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amid [387]
3 years ago
6

Marlon and Michelle have to graph a function with the equation y=x2and are having to debate about which is the most important el

ement to get started, the domain or the range . which of them is correct?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

Correct answer is the domain.

Step-by-step explanation:

A domain is the input set of a function.

A range is the output set of the function.

It is more  important to know the domain of the function to be able to determine the corresponding output set so the function can be graphed. To start with the domain is very useful because every domain element has a corresponding unique output element.

Suppose you started with the range element of 9. The input set for an output of 9 is {-3,3}. This makes it hard to match up the elements. This example highlights why it is important to start with the domain rather than the range.

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Answer:

1st prize

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Not all people use a car. Some people walk, take a bike, etc. So, if you won free gas for life, you might not be able to use it.

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3 years ago
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An ecology center wants to set up an experimental garden using 300m of fencing to enclose a rectangular area of 5000m^2. Find th
Hunter-Best [27]
P = 2(L+W) where L = Length and W = Width.A = L*WYou are given that P = 300m and A = 5000 sq.m. so plug these values into the two equations thus:300 = 2(L+W)5000 = L*WNow you have a system of equations with two unknowns.Solve equation 1a) for LL = 150-W now substitute this into equation 2a) and solve for W.5000 = (150-W)*W Simplify this.W^2-150W+5000 = 0 This quadratic equation can be solved by factoring, so...(W-100)(W-50) = 0So W = 100 or W = 50Now we need to find L and we can use equation 1b.L = 150 - W and, if W = 50m, then:L = 100m or, if W = 100m, then:L = 50m.The dimensions of the garden are: 100m by 50m
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4 years ago
The vertices of △DEF are D(1, 19), E(16, −1), and F(−8, −8). What type of triangle is △DEF?
JulijaS [17]

Answer: equilateral

Step-by-step explanation:

4 0
3 years ago
Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated
Tatiana [17]

Hello from MrBillDoesMath!

Answer:

(x-8)^(1/3) +2

Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

MrB

4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
konstantin123 [22]

Consider the given parallelogram KLMN.

Prove: \angle N \cong \angle L, \angle K \cong \angle M

 Statement                                                                       Reason

1. KL \parallel NM, KN \parallel LM               Definition of parallelogram

2. \angle K+ \angle N = 180^\circ                 Same Side interior angle theorem

   \angle L+ \angle M = 180^\circ

  \angle K+ \angle L = 180^\circ

3. \angle K+ \angle N=\angle K+ \angle L   Substitution property

  \angle L+ \angle M=\angle K+ \angle L

4. \angle N = \angle L                                 Subtraction property of equality

  \angle M = \angle K

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

5.  \angle N \cong \angle L                         Angle Congruence Postulate

  \angle M \cong \angle K

When two angles are equal, then they are said to be congruent by Angle congruence postulate.

3 0
3 years ago
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