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LiRa [457]
4 years ago
11

-20= -4x -6x + 2(10x)

Mathematics
1 answer:
ki77a [65]4 years ago
4 0

Answer:

x = -2

Step-by-step explanation:

-20 = -4x - 6x + 2(10x)

Simplify both sides:

-20 = -4x - 6x + 20x

Combine like terms:

-20 = 10x

Isolate the variable:

x = -2

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
dsp73

Answer:

The required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, a_2=10,a_3=5,a_4=2.5,a_5=1.25

r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}

The common ratio of GP is 1/2.

r=\frac{a_2}{a_1}

\frac{1}{2}=\frac{10}{a_1}

a_1=20

The first term of the sequence is 20.

The formula for sequence is

a_n=a(r)^{n-1}

Where a is first term and r is common difference.

The required sequence is

a_n=20(\frac{1}{2})^{n-1}

The formula for rate of change is

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The average rate of change from n = 1 to n = 3 is

m=\frac{f(3)-f(1)}{3-1}

m=\frac{5-20}{3-1}

m=\frac{-15}{2}=-7.5

Therefore the required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

8 0
3 years ago
Read 2 more answers
What is c=2pi r for r eqaul to?
drek231 [11]
I hope this helps you

7 0
3 years ago
Margo borrows $2000, agreeing to pay it back with 7% annual interest after 17 months. How much interest
julia-pushkina [17]

Answer:

1000

Step-by-step explanation:

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3 years ago
1. Find the domain and range of the relation and determine whether it is a function.
Katyanochek1 [597]
A. the relation is a function
8 0
3 years ago
Use this picture to solve for X
Zepler [3.9K]

Answer:

x=2

Step-by-step explanation:

i would set up a system of equation using the pythagorean theorem:

1^2+x^2=z^2

4^2+x^2=y^2

Add up these equations to get:

17+2x^2=y^2+z^2

But notice that

y^2+z^2=5^2

So you can substitute

17+2x^2=25

2x^2=8

x^2=4

x=2

:)

8 0
3 years ago
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