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kirza4 [7]
1 year ago
13

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.

brainly.com/question/25858757

#SPJ1

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20) Which rule yields the dilation of the figure RSTU centered at the origin?
Ierofanga [76]
A) (x,y)->(4x,4y) because the x and y values are multiplied by 4 when dilated. Ex. U(-1,1) was dilated to U’(-4,4). -1 was multiplied by 4 to get -4 for the x value and 1 was multiplied by 4 to get 4 for the y value.
8 0
4 years ago
Read 2 more answers
is it possible to draw a pair of supplementary angles in which both angles are acute. Explain your Answer with words and drawing
tiny-mole [99]

It is practically impossible to draw a pair of supplementary angles in which both angles are acute.

<h3>What are Supplementary Angles?</h3>

When two angles add up to give us 180 degrees, both angles are said to be supplementary angles. Thus, they have a sum of 180 degrees. One is a supplement of the other.

<h3>What are Acute Angles?</h3>

Acute angles can be defined as angles that have a measure that is less than 90 degrees. That is, they do not measure up to 90 degrees or have a measure below 90 degrees.

Thus, this means that, for two angles to be supplementary, one of them can be an acute angle while the other must be more than 90 degrees. For example, 50 degrees is an acute angle while 130 degrees is not an acute angle, but they are supplementary angles because: 50 + 130 = 180°.

On the other hand, the sum of two acute angles cannot be equal to 180 degrees. E.g, 89 + 89 = 178°.

In conclusion, it is therefore, practically impossible to draw a pair of supplementary angles in which both angles are acute.

Learn more about supplementary angles on:

brainly.com/question/8992900

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8 0
2 years ago
Is this right yes or no
eduard

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the
galina1969 [7]

Answer:

a. The margin of error is 2.29.

b. 19.23 to 23.81

Step-by-step explanation:

The sample size is n=64.

We start by calculating the sample mean and standard deviation with the following formulas:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}

The sample mean is M=21.52.

The sample standard deviation is s=6.89.

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{6.89}{\sqrt{64}}=\dfrac{6.89}{8}=0.861

The degrees of freedom for this sample size are:

df=n-1=64-1=63

The t-value for a 99% confidence interval and 63 degrees of freedom is t=2.656.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.656 \cdot 0.861=2.29

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 21.52-2.29=19.23\\\\UL=M+t \cdot s_M = 21.52+2.29=23.81

The 99% confidence interval for the mean is (19.23, 23.81).

5 0
3 years ago
The vertex of a parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term i
denis23 [38]

Answer:

y=a(x+2)^{2} -3\\-2=a(-5+2)^{2} -3\\\frac{-2+3}{9} =a\\a=\frac{1}{9} \\

Step-by-step explanation:

4 0
3 years ago
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