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3 years ago

What does the 4 mean in 14?

Mathematics

1 answer:

ra1l [238]3 years ago

5 0

Answer:

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Step-by-step explanation:

The 4 is representing the ones place.

-hope it helps

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Which graph represents the function of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4 ? (2 points) graph of 2

Kamila [148]

We can simplify the given rational function into a linear one, the graph is below.

<h3>Which graph represents the function?</h3>

Here we have the rational function:

$f(x) = \frac{4x^2 - 16}{2x - 4}$

Factorization the numerator, we get:

4x² - 16 = 0

4x² = 16

x² = 16/4 = 4

x = ±√4 = ±2

Then the numerator can be written as:

4*(x - 2)*(x + 2)

And the denominator can be rewritten as:

2x - 4 = 2*(x - 2)

Then the function becomes:

$f(x) = \frac{4*(x + 2)*(x - 2)}{2*(x - 2)} \\\\f(x) = 2*(x + 2) = 2x + 4$

So we have just a linear equation, so the graph that represents the function is the graph of a line, the one you can see below.

If you want to learn more about rational functions:

brainly.com/question/1851758

#SPJ1

4 0

2 years ago

Where is the blue dot on the number line? -0.55 -0.6 -0.65

diamong [38]

Answer:

-0.58

Step-by-step explanation:

Since it's 3 more spaces than -0.55 and 2 less than -0.6, the only number it could be (assuming the spaces are even) is -0.58.

3 0

3 years ago

9. Write The eQuaTION OF THE LINE THAT Passes THROUGH THE

lara31 [8.8K]

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Further explanation:

The general form of equation of line is:

$y=mx+b$

Given

(x1,y1) = (9,0)

(x2,y2) = (0, -6)

We have to find the slope first:

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}$

Putting the value of slope in general form

$y=\frac{2}{3}x+b$

To find the value of b, we have to put a point in the equation

Putting (9,0) in equation

$0=\frac{2}{3}(9)+b\\0=2*3+b\\0=6+b\\b=-6$

Putting the values of b and m in general form

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Keywords: Equation of line, Pount-slope form

Learn more about point-slope form at:

#LearnwithBrainly

3 0

4 years ago

In a random sample of 20 NBA basketball games the mean number of points scored by the home team was 100.4 with a standard deviat

slava [35]

Answer:

The 95% confidence interval is $98.27 < \mu < 102.53$

This interval means that there 95% confidence that the true mean is within this interval

Yes i would agree with my friend because the lower and the upper limit 95% confidence interval for mean points scored at home is greater than 98 points

Step-by-step explanation:

From the question we are told that

The sample size is n = 20

The sample mean is $\mu = 100.4$

The standard deviation is $\sigma = 4.86$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{ \sqrt{n} }$

substituting values

$E = 1.96 * \frac{ 4.86 }{ \sqrt{20 } }$

$E = 2.13$

The 95% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

substituting values

$100.4 - 2.13 < \mu < 100.4 + 2.13$

$98.27 < \mu < 102.53$

5 0

4 years ago

Which of the following sets of ordered pairs represents a function?

Zinaida [17]

Shouldn't the answer be: (-1,4),(1,4),(2,4),(-2,4)

8 0

3 years ago

Read 2 more answers