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Gre4nikov [31]
3 years ago
14

The cost for each car entering President George Bush Turnpike at Beltline road is $0.75. The equation that represents this relat

ion is y = 0.75x, where x is the number of cars entering the turnpike at Beltline Road and y is the amount of money collected. Determine if this relation is a function. Explain.
Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

From the definition of a function, a function associates every element of the domain to a unique element in the codomain.

In other words, if two elements are equal in the domain, then their images should also be equal.

Since, x represents the number of cars, we consider the universal set as N, the set of all natural numbers.

Let x, y ∈ N and x = y

Then, 0.75x = 0.75y

⇒ f(x) = f(y)

Therefore, images are equal, whenever elements are equal.

Hence, the function f(x) = 0.75x is a function. Also, note that the domain of the function is the set of all natural numbers and the range is the set of real numbers.


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What's the answer to this? and please explain.
vichka [17]
<h3>Answer: No, there isn't enough ribbon</h3>

===========================================================

Use this formula

a & b/c = (a*c+b)/c

to convert from a mixed number to an improper fraction

So,

a & b/c = (a*c+b)/c

3 & 3/4 = (3*4+3)/4

3 & 3/4 = 15/4

---------------------------------------------------

Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.

In this case, the LCD is 4*6 = 24

  • The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.
  • The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4

Now we can add the fractions:

90/24+20/24 = (90+20)/24 = 110/24

---------------------------------------------------

So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24

The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot

2/3 = 16/24 after multiplying top and bottom by 8

Add this to the result of the last section

110/24+16/24 = (110+16)/24 = 126/24

---------------------------------------------------

From here, we convert the improper fraction 126/24 to decimal form

Using a calculator, you should find that 126/24 = 5.25

The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.

---------------------------------------------------

The shortcut we can take is to type the following into the calculator

3+3/4+5/6+2/3

doing so should lead to 5.25

5 0
3 years ago
Read 2 more answers
What is the value of x in the equation 4(2x + 10) = 0?<br><br> −5<br> −7<br> 5<br> 7
Semenov [28]
4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5
7 0
3 years ago
Read 2 more answers
Can someone please help me with this question.
rusak2 [61]
25x25+20x25+20x15+15x25=1800 the answer is D.
5 0
3 years ago
A 3 m spring requires 12 J to stretch to 3.1 m. How much work is required to stretch the spring to 3.2m?
Cerrena [4.2K]
I DONT KNOW BROOjssj
7 0
2 years ago
The equation 3x2 = 6x – 9 has two real solutions<br> True<br> O False
devlian [24]

Answer:

False

Step-by-step explanation:

We first write the equation in the form ax² + bx + c=0 which gives us:

3x² - 6x + 9=0

Given the quadratic formula,

x= [-b ±√(b²- 4ac)]/2a ,the discriminant proves whether the equation has real roots or not.

The discriminant, which is the value under the root sign, may either be positive, negative or zero.

Positive discriminant- the equation has two real roots

Negative discriminant- the equation has no real roots

Zero discriminant - The equation has two repeated roots.

In the provided equation, b²-4ac results into:

(-6)²- (4×3×9)

=36-108

= -72

The result is negative therefore the equation has no real solutions.

3 0
3 years ago
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