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Naddik [55]
3 years ago
9

Identify a counterexample to disprove 6n>n^2/6,where n is a real number.

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0
Any number larger than 36 would be a counter examples.

When n is equal to 36, both sides of the inequality are equal to 216. As you get larger than 36 the right side is larger than the left side. Therefore, the inequality is not true.
You might be interested in
Would the answer for 36 be $9.88 or $9.75?
ludmilkaskok [199]

total bill before any discounts $13.

she is a student, so she gets 20% off.

she brought an item of clothing, so she gets 5% off.

so she's really getting 20% + 5% off, namely 25% off her bill.

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 13}}{\left( \cfrac{25}{100} \right)13\implies 3.25}~\hfill \stackrel{\textit{bill with all discounts}}{13-3.25\implies 9.75}

6 0
3 years ago
Please help im doing my girl friend work and i dont know not a thing
Nadusha1986 [10]

Answer:

See below, please!

Step-by-step explanation:

We can set up a system of equations to model this problem. Let's consider the student's ticket as x, and y for the adult ticket.

So since the student ticket is $1.50, and adult is $4, we can set up the following equation: 1.5x+4y=5050, since they collected $5050 total.

We can set up another equation modeling the number of people who came to the game. This would be x+y=2200.

Solve this, and we get x= 1500 and y=700. So, they sold 1500 student tickets and 700 adult tickets.

Hope this helped!

4 0
2 years ago
Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
evablogger [386]

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as y - b = m(x - a), where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in y - b = m(x - a).

✅Equation in point-slope form would be:

y - 12 = -3(x - 6)

Rewrite this to make it be in the slope-intercept form, y = mx + b.

y - 12 = -3(x - 6)

y - 12 = -3x + 18

Add 12 to both sides

y = -3x + 18 + 12

y = -3x + 30

✅The equation in slope-intercept form is y = -3x + 30

b. ✍️Based on the linear model, y = -3x + 30, the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, y = -3x + 30, "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

6 0
3 years ago
Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl. Fannin Lanes charges 2.50 pe
Archy [21]

Answer:

4 games

Step-by-step explanation:

<em>Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl.</em>

Let x number of games played

y represents total cost to bowl

  • Fannin Lanes charges 2.50 per games plus 2 for shoe rental

y = 2.50x + 2

  • Fun Time Lanes charges 2 per game plus 4 for shoe rental.

y = 2x + 4

<u><em>If total cost to bowl be same at both center</em></u>

2.50x + 2 = 2x + 4

2.5x - 2x = 4-2

        0.5x = 2

             x = 4

Hence, 4 games will the cost to bowl be the same at both center.

3 0
3 years ago
Artaud noticed that if he takes the opposite of his age and addes 40 he gets the number 28 how old is artaud
Whitepunk [10]
Let x be the age of Artaud 

so - x  the opposite 

then -x + 40 = 28  
so x=  12 

his age is 12
6 0
3 years ago
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