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Arisa [49]
3 years ago
14

Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term

Step-by-step explanation:

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How do you determine what side of the triangle is the hypotenuse?
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Taylor buys nail polish from a shop that cost $3.95 each. She has a maximum of $30 to spend on nail polish purchases. The total
kati45 [8]

Answer:

C_t=3.95x,\ 0\leq x\leq 7

Step-by-step explanation:

<u>Modeling With Functions</u>

It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.

The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

C_t=3.95x

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

3.95x\leq 30

Solving the inequality for x

x\leq 30/3.95

x\leq 7.6

We round down to

x\leq 7

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish

Our model is now complete if the state the limits of x, or its domain

\boxed{C_t=3.95x,\ 0\leq x\leq 7}

3 0
3 years ago
A rectangle has a fixed perimeter of 350 but the length and width of the rectangle can vary. Define a function g that determines
Verdich [7]

Answer:

g(L) = 175L - L²

Step-by-step explanation:

350 = 2(length + width)

length + width = 175

Let L be the length,

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width = 175 - L

Area = length × width

g(L) = L(175 - L)

g(L) = 175L - L²

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Step-by-step explanation:

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