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scZoUnD [109]
2 years ago
12

The following expression models the total money earned by setting up a food stall at a funfair, where x represents the number of

cheeseburgers sold. What does the constant term in the above expression represent?

Mathematics
1 answer:
REY [17]2 years ago
8 0
After a thorough search, I found the same question on the internet. Please refer to the attached picture. If it's the same one with yours, then the answer is letter C - The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.

It is like a fixed cost that is incurred by the food stall that they need to pay for not considering the sales or income they would earn.

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Solve the system using substitution x=3y-11 4x-3y=-26
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Answer:

x=3y-11

then now putting the value of x in second equation

4(3y-11)-3y =26

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now putting the value of  y in 1st equation then

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Step-by-step explanation:

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3 years ago
1. ​Find the area of the triangle. Show as much work as possible for full credit.
Ugo [173]

Answer:

A = 5/12 x^2

Step-by-step explanation:

A = 1/2 bh

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3 years ago
30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...
Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is -\frac{1}{4}

Thus, r=-\frac{1}{4}

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is a_{n}=a_{1} \cdot r^{n-1}

To find the fifth term, substitute n=5 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}

To find the sixth term, substitute n=6 in a_{n}=a_{1} \cdot r^{n-1}

\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}

To find the sum of the first six terms:

The general formula to find Sn for |r| is S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}

\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}

Thus, the sum of first six terms is 38.39

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