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mafiozo [28]
3 years ago
14

75 POINTS AND BRAINLIEST IF ITS CORRECT!!!

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer: The first and last table.

As the x increases by 2, the y goes down by 1, so both tables have the same rate of change which means they are the same function.

Tables 1 and 5 are equal.

Given are 5 tables in x and y with two values each.

We are to find out which two represent the same function.

As for every function, two points are given.

Let us compare the slopes of each function.

Slope=change in y coordinate/change in x coordinate

Table           Slope

I                 -0.5

2               -0.5

3               -0.5

4                 1

5                -0.5

Table 4 is eliminated now.

Though slopes are the same for 1 and 2,f(4) =8 and 5 different . Hence I and II cannot be the same.  Similarly for 2 different values are there in table 3,4,5.  Hence 3,4,5 cannot be pairwise equal.

We find that table I and table 5 have the same slope. Also when pairwise taken, (4,8) and (2,9) slope = -0.5

So table I = table 5

Hope this helps... Stay safe and have a great day/night!!! :D

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X=44. i hope this helps!
8 0
2 years ago
Factor by grouping x^3-4x^2+7x-28
Komok [63]

Answer:

(x - 4)(x^2 + 7)

Step-by-step explanation:

x^2 is a factor of the first two terms:  x^3 - 4x^2 = x^2(x - 4).

7 is a factor of the last two terms:  7(x - 4).  

Note how (x - 4) is a factor of the entire four-term expression given above.

Then:   x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)

5 0
3 years ago
Find an equation of the line through (2,6) and parallel to y=2x+3
Setler [38]

Step-by-step explanation:

We first Find the Slope of the line y=2x+3

The Slope Intercept Form of the equation of a given line is:

y=mx+c

where m is the Slope of that line, and c is the Y intercept.

For this line, the Slope is 2

So the Slope of the line PARALLEL to y=2x+3 will also be 2. And we are given that it passes through the point (2,6)

The Point-Slope form of the Equation of a Straight Line is:

(y−k)=m⋅(x−h)

m is the Slope of the Line

(h,k) are the co-ordinates of any point on that Line.

Here, we have been given the coordinates (h,k) of 1 point on that line as (2,6)

And the Slope m is 2

Substituting the values of h,k and m in the Point-Slope form, we get

(y−2)=(2)⋅(x−6)

(y−2)=2⋅(x-6)

y−2=2x -12

y=2x -12 +2

y=2x-10

The graph will look like

graph{y=2x -10 10 [10, -10, 5, - 5]}

3 0
3 years ago
If (3). write the following vectors in column vector form:
Art [367]

Answer:

see explanation

Step-by-step explanation:

Given

a = \left[\begin{array}{ccc}3\\2\\\end{array}\right]

To obtain -3a multiply each of the elements of a by -3

3a = \left[\begin{array}{ccc}-3(3)\\-3(2)\\\end{array}\right] = \left[\begin{array}{ccc}-9\\-6\\\end{array}\right]

To obtain 1.5a multiply each element by 1.5

1.5a = \left[\begin{array}{ccc}1.5(3)\\1.5(2)\\\end{array}\right] = \left[\begin{array}{ccc}4.5\\3\\\end{array}\right]

8 0
3 years ago
Tom finished 1/3 of the 30 problems assigned in class. Steven did 3/10 of the problems. Juan finished 20% of the problems. Marcu
RoseWind [281]

Answer: Tom

Step-by-step explanation:

Tom did 1/3 of 30= 10 out of 30

Steven did 3/10 of 30= 9 out of 30

Juan did 20/100 of 30= 6 out of 30

Marcus did 8 out of 30

6 0
3 years ago
Read 2 more answers
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