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butalik [34]
2 years ago
11

The first two terms of an exponential sequence are 18 and 6. What are the next three terms?

Mathematics
1 answer:
sweet [91]2 years ago
7 0

Answer:

The next three terms are 54, 162, 486

Step-by-step explanation:

Exponential sequences you multiply to find the next term

6 x 3 = 18 (to find the next term you can multiply the previous term by 3)

18 x 3 = 54

54 x 3 = 162

162 x 3 = 486

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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
12.1 ÷ 0.11 = need hhhhhhhhhhhhhhhhheeeeeeeeeellllllllllllppppppppppppp
alexira [117]

Answer:

12.1 \div 0.11 \\  \frac{121}{10}  \div  \frac{11}{100}  \\ \frac{121}{10}  \ \times  \frac{100}{11}  \\ 11 \times 10 \\ 110

4 0
3 years ago
Read 2 more answers
X/3 in a fraction -4=5
Elena-2011 [213]
X/3 - 4 = 5
x/3 = 9
x=27
7 0
3 years ago
List multiples to find LMC of 27 and 45
PtichkaEL [24]

Answer:

135

Step-by-step explanation:

I think you mean the LCM instead of LMC. LCM stands for Least Common Multiple. Anyway, some of the multiples of 27 are 27, 54, 81, 108, and 135. Some multiples for 45 are 45, 90, 135. We can see here that 27 and 45 share the mutiple of 135 which is the first number they have in common.

6 0
3 years ago
What fraction describes how much more of<br><br> the trail Jon hiked than Andrea hiked?
34kurt
What is the whole question
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3 years ago
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