Using translation concepts, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.
(x,y) -> (x + 4, y).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
When a figure is shifted 4 units to the right, <u>4 is added to the x-coordinate</u>, hence, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.
(x,y) -> (x + 4, y).
More can be learned about translation concepts at brainly.com/question/28416763
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Answer:
Quadratic Property 2x^2-18=0
Square Root Property x=√9 or x=+3 or x=-3
Step-by-step explanation:
Quadratic Property or a quadratic Function is of the form ax^2+bx+c=0. So our task is to equate the given expression to zero. We can equate the expression to zero by subtracting 11 on both the sides. In doing so, we get 2x^2-18=0. This is the quadratic Property of the given Expression.
Square property is finding the value for x. we have make x equal to some value. Since we already have the quadratic Property as 2x^2-18=0, we can use this to find the value of x.
so, 2x^2=18
or x^2=18/2=9
or x=√9= +3 or -3.
Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs 
Sales revenue = no of units sold * price = 
Profit funciton = P(x) = Sales revenue - Total cost
= 
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900
Answer:
45
Step-by-step explanation:
if it has a subtraction or negative dash in front its negative.
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
