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Nina [5.8K]
3 years ago
6

The linear equation y = 13x + 80 can be used to model the total cost y (in pounds) for x people attending the greyhound racing e

vening at Option A. (i) Explain why this equation holds.
Mathematics
1 answer:
lesantik [10]3 years ago
6 0

Answer:

Justification of 'Cost of Match , based on attendants' linear equation

Step-by-step explanation:

Yes , this linear equation might hold right in denoting total cost 'y' for 'x' people attending racing event

Given equation  : y = 13x + 80

Cost 'y' is the variable dependent on explanatory variable ie no. of race attendants. So, <em>y</em> is on LHS, being determined by <em>x</em> on LHS.

80 is the autonomous constant intercept of equation, denoting fixed setup cost irrespective of no. of attendants. +13x denotes every additional attendant increases cost by 13 units (above the level of fixed cost), this is the positive slope of equation (as variables are directly related)  

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Pls help sixowiskosixo
erma4kov [3.2K]

The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

y = ax^2 + bx + c

The given quadratic equation is 24x^2 + 2x = 15

Let's rearrange the equation

24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0

This implies that

  • a = 24
  • b = 2
  • c = -15

The equation or formula of quadratic formula is given as

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}

We can substitute the values into the equation and solve

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

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brainly.com/question/8649555

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2 years ago
Question is down below
Bingel [31]

This is a great question!

To determine the probability with which two sweets are not the same, you would have to subtract the probability with which two sweets are the same from 1. That would only be possible if she chose 2 liquorice sweets, 5 mint sweets and 3 humburgs -

Probability( 2 Liquorice) = 12 / 20 * 11 / 19

As you can see, the first time you were to choose a Liquorice, there would be 12 out of the 20 sweets present. After taking that out however, there would be respectively 11 Liquorice out of 19 remaining. Apply the same concept to each of the other sweets -

Probability(2 Mint ) = 5 / 20 * 4 / 19,\\Probability( 2 Humbugs ) =  3/20 * 2/19

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Calculate the probability of drawing 2 of each, add them together and subtract from one to determine the probability that two sweets will not be the same type of sweet!

1-\left(\frac{132}{380}+\frac{20}{380}+\frac{6}{380}\right) =\\\frac{111}{190}

<u><em>Thus, the probability should be 111 / 190</em></u>

5 0
4 years ago
What is 3y-13=35 in math
jarptica [38.1K]
16. You add 13 to 35 which makes 3y=48. Then to get y by itself you have to divide both sides by 3. 48/3=16.
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3 years ago
Read 2 more answers
Morgan uses 2 oz of dog shampoo to bathe her dog each week. After 4 wk, 34 oz of shampoo remains.
Flauer [41]
The amount of shampoo required by Morgan each week to bathe her dog = 2 oz
So
The amount of shampoo required by Morgan in 7 days to bathe her dog = 2 oz
The amount of shampoo remaining after 4 weeks = 34 oz
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The amount of shampoo remaining after 28 days = 34 oz
The amount of shampoo that Morgan uses in 28 days = (2/7) * 28 oz
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Then
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Then
34 oz of shampoo will be used in = (28/8) * 34 days
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So
The total number of
days before the bottle becomes empty = 119 + 8 oz
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alexandr402 [8]

Answer:

The first one, the opposite of any negative number is the same number but positive...and vise versa.

Step-by-step explanation:

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