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Firlakuza [10]
3 years ago
12

Help me with this math

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
1. 14 2. 9 3. 4.5 4. 18 5. 1/4
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The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in
Anon25 [30]

We have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is [2,\infty).

If we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

Let us know find its inverse.

y=(x-5)^{2}+2

Upon interchanging x and y, we get:

x=(y-5)^{2}+2

Let us now solve this function for y.

(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\

Hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

8 0
3 years ago
The amount of profit, p, you earn by selling knives, k, can be determined by: p=200k-500 a) Determine the constraints on profit
Natalka [10]
We are given with the formula
p = 200k - 500
a) The constraint for this formula is obtained from the idea that the profit must be positive
200k - 500 > 0 
k > 500/200
k > 2.5
b) To make 14000 profit
 14000 = 200k - 500
k = 72.5 or 73 knives must be sold
3 0
3 years ago
What’s the answer 4±√10
valina [46]

Answer:

1

Step-by-step explanation:

1 because it 1 and I know it one I need help 1

3 0
3 years ago
The numerator of a fraction is four less than the denominator. If 17 is added to each.
Mkey [24]

Answer:

x + 13 / x + 17

Step-by-step explanation:

x - 4 / x

x + 13 / x + 17

4 0
2 years ago
What is the value of p
aivan3 [116]
180 is the degree of the whole angle so you subtract 180 from 77 to get P
180-77=103
P=103
6 0
2 years ago
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