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Lena [83]
3 years ago
6

Is this graph a function?

Mathematics
1 answer:
inysia [295]3 years ago
8 0
Sur it's a function because for each x value corresponds one and only one y value.

Another easy way to determine if y is a function is to apply the vertical test:

If you draw a vertical line and this lines intersects the graph in one point, then y is a function

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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
7 0
3 years ago
| the British 50-pence coin shown on the right is in the shape of a
Sergio [31]

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

7 0
3 years ago
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<em>《</em><em>°</em><em>♡</em><em> </em><em>i think that the answer to this question is -5 1/3</em><em> </em><em>(</em><em>-16</em><em>/</em><em>3</em><em>)</em><em> </em><em>hope this helps!</em><em> </em><em>♡</em><em>°</em><em>》</em>

8 0
3 years ago
Sometimes the unit price on two sizes of the same product will be the same. When this is the case, how will different kinds of d
nadezda [96]
<span>The "unit price" tells gives the cost per pound, quart, or other unit of a food package. If you compare the cost of the same unit of the same food you can save money. </span><span>
Different kinds of discounts will affect differently the total unit price of each size.</span>
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3 years ago
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What are the solutions to the equation x² = 256?
kolbaska11 [484]
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