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Juliette [100K]
3 years ago
15

What are the first four terms of the sequence modeled by the recursive formula a n =a n-1 +5, when a1 = -3?

Mathematics
2 answers:
Brut [27]3 years ago
3 0

Answer:2,7,12,19

Step-by-step explanation:

a2=a2-1+5=-3+5=2

a3=a3-1+5=a2+5=2+5=7

a4=a3+5=12 and continue so on

Zinaida [17]3 years ago
3 0
The first four terms are
a1= -3
a2= -18/5
a3= -21/5
a4= -24/5

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PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??
Romashka [77]

Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

7 0
3 years ago
What are the slope and the y-intercept of the line shown in the graph?
malfutka [58]

Answer:

A

Step-by-step explanation:

The line cuts the y at positive two. The rise over run of the slope is -3/1, or 3.

Just had a test on these kinds of problems and i got 100.

5 0
3 years ago
Read 2 more answers
The price of an article with 13% VAT is Rs. 2,034. What is
Jobisdone [24]

Step-by-step explanation:

this will may be helpful for you.

6 0
3 years ago
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Solve the equation<br> below. Show all of your<br> work.<br> 2y + 8 = 2
Gala2k [10]
2y=2_8
2y=_6
Divide both sides by 2 so that y can stand alone
Therefore y=_3
5 0
2 years ago
Read 2 more answers
A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0
3 years ago
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