All categories

3 years ago

Which table shows input and output values that represent a linear function?

Mathematics

1 answer:

shepuryov [24]3 years ago

4 0

Answer:

Table A

Step-by-step explanation:

In order for it to be a linear relationship, the change in the x values and y values (f(x)) needs to be consistent.

In every table, the x values change the same, so we can focus on the y values.

Notice in table A, the f(x) values go down consistently by 10 for every change in x.

All of the other tables are not consistent.

Therefore, table A is the only linear function.

You might be interested in

8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Whích situation can be modeled by the inequality 50 – 12. > 8?

Ad libitum [116K]

Answer:

idk

Step-by-step explanation:

8 0

3 years ago

A concert is being held in your hometown. 1500 tickets are sold. Adult tickets are $10.50 and child’s tickets are $7.50. If a to

kobusy [5.1K]

Answer: 200 child tickets & about 143 adult tickets.

Step-by-step explanation:

1st: 1500 / 7.50 = 200

2nd: 1500 / 10.50 = 142.857 (Notice how I put ABOUT)

X = 200

Y = About 143

Welcome!

6 0

3 years ago

A sentence For the word Sensitive pls

bija089 [108]

The person sitting next to me was very sensitive.

7 0

3 years ago

Read 2 more answers

The numerator and the denominator of a certain fraction are consecutive odd numbers. If nine is subtracted frm the numerator, th

Pachacha [2.7K]

The denominator of a fraction is 1 more than 3 times the numerator. If the denominator is doubled and the numerator is increased by 2, the value of the resulting fraction is 1/4. Find the original fraction.

4 0

3 years ago

Read 2 more answers