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antiseptic1488 [7]
2 years ago
8

Two families are going ice skating over their Christmas break. The first family spends $25 on skate rentals for 5 kids and 2 adu

lts. The second family spends $14 on skate rentals for 3 kids and 1 adult. How much does each skate rental cost for an adult?
Mathematics
1 answer:
Temka [501]2 years ago
7 0

Answer:

kids= $3

Adults= $5

Step-by-step explanation:

Given data

Let kids be x

and adults be y

First family

5x+2y= 25-----------------1

Second family

3x+y= 14-----------------2

Solve 1 and 2

5x+2y= 25 X 1

3x+y= 14     X 2

5x+2y= 25

-6x+2y= 28

-x= -3

x= 3

Put x= 3 in 1

5x+2y= 25

5(3)+2y= 25

15=2y= 25

2y= 25-15

2y= 10

divide both sides by 2

y= 10/2

y= 5

Hence kids= $3

Adults= $5

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Mike's truck engine holds 1 and 1/4 gallons of oil if there are 3 quarts of oil in the engine now how many more quarts of oil do
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Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,
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Describe the end behavior of the given function f(x)=2/3x-2
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Answer:

The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity

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Step-by-step explanation:

When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).  

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L need the answer for this question asap!!!
DochEvi [55]
<h2>Answer:</h2><h3>A. Domain </h3>

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

  • Domain = All reals

<h3>B. Range</h3>

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

  • Range = y ≤ 1

<h3>C. Increasing Interval</h3>

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

  • Increasing Interval = [-∞, 2]

<h3>D. Decreasing Interval</h3>

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

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The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

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A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.

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