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3 years ago

Graph y= –3x+4. (I WILL MARK BRAINLIEST)

Mathematics

1 answer:

Ne4ueva [31]3 years ago

6 0

Answer:

See attached

Step-by-step explanation:

<u>Given function:</u>

y= –3x + 4

To graph the line we need two points

One of the easy points is the y-intercept:

(0, 4)

Another point can be taken depending on the slope. With the slope of -3, we select x = 2 and find its y- coordinate:

y = -3(2) + 4 = -6 + 4 = -2

So we have points

(0, 4) and (2, -2)

Plot these points and connect with the line and we are done.

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Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

3 years ago

Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?

liberstina [14]

Answer:

D 34

Step-by-step explanation:

i hope you understand

3 0

2 years ago

The radius of a circle is 7 kilometers. What is the diameter?

Lena [83]

R=7

d=2r

d=14 kilometers

3 0

2 years ago

Read 2 more answers

The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference b

VMariaS [17]

28.3

Step-by-step explanation:

the difference is the answer to a subtraction problem so we can plug in our numbers like this

25.6-(-2.7) which equals 28.3

a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example

4 0

2 years ago

Select the correct answer. Why is it important to budget some money for entertainment? A. It is easier to stick to a budget if y

IRISSAK [1]

Answer:

Step-by-step explanation:

well some people like to go on a budget and others prefer not to because they rather spend their money money on wants rather than needs so I really hope this helps.

5 0

2 years ago