13, the the original price (x) minus the discount ($13) equals the discounted price ($499).
Hence, x - $13 = $499.
PART B:
In order to find the original price (x) add the discount ($13) to the discounted price ($499). To do this, set the equation in Part A equal to x by add $13 to both sides.
x - $13 = $499
x - $13 +$13 = $499 + $13
Then add $499 and $13 to get $512.
x = $499 + $13
x = $512
Answer:
-3x + 5y = -24
Step-by-step explanation:
The slope = (-9-(-6) / (-7 - (-2)
= -3 / -5
= 3/5.
Using the point-slope form of a straight line:
y - y1 = m(x - x1)
y - (-9) = 3/5(x - -7)
y + 9 = 3/5(x + 7)
Multiply through by 5:
5y + 45 = 3(x + 7)
5y + 45 = 3x + 21
-3x + 5y = -24 is the required equation.
Differentiation - The value of g'(x) = .
<h3>
What is a differentiation?</h3>
Apart from integration, differentiation is among the two key ideas in calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a process called differentiation to determine a function's instantaneous rate of change predicated on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation. The rate of change of signal with respect to y has been given by dy/dx if x and y are two variables. The general representation of a function's derivative is given by the equation f'(x) = dy/dx, where y = f(x) is any function.
Given that,
G(x) =
g’(x)=?
g’(x) is the derivative of g(x).
The derivative of
Then,
=
Hence, The derivative of g(x) is = .
To learn more about differentiation from the given link:
brainly.com/question/954654
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Answer:
look this up on mathowl on the app store and there is ur answer
Answer:
The ranger should walk <u>0.577 miles per hour</u> in order to decrease the time required to reach the car.
Step-by-step explanation:
Suppose the ranger reaches x miles from the end of the road which becomes the horizontal distance and the vertical distance is 1 miles. A right angle triangle can be obtained that shows the ranger walks along the hypothesis.
The distance left to reach the car is = 5 - x
To calculate total time taken, then the function becomes
In order to find the minimized time, differentiate the function T as follows
Equate the derivative to zero and obtained
Squaring both sides
The ranger should walk 0.577 miles per hour in order to decrease the time required to reach the car.