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serious [3.7K]
3 years ago
13

Which equation represents the relationship between the x-and y-values shown in the table.

Mathematics
1 answer:
Dmitrij [34]3 years ago
5 0

C. y = 3x - 4

Step-by-step explanation:

Given coordinates:

(2, 2), (3, 5), (5, 11), (7, 17)

The equation of any straight line is

y = mx + c

Where

m = Gradient

c = Constant

Gradient = y2 - y1/x2 - x1

Substitute any two values of y with the respective values of x.

Gradient = 17 - 2/7 - 2

= 15/5

= 3

Substitute the gradient into the general formula.

y = 3x + c

Substitute any value of the coordinate to the equation

2 = 3(2) + c

2 = 6 + c

c = -4

From y = mx + c,

substitute the values of m, the gradient, and c, the constant.

y = (3)x + (-4)

y = 3x - 4

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Find the 8th term of the geometric sequence shown below. 6x,18x^4,54x^7<br> please help
mafiozo [28]

The 8th term of the geometric sequence is 13122x^22

<h3>Explicit form of a geometric sequence</h3>

The explicit form of a geometric sequence is expressed according to the equation;

Tn = ar^n-1

where

r is the common ratio

a is the first term

n is the number of terms

Given the sequence below;

6x,18x^4,54x^7

r = 18x^4/6x

r = 3x^3

a = 6x

n = 8

Substitute to have:

T8 = 6x(3x^3)^8-1

T8 = 6x (3x^3)^7

T8 = 13122x^22

Hence the 8th term of the geometric sequence is 13122x^22

Learn more on geometric sequence here: brainly.com/question/24643676

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7 0
2 years ago
A tractor travels at an average speed of 36km/hr for 10 sec.calculate the distance the tractor covers in 10 sec​
DIA [1.3K]

Answer:

.1km

Step-by-step explanation:

The tractor can move .01 km in a second so 10 times .01 is .1

so the tractor can move .1km every 10 seconds

5 0
3 years ago
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3x-y+2=0 in rectangle form
kotegsom [21]

Complete Question:

Convert 3x-y+2=0 in rectangle form to polar form

Answer:

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Step-by-step explanation:

The equation so given is already in rectangular form, the task is to convert it to polar form.

3x - y + 2 = 0

To transform an equation from the rectangular to the polar coordinate:

x = r cosθ

y = r sinθ

Substitute the representations for x and y into the given equation:

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3rcosθ - rsinθ = -2

The polar representation of the equation then becomes:

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A stem and leaf plot shows sets of two digit numbers, by separating the ten’s place and the one’s place. On the left is the different ten’s values, while on the right next to each of the values on the left is the one’s values that associate with each of the ten’s values. This means that the numbers in this set of data are 32, 47, 51, 55, 55, 55, 58, 64, and so on. From there, you can use that knowledge to figure out how many scores were above 60.


The terms that are above 60 are 64, 65, 73, 74, 77, 87, 88, 91, 93, 93, 97, 99, and 99, for a total of 13 of the 20 scores being above 60.

8 0
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I need help please.
Norma-Jean [14]

Answer:

No

Step-by-step explanation:

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