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MaRussiya [10]
2 years ago
11

Determine whether the graph represents a function . If it does represent a function , give its domain and range.

Mathematics
1 answer:
laiz [17]2 years ago
3 0

Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:

y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

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Look at picture please! :)
Paladinen [302]

Answer:

HCF of 15 and 18 = 3

3ft long is the greatest he can make

5 0
3 years ago
A jewellery store paid a unit price of $250 less 40%, 16 1/3 %, for a shipment of designer watches . The store's overhead is 65%
ruslelena [56]

The regular selling price of the jewelry is $253.00. The sale price for the jewelry is $189.75. And the rate of markdown is 25%.

A jewellery store paid a unit price of $250 less 40%, 16 1/3 %, for a shipment of designer watches . The store's overhead is 65% of cost and the normal profit is 55% of cost.

Overhead and Profit means those costs incurred by you and paid to a General Contractor to perform and oversee covered repairs to the insured location. “Overhead and Profit” does not apply to independent or specialty contractors including, but not limited to, roofers, plumbers, electricians and painters.

It is given that the unit price of the watch is $250 and the discount rates are 40%, 16 +2/3 or 16.666666667%, and 8%. Therefore the purchase price of watches per unit can be estimated as:

Purchase price of watches per unit = Unit price*(1- first discount %)(1-second discount %)(1-third discount %)

Purchase price of watches per unit = 250*(1-40%)(1-16.66666667%)(1-8%)

Purchase price of watches per unit =115

Now, the overhead expense is 65% of the cost. So the overhead amount is Overhead amount = 65% of the cost

Overhead amount = 115*65%

Overhead amount = 74.75

Now, the profit is 55% of the cost. So

Profit amount = Cost *profit %

Profit amount =115*55%

Profit amount =63.25

a. Thus, the regular selling price can be estimated as:

Regular selling price = Unit purchase cost + overhead + profit

Regular selling price =115+74.75+63.25

Regular selling price =253.00

Therefore, the regular selling price of the watches would be $253.00

b. The sale price to break even would be equal to the cost of the watch plus overhead. It is the amount that is required to cover only the total cost of the product. So,

Break-even price = Cost + overhead

Break-even price =115 + 74.75

Break-even price = 189.75

Therefore, the break-even price is $189.75.

c. From above, the regular selling price is 253.00 and the break-even price is 189.75. Thus,

Mark-down rate to sell at break-even price = (Regular selling price-Breakeven price)/Regular selling price.

Mark-down rate to sell at break-even price = (253-189.75)/253

Mark-down rate to sell at break-even price = 0.25 or 25%

Therefore, the mark-down rate is 25%.

To learn more about markdown rate visit:

brainly.com/question/26711729

#SPJ1

7 0
10 months ago
….."………….."……how do u do dis?
raketka [301]

Answer:

x = -25

Step-by-step explanation:

3 -  \frac{x}{5}  = 8

5(3 -  \frac{x}{5} ) = 5 \times 8

5 \times 3 - 5 \times  \frac{x}{5}  = 5 \times 8

15 - 5 \times  \frac{x}{5}  = 40

15 - x = 40

- x = 40 - 15

- x = 25

x =  - 25

3 0
2 years ago
Read 2 more answers
A line is parallel to y = 3x – 2 and<br> intersects the point (3,5).
Liula [17]

Answer:

Ask a freaking tutor like it's not that under your answer it will say ask a tutor

7 0
3 years ago
Dora's car can travel 81 miles using 2.7 gallons of gas. At this rate, how far, in miles, can Dora travel using
Delvig [45]

Answer:

2190 miles

Step-by-step explanation:

8 0
3 years ago
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