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dybincka [34]
2 years ago
15

What’s the equation to the graph

Mathematics
1 answer:
suter [353]2 years ago
7 0

Answer:

y=-1/2x-3

Step-by-step explanation:

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An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
GrogVix [38]

\text{The general term of an arithmetic sequence:}\ a_n=a_1+(n-1)d\\\\a_n-n-th\ term\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ t_n=-5+(n-1)78.\ \text{Therefore}\ t_1=-5\ \text{and}\ d=78\\\\\text{The recursive formula of the sequence:}\\\\\left\{\begin{array}{ccc}t_1=-5\\t_n=t_{n-1}+78\end{array}\right

5 0
3 years ago
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
bianca is building a sandbox that will hold 4 cubic yards of sand. she wants it to be 18 inches deep and 2 yards wide. what will
tamaranim1 [39]
Length should be 2/5yd:

18inch*1yd/36inch=.5yd=> depth

volume= 2(length*width+lenght*depth+depth*width)

let l to be the length.

volume= 2(l*2+2(.5)+.5*2)

volume=5l+2

4=5l+2

2=5l

l=2/5


5 0
3 years ago
Help with this please
olga2289 [7]

Answer:

( x + 2 ) and ( x - 11 )

Step-by-step explanation:

x² - 9x - 22 = 0

x² + 2x - 11x - 22 = 0

x ( x + 2 ) - 11 ( x + 2 ) = 0

( x + 2 ) ( x - 11 ) = 0

Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).

8 0
3 years ago
Read 2 more answers
Eric bought apples and oranges for $7.75. He paid $2.35 for all the apples
Kruka [31]

Answer:

He bought 12 oranges.

Step-by-step explanation:

Key words: "ALL the apples" "EACH orange."

7.75-2.35= 5.4

5.4/0.45= 12

8 0
3 years ago
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