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AysviL [449]
3 years ago
9

Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

Answer:

Step-by-step explanation:

a1 = -2x + 7

d = 4x + 1 - (-2x + 7)

d = 4x + 1 + 2x - 7

d = 6x - 6

n = 8

a8 = -2x + 7 + (n-1)*d

a8 = -2x + 7 + (8 -1 ) * (6x - 6)

a8 = -2x + 7 + 7 * (6x - 6)

a8 = -2x + 7 + 42x - 42

a8 = 40x - 35

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Does this graph represent a proportional relationship?<br> Explain.
ArbitrLikvidat [17]

Answer:

no it doesnt a Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. . so this is not one because its needs to be straight that is a Non linear function.

Step-by-step explanation:

6 0
3 years ago
Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct
expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}

Function B:

y = -4.5x + 15

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (1.5,5)

(x_2,y_2) = (2.5,0)

So, we have:

m = \frac{0-5}{2.5 - 1.5}

m = \frac{-5}{1}

m = -5

For function B

The general function is:

y = mx + b

Where

m is the rate of change

By comparing y = mx + b to y = -4.5x + 15

m = -4.5

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

4 0
3 years ago
Two planes intersect in a line ______.<br><br> always<br> sometimes<br> never
gladu [14]

Two planes intersect in a line sometimes.

4 0
3 years ago
Read 2 more answers
Find the midpoint of points A(-7,7) and B(-1,-3) graphically.
AfilCa [17]

Answer:

(3,5)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

(3,5)

8 0
3 years ago
Convert 5 miles to meters round to the nearest meter
m_a_m_a [10]

Answer:

8047

Step-by-step explanation:

Five miles is equivalent to 8046.72

5 miles = 8046.72

Look at the decimal number and notice that its closer to 100 than 0

So 8046.72 is rounded to 8047

Hope this helps <3

5 0
3 years ago
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