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3 years ago

Why do you think y= ax+b is called a linear equation Please help

Mathematics

2 answers:

Mila [183]3 years ago

4 0

Step-by-step explanation:

Hey there!

Reason:

The power of the term is one.
It can be graphed in a at. line on graph.

You can simply define linear equation as the equation which has two variables with 1 exponent.

So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.

Hope it helps..

Shalnov [3]3 years ago

3 0

Answer:

Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.

Step-by-step explanation:

For example, y=7x+9,

When x is 1 y is 16, and

when x is 2 y is 23.

When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.

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WILL GIVE BRAINLIEST

Eva8 [605]

Answer:

inconsistent

Step-by-step explanation:

The two lines are parallel which means they will never intersect. This means they have no solution. When there is no solution they are inconsistent.

Coincident- same line - infinite solutions

Inconsistent - parallel lines - no solutions

Consistent and independent - 1 solutions

6 0

3 years ago

A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?

icang [17]

Answer:

109

Step-by-step explanation:

Hope this helped :)

6 0

2 years ago

Read 2 more answers

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

3 years ago

You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for

Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0

3 years ago

Bobcat park is a rectangular park with an area of 5 1/5 square miles.Its width is 1 19/20 miles. How long is the park

mel-nik [20]

area = length times width, so length = area / width

5 1/5 mi^2 5.2 mi^2

Here, length = ------------------- = --------------- = 2.66666... mi = 2 2/3 mi (answer)

1 19/20 mi 1.95 mi

4 0

3 years ago