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8090 [49]
3 years ago
14

The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

<em>Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.</em>

<em>So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 98 dollars. </em>

<em>The solution would still clear your concept though.</em>

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the function

c(x) = 18x -10

comparing with the slope-intercept form of the line equation

  • rate of change = slope = m = 18
  • c(x) or y represents the cost

According to the function equation,

  • 'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $98

In order to determine the value of x, set c(x) = 98

i.e.

98 = 18x -10

switch sides

18x - 10 = 98

add 10 to both sides

18x - 10 + 10 = 98 + 10

18x = 108

Divide 18 to both sides

18x/18 = 108/18

x = 6

Therefore, if you can buy x = 6 if you pay 98 dollars.

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Len [333]

Answer:


Equation is 42t

So,

t=12

According to equation

Put value of t

=42(12)

=504

So 2nd option is correct.

5 0
3 years ago
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yulyashka [42]

Answer:

34° is the closest to the record high in degree Fahrenheit ⇒ C

Step-by-step explanation:

∵ The formula F = \frac{9}{5} C + 32 is used to convert the temperature from

    degrees Celsius (C) to degree Fahrenheit (F)

∵ The high temperature in Chicago is 1° Celsius

→ Substitute C in the formula above by 1

∴ F = \frac{9}{5} (1) + 32

∴ F =  \frac{9}{5}  + 32

∴ F = 33.8°

→ Round it to the nearest degree Fahrenheit

∴ F ≅ 34°

∴ 34° is the closest to the record high in degree Fahrenheit

7 0
2 years ago
7/8*16/21<br><br> i need help
Pavlova-9 [17]

Answer:

\frac{7}{8}   \times  \frac{16}{21}  =  \frac{2}{3}

Step-by-step explanation:

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6 0
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Step-by-step explanation:

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The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
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