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igor_vitrenko [27]
3 years ago
8

a teacher presented students with four tables which table describes a linear function that has a slope of 2?​

Mathematics
2 answers:
oee [108]3 years ago
7 0

Answer:

Table 4

Step-by-step explanation:

Just imagine the data tables are graphs, just presented in a different form.

How do you calculate the slope in a graph?  You divide the variation of Y by the variation of X.  That's the same thing here.  Let's look at each table, and calculate the slope based on the first 2 rows of each table:

Table 1:

S = (1 - -1)/(2-6)= 2/-4 = -2, not the one we want.

Table 2:

S = (8 - 4) / (0 - 2) = 4 / -2 = -2, not the one we want.

Table 3:

S = (4 - 5)/(-4 - -2) = -1 / -2 = 1/2, not the one we want.

Table 4:

S = (0 - 4)/(-2 - 0) = -4 / -2 = 2. Yes!  That's the one!

schepotkina [342]3 years ago
6 0

Answer:

Table 4

Step-by-step explanation:

Table 4 has a slope of 2.

(12 - 4)/(4 - 0) = 2

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Step-by-step explanation:

7 0
3 years ago
Find the length of AB, given that be is a median of the triangle and AC = 30.
RSB [31]

SOLUTION

Draw the diagram

a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Hence

|DB|\text{ bisect |AC|}

SInce AC=30, Then

\begin{gathered} AB=15,\text{ CB= 15} \\ \text{Hence} \\ |AB|=15 \end{gathered}

Thus, from the median properties of a triangle, AB = 15

6 0
1 year ago
Solve by elimination 2x-3y=2 -2x-y=-26
Kisachek [45]

Answer:

x= 10, y= 6

Step-by-step explanation:

2x -3y= 2 -----(1)

-2x -y= -26 -----(2)

(1) +(2):

2x -3y -2x -y= 2 -26

-4y= -24

y= -24 ÷(-4)

y= 6

Substitute y= 6 into (1):

2x -3(6)= 2

2x -18= 2

2x= 18 +2

2x= 20

Divide both sides by 2:

x= 20 ÷2

x= 10

8 0
3 years ago
Solve : |1/5x - 7 | =4
Mnenie [13.5K]

Answer:

x = 55 or x = 15

Step-by-step explanation:

Solve Absolute Value.

We know that either 1/5x - 7 = 4 or 1/5x - 7 = -4.

1/5x - 7 = 4

1/5x - 7 + 7 = 4 + 7

1/5x = 11

1/5x (5) = 11 (5)

x = 55 (one possibility)

1/5x - 7 = -4

1/5x - 7 + 7 = -4 + 7

1/5x = 3

1/5x (5) = 3 (5)

x = 15 (second possibility)

6 0
4 years ago
A security fence encloses a rectangular area on one side of a park in a city. three sides of fencing are? used, since the fourth
alexandr1967 [171]
Let x = length of the park
Let y = width of the park

Because the area is 392392 ft², therefore
xy = 392392          (1)
Because three sides of fencing measure 5656 ft, therefore
2x + y = 5656        (2)
That is
y = 5656 - 2x          (3)
Substitute (3) into (1).
x(5656 - 2x) = 392392
5656x - 2x² = 392392
2x² -5656x + 392392 = 0
x² - 2828x + 196196 = 0

Solve with the quadratic formula.
x = (1/2)*[2828 +/- √(2828² - 4*196196)]
   = 2756.83 or 71.17

Answer:
The possible dimensions are 2756.8 ft and 71.2 ft (nearest tenth)
3 0
3 years ago
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