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Vitek1552 [10]
2 years ago
15

Is the relationship shown by the data linear? If so, model the data with an equation. x y 1 5 5 10 9 15 13 20 The relationship i

s linear; y – 5 = (x – 1). The relationship is not linear. The relationship is linear; y – 5 = (x – 1).
Mathematics
1 answer:
sergeinik [125]2 years ago
5 0

Answer:

The relationship is linear; y – 5 = 5/4*(x – 1)

Step-by-step explanation:

We have been given the following data set;

x: 1, 5, 9, 13

y: 5, 10, 15, 20

The values of x increase by 4 while those of y increase by 5. This would imply that the average rate of change between any pair of points is a constant and thus the relationship exhibited by the data is linear.

The average rate of change is equivalent to the slope;

(change in y) / (change in x)

Using the first two pair of points we have;

(10-5) / ( 5-1) = 5/4

The point-slope form of equation of the line is thus;

y - 5 = 5/4 (x - 1)

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Which number is irrational? Is 2 correct? And please help on 3 I don’t understand this :(
snow_lady [41]

Answer:

Im pretty sure the 3rd choice on #2 is an irrational number...

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
asmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.
Inga [223]
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128

The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.

Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.

The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
8 0
3 years ago
Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo
LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0

we can factorise this equation by grouping

(acx^2+xad)+)xbc+bd) =0\\ax(cx+d) +b(cx+d) =0\\(ax+b)(cx+d) =0

Equate each factor to 0 to get

x=\frac{-b}{a} , \frac{-d}{c}

Ratio of one solution to another would be

\frac{-b}{a} / \frac{-d}{c} \\=\frac{ad}{bc}

So ratio would be ad/bc

Out of the four options given, option d is equal to this

So option d is right

4 0
3 years ago
Which graph shows the line that has<br> slope 0 and y-intercept 8?
Nina [5.8K]

Answer:

D

Step-by-step explanation:

Im pretty sure that its D because the y intercept is 8 in this equation because when the line intersects on the y axis its on (0,8) and on horizontal and vertical lines the slope is 0. so pretty sure its D

5 0
2 years ago
Help a girl out please
sergiy2304 [10]

Answer: 1. I forgot how you write it but it adds 1/3 of the number, so for example 9/3 is 3, so you add 3 to 9 = 12 and then 21/3 is 7 and so you add 7 to 21 = 28. I forgot how you would write this but I know the answer is not 1/3 though because then that would be dilating. (srry this one isn't clear)

Also sorry I couldn't really help more I'm not very good at this stuff.

7 0
3 years ago
Read 2 more answers
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