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1 year ago

What is the slope of LaTeX: f\left(x\right)=3x-1

Mathematics

1 answer:

arlik [135]1 year ago

7 0

To find the slope of the expression:

$f(x)=y=3x-1$

We need to remember that this is the Slope-intercept Form of the line equation:

$y=mx+b$

Where

m = slope

b is the y-intercept.

Therefore, the slope of the line equation above is m = 3.

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Select the number sentence that illustrates the associative property of addition

kow [346]

It’s b I learned it in school

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3 years ago

Read 2 more answers

The amount of lateral expansion (mils) was determined for a sample of n = 8 pulsed-power gas metal arc welds used in LNG ship co

Alona [7]

Answer:

95% Confidence interval for the variance:

$3.6511\leq \sigma^2\leq 34.5972$

95% Confidence interval for the standard deviation:

$1.9108\leq \sigma \leq 5.8819$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

$s^2=2.89^2=8.3521$

The confidence interval for the variance is:

$\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}$

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

$\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128$

Then, the confidence interval can be calculated as:

$\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972$

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

$\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819$

6 0

3 years ago

Steve cycled 35 miles in 2 1/2 hours. What is the average speed that Steve traveled? miles per hour

Evgesh-ka [11]

Answer:

14 miles per hour

Step-by-step explanation:

The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour

5 0

3 years ago

Y=fx) = 8x<br> Find f(x) when x = 1/3<br> Enter the correct answer.

solniwko [45]

Answer:

$f(3)=2\frac{2}{3}$

Step-by-step explanation:

$f(x)=8x\\f(3)=8(\frac{1}{3})\\f(3)=\frac{8}{3} \\f(3)=2\frac{2}{3}$

Hope this helps!

4 0

3 years ago

The expression (2x+1)^2 -2(2x^2-1) is equivalent to:

Leni [432]

(2x + 1)^2 - 2(2x^2 - 1) = 4x^2 + 4x + 1 - 4x^2 + 2 = 4x + 3

8 0

3 years ago