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dimaraw [331]
3 years ago
5

Write the equation of the line for the following table of values.

Mathematics
1 answer:
Luda [366]3 years ago
5 0

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
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Identify all number sets to which the square root of 25 belongs to.
const2013 [10]

Answer:

SOLUTION: Explain why the square root of 25 belongs to 4 subsets of the real numbers , but the square root of 5 only belongs to 1 . tell which subsets each belong to and why .

Step-by-step explanation:

The square root of 25 is 5, which  

1. A rational number, since 5 is the ratio of the two integers 5 and 1.

2. An integer since 5 is an element of {...,-3,-2,-1,0,1,2,3,.}  

3. A whole number, since 5 is an element of {0,1,2,3.}

4. A counting number, since 5 is an element of {1,2,3,}

The square root of 5 is only  

1. An irrational number, since it is not the ratio of any two integers.

[It can only be approximated by

this nonrepeating infinite decimal, it goes on forever:

2.2360679774997896964091736687312762354406183596115257...]

4 0
3 years ago
Kindly answer this question it would be really helpfull
Svetach [21]

Answer:

The values in the table, taking into account the quadratic equation, are:

  • x     -3     -2     -1     0     1     2     3     4
  • y     <u>16</u>      9     <u>4</u>     1     <u>0</u>     1     <u>4</u>     9

Step-by-step explanation:

To obtain the values of the table, you must use the quadratic equation given:

  • <u>y = x^2 - 2x + 1</u>

Now, you must replace the x with the one that is above the value you want to find, in the first case, we're gonna replace the value x with -3:

  • y = x^2 - 2x + 1
  • y = (-3)^2 - 2*(-3) + 1
  • y = 9 + 6 + 1
  • <u>y = 16</u>

When x is -1

  • y = x^2 - 2x + 1
  • y = (-1)^2 - 2*(-1) + 1
  • y = 1 + 2 + 1
  • <u>y = 4</u>

When x is 1

  • y = x^2 - 2x + 1
  • y = (1)^2 - 2*(1) + 1
  • y = 1 - 2 + 1
  • <u>y = 0</u>

When x is 3:

  • y = x^2 - 2x + 1
  • y = (3)^2 - 2*(3) + 1
  • y = 9 - 6 + 1
  • <u>y = 4</u>

At last, the graph must be as the attached picture I give you, but <u><em>remember in y-axis you must use 1 cm as unit and in the x-axis you must use 2 cm as unit, in this form, the graph will not be so elongated as the picture I attach, It would be wider</em></u>.

3 0
3 years ago
V= 2i +9j Find ||9v||
Korvikt [17]

Answer:

9\sqrt{85}

Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = \sqrt{18^2+81^2} = \sqrt{x6885} = 9\sqrt{85}


8 0
3 years ago
When multiplying 4.73 by 2.1 how many decimal places will the product have
hichkok12 [17]

it would be 9.93300

so 3 decimal places because the zeros don't count


3 0
4 years ago
Read 2 more answers
(4+2-2)(2)-5<br> -3<br> 2.<br> 3
puteri [66]
The answer is -4 because 4+2 is equal to 6 and then 6-2 is equal to 4 and then times into the number of 2 the answer is 4x2 is equal to 8 and then minus into the negative 5 an the answer is -4.
5 0
3 years ago
Read 2 more answers
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