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Neko [114]
3 years ago
9

Below is the table of values of a function. Write the output when the input is n.

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

when input = n, Output = 4n

Step-by-step explanation:

Output = k(input)

Where,

k = constant

Find k When output = 8 and input = 2

Output = k(input)

8 = k(2)

8 = 2k

k = 8/2

k = 4

Find k When output = 28 and input = 7

Output = k(input)

28 = k(7)

28 = 7k

k =28/7

k = 4

Find output when input = n

Output = k(input)

= 4(n)

= 4n

Output = 4n

when input = n, Output = 4n

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Anja stands by the side of the road counting the wheels on the vehicles that go past her if she counts 250 wheels tie many cars
Juliette [100K]

Answer:

50 cars and 25 bikes

Step-by-step explanation:

Given

Total wheels = 250

Required:

Number of cars and bikes

Let C represent Cars and B represents Bike

A car has 4 wheels and a bike has 2 wheels;

So,

4C + 2B = 250

Divide through by 2

\frac{4C + 2B}{2} = \frac{250}{2}

2C + B = 125 ---- Equation 1

The ratio of wheels of cars to wheels of bike is 1:2

Meaning that

1C = 2B

So, C = 2B

Substitute 2B for C in equation 1

2(2B) + B = 125

4B + B = 125

5B = 125

Divide both sides by 5

\frac{5B}{5} = \frac{125}{5}

B = \frac{125}{5}

B = 25

Recall that C = 2B

So,

C = 2 * 25

C = 50

Hence, Anna has seen 50 cars and 25 bikes

6 0
3 years ago
Which expression can be used to show a 40% discount on an item costing $74 plus 7% tax?
kakasveta [241]

The final price inculding tax after discount is $ 47 and expression used is:

Required expression = price of item - discount price + tax on item

<h3><u>Solution:</u></h3>

Given that 40% discount on an item costing $74 plus 7% tax

So cost of item = $ 74

Tax = 7 %

Discount = 40 %

The expression which can be used to find price after discount including tax is:

Required expression = price of item - discount price + tax on item

Let us first find the price after discount

Price after discount = cost of item - 40 % of cost of item

Price after discount = 74 - 40 % of 74

= 74 - \frac{40}{100} \times 74\\\\= 74 - 29.6 = 44.4

Thus the price after discount is approximately $ 44

<em><u>Now tax is 7 % which means 7 % of $ 44</u></em>

Price including tax = 44 + 7 % of 44

Price including tax  = 44 + \frac{7}{100} \times 44 = 44 + 3.08 = 47.08

Thus the final price inculding tax after discount is $ 47

3 0
4 years ago
Read 2 more answers
Which of the following are the correct properties of slope?
olchik [2.2K]

Answer:

I think one of them may be C and B but I'm not sure

4 0
3 years ago
Which is true about the completely simplified difference of the polynomials a3b 9a2b2 − 4ab5 and a3b − 3a2b2 ab5?.
PtichkaEL [24]

The simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

Let's simplify the two of the given polynomials, therefore, find the difference between the two given polynomials.

a^3b+9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2+ab^5)\\\\= a^3b+9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2-ab^5\\\\\text{Bring Like terms together}\\\\=a^3b - a^3b+9a^2b^2+3a^2b^2 -4ab^5-ab^5\\\\= 12a^2b^2-5ab^5

Hence, the simplified difference of the polynomials (a³b+9a²b²-4ab⁵) and (a³b-3a²b²+ab⁵) is (12a²b²-5ab⁵).

Learn more about Like Terms:

brainly.com/question/2513478

5 0
2 years ago
A collection of 108 coins containing only quarters and nickels is worth $21 wich value could replace q on the chart?
Greeley [361]

Answer:

There would be 30 nickels and 78 quarters.

Step-by-step explanation:

To find this, start by creating a system of equations in which x is the number of nickels and y is the number of quarters. Make the first equation the total number of coins.

x + y = 108

Make the second equation based on the value.

.05x + .25y = 21

Now multiply the second equation by -4 and add together to get the y value to cancel.

x + y = 108

-.2x - y = -84

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

.8x = 24

x = 30

Now use this value to find y.

x + y = 108

30 + y = 108

y = 78

5 0
3 years ago
Read 2 more answers
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