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1 year ago

Which table represents a linear function?

Mathematics

1 answer:

Grace [21]1 year ago

8 0

the table:4 represents a linear function.

What is system of linear equations?

The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is a solution set for a system of linear equations.

Not a Solution

If there is no intersection of any lines, or if the graphs of the linear equations are parallel, then the system of linear equations cannot be solved.

An Endless Number of Options

A set of infinite points exists for which the L.H.S. and R.H.S. of an equation become equal, indicating that a system of linear equations has an infinite number of solutions.

Unique fixing a series of linear equations

For table 4: The slope will be (8-6)/(3-5) = 2/-2 = -1

and (10-8)/(1-3) = 2/-2 = -1

Hence, the table:4 represents a linear function.

For a function to be linear the slope of all the segments should be same.

Learn more about system of linear equations, by the following link.

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Which expression is equivalent -8-(-12)

asambeis [7]

Answer:

Step-by-step explanation:

-8-(-12)=4

1.8-12=-4

2.-8+12=4

3.-8-12=-20

4.-(8+12)=-4

6 0

3 years ago

A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening

lara [203]

Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

$y=a(x-h)^2+k$

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

$0=a(21-0)^2+84$ and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

$a=-\frac{84}{441}=-\frac{4}{21}$ Good, a is negative. Your equation is, then:

$y=-\frac{4}{21}x^2+84$

3 0

3 years ago

Read 2 more answers

A ladder leans against the side of house. The angle of elevation of the ladder 71 degrees , and the top o from the bottom of the

Black_prince [1.1K]

Answer:

72.4

use the Pythagorean theorem

3 0

3 years ago

What is franks commission if he sales $12,500 of an item and his commission rate is 8.5%

Licemer1 [7]

<h3>SOLUTION:</h3>

Given,

Total sale = $12,500

Rate = 8.5%

Therefore, Commission

= 12,500 × 8.5%

= 12,500 × 85/1000

= 1062.5

5 0

2 years ago

S the following statement always, sometimes, or never true?

liubo4ka [24]

The statement “The supplement of an acute angle is an obtuse angle.” is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

Supplementary angles are two angles the sum of their measure is 180°
The two angles could be right angles or one of them is acute and the other is obtuse
The two angles can not be acute angles or obtuse angles

Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

∵ The measure of the right angle is 90°

∵ The sum of the measures of the supplementary angles is 180°

∴ 90 + the measure of the supplement angle = 180

- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle must be a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle must be an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement “The supplement of an acute angle is an obtuse angle.” is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

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4 0

3 years ago

Read 2 more answers