Which table represents a linear function?

Answers

Answer 1

Answer:

Answer:

Option 3 is correct.

Step-by-step explanation:

A function is said to be linear if there is same change in x gives same change in y which is also called slope that means if slope for each pair of the given table is same then function is said to be linear.

here in option 3rd we can find the slope for each pair of points its $(y_2-y_1)/(x_2-x_1) = (-10-(-2))/(2-1) = -8$

and its same for each pair of point

therefore option third is correct

Answer 2

Answer: i think the answer is #3

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There are 48 soccer teams in the springtown association. This is three less than three times the number of teams in the Lyon Association. How would you put this into an equation?

Answers

$x \to the \ number \ of \ teams \ in \ Lyon \ Association \n\n 48+3=3*x \n\n 51=3*x \ |:3 \n\n \boxed{x=17}$

To put this into an equation let's start by labeling the Lyon Association as x.

And now lets look at the facts.

Since 48 = Three times the amount of teams minus three (aka three less than)

48 = (3 times X) - 3

If you need to solve for X

48 = (3 times X) - 3
+3 +3
51= 3 times X
/3 /3
51/3 = X

X= 17

-7(1+3p)<=98
<= means greater then or egual to ok

Answers

Means less than or equal.

And the solution is p≤ -5

Which pair of triangles can be proven congruent by SAS? 2 identical triangles are shown. The triangle is reflected across a line to form the second triangle. 2 identical triangles are shown. The triangle is rotated 90 degrees to form the second triangle. 2 identical triangles are shown. The triangle is reflected across a line and then rotated to form the second triangle. 2 identical triangles are shown. The triangle is rotated up and to the left 90 degrees to form the second triangle.

Answers

Answer:

its the third option

Step-by-step explanation:

the one with 2 rings on the second longest angle 2 lines on longest side one side and 1 line on the shortest side

Final answer:

All the described pairs of triangles that are reflected, rotated, or both, can be proven congruent by the SAS postulate because such rigid transformations preserve the congruency of sides and angles.

Explanation:

To determine which pair of triangles can be proven congruent by the SAS (Side-Angle-Side) postulate, we look for two sides of a triangle and the included angle that are congruent to two sides and the included angle of another triangle. When a triangle is reflected across a line, rotated 90 degrees, or both reflected and rotated, it maintains its size and shape, thus the corresponding sides and angles remain congruent.

A reflection or rotation (including a combination of both) is a type of rigid transformation which preserves the size and shape of figures. Hence, all the given pairs of triangles can be proven congruent to the original triangle through the SAS postulate, as rigid transformations do not alter the congruity of sides and included angles.

Learn more about SAS Postulate here:

brainly.com/question/2819482

#SPJ3

5. Marc is assembling gift bags. For every 2 pencilshe places in the bag, he uses 3 stickers. Complete
the table to show the ratio of pencils to stickers.
Pencils
4
6
8
Stickers

Answers

Answer:

4 pencils = 6 stickers

6 pencils = 9 stickers

8 pencils = 12 stickers

Step-by-step explanation:

The unit rate is 2 pencils : 3 stickers

so there are 2 groups of 2 in four, so 3 stickers for 2 groups of 2 would be 6 bc 2 times 3 is 6

Show each step of your work.

Solve -3x – 2 = 19.

Answers

Answer:

Step-by-step explanation:

-3x -2 = 19

+3x +3x

-2 = 19 + 3x

-19 -19

-21 = 3x

Divided by 3

-7 = x

Find the area of the polygon, the vertices are (1,4) (2,1) (4,1) (5,4)

Answers

so the answer is 9. hope this helps.