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2 years ago

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Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets cos

t $12 each if you buy them at the door on the night of the concert. Write a system of equations to model the situation. (Identify your variables)

1 answer:

klasskru [66]2 years ago

5 0

Answer:

below

Step-by-step explanation:

x: ticket

y: total cost

y= 10x + 8

y= 12x

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If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))

sp2606 [1]

Answer:

$f(g(-2))=-134$

Step-by-step explanation:

So we have the two functions:

$f(x)=7x+6\text{ and } g(x)=8x-4$

And we want to find f(g(-2)).

First, let's find g(-2):

$g(-2)=8(-2)-4$

Multiply:

$g(-2)=-16-4$

Subtract:

$g(-2)=-20$

Now, substitute:

$f(g(-2))=f(-20)$

Now, find the value of f(-20):

$f(-20)=7(-20)+6$

Multiply:

$f(-20)=-140+6$

Add:

$f(-20)=-134$

So:

$f(g(-2))=-134$

And we're done!

5 0

3 years ago

Show that the equation x^3 + x -3 =0 has a solution between 1 and 2. That is the only information given

valentina_108 [34]

Answer:

Step-by-step explanation:

Given that:

$f(x) = x^3 + x - 3 = 0$

Since the given function is equal to zero, then the function :

$f(x) = x^3 + x - 3$

where;

$x = 1$ and

$x = 2$

$f(x) = (1)^3 + (1) - 3 \\ \\ f(x) = 1 + 1 - 3 \\ \\f(x) = -1 < 0$

$f(2) = x^3 + x - 3 \\ \\f(2) = (2)^3 + 3 - 3 \\ \\f(2) = 8 + 3 - 3 \\ \\f(2) = 11 - 3 \\ \\f(2) = 8 > 0 \\ \\$

Thus; f(1) < 0 and f(2) > 0

8 0

2 years ago

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

<u>For bulb </u><u>box</u><u> </u><u>the </u><u>d</u><u>imensions</u><u> </u><u>are:</u>

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

<u>For </u><u>Carton </u><u>the dimensions are</u><u>:</u>

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

3 0

2 years ago

Fractions are equal to 12 /18 is

Amanda [17]

Answer:

2/3

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A rectangular bathroom tile is 2 1/3 times as wide as it is tall.If the tile is 5cm tall,how wide is it?

Neko [114]

The width of the rectangular bathroom tile is 11 and 2/3 centimeters. Taft is because 2x5 is 10 cm and 1/3x5 is 5/3. 5/3 simplified as a mixed number is 1 and 2/3. 1 and 2/3 combined with 10 is 11 and 2/3 centimeters.

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2 years ago