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Semmy [17]
2 years ago
6

Determine the slope and y-intercept of the graph to the right

Mathematics
1 answer:
LekaFEV [45]2 years ago
5 0
The slope is a negative slope and the y-intercept is (0,2).
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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
Alina has just recieved 3 video games for her birthday to add to her existing 12 video games. A week later she went to the thrif
Papessa [141]
Let the existing no. of video games she had be x,
then 
(3+x)+2x+5

3 0
3 years ago
If a train travels for 4.5 hours at a rate of 40 mph, what is the distance the train will travel?
Nuetrik [128]
The answer is 180.add 40 to its self or multiply by 4 then add 20 for the .5 portion, 40x4=160 160+20=180.

 hoped this helped =)

4 0
3 years ago
The hanger image below represents a balanced equation
kolezko [41]

Answer:

h+7+20

h=13

Step-by-step explanation:

To find 7+ what ='s 20 i just added 13 bc 13+7=20

5 0
3 years ago
Find the Y-Intercept<br> -3x + 7Y = 21
ivann1987 [24]
The answer is 3
Trust me dog
4 0
3 years ago
Read 2 more answers
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