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Kipish [7]
3 years ago
6

Please help me!! This is algebra 1

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Domain:

We know that

domain is all possible values of x at which y is defined

so, all given x-values in this table is domain

so, domain is {-2, -1, 0, 1, 2, 3}...........Answer

Range:

We know that

range is all possible values of y at which x is defined

so, all given y-values in this table is range

so, range is {-3, -1, 1, 3,5, 7}...........Answer


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Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
2 years ago
If I have 35 cookie and then eat 5 of them how much would I have left in all
erik [133]
You will have 30 cookies left
6 0
3 years ago
YES I Am GIVING A BRAINLIST pls be accurate
CaHeK987 [17]

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

8 0
2 years ago
Simplify the following polynomial
Amiraneli [1.4K]

Answer:

-3x^4 - 13x^3 + 14x - 7

Step-by-step explanation:

(5x^4 – 9x^3 + 7x – 1) + (-8x^4 + 4x^2 – 3x + 2) - (-4x^3 + 5x - 1)(2x – 7)

simplify multiplied terms

(-4x^3 + 5x - 1)(2x – 7)

(-4x^3+10x-8)

group like terms together

(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)

simplify grouped terms

-3x^4 - 13x^3 + 14x - 7

3 0
3 years ago
What value makes x - 7 = -6 equation true?
Bumek [7]

Answer:

x=1

Step-by-step explanation:

In order to solve this equation, we must add 7 to each side. This gives us x=1

x-7=-6\\\\x=1

4 0
3 years ago
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