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Julli [10]
2 years ago
5

C(1)=−20 c(n)=c(n−1)+10 Find the second term in the sequence. ​

Mathematics
1 answer:
svet-max [94.6K]2 years ago
5 0

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

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You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
2 years ago
Write the slope intercept form of the equation of the line through the given points and slope 1,1 and slope of -3/5
Maslowich

Slope is already given in the question so we only need to solve for the y-intercept.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

-3/5 = -0.6

1 = -0.6(1) + b

1 = -0.6 + b

1 + 0.6 = -0.6 + b + 0.6

1.6 = b

Now, write in slope-intercept form.

y = -3/5x - 1.6

______

Best of Luck,

Wolfyy :)

7 0
3 years ago
WILL GIVE A BRAINLIEST!! PLEASE HELP!!
tia_tia [17]
<span>3^5 * 6^-6 / 3^3 * 6^-4
= 3^2 6^-2
= 3^2 / 6^2
= 9/36
=1/4

answer
</span><span>C.
1/4</span>
5 0
2 years ago
Please helppp meeeeeeee
natka813 [3]

Answer:

i dont know if this is right but i think that would be the second one

Step-by-step explanation:

i dont know if this is right but i think that would be the second one

3 0
3 years ago
There are 12 boys and 15 girls in your class. Four new students, 3 boys and 1 girl,join your class. Compare the ratio of boys to
UkoKoshka [18]
What I'm confused do u want us to tell u the before and after ratios or the rate of change?
7 0
3 years ago
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