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4 years ago

Given the following linear function sketch the graph of the function and find the domain and range.

Mathematics

1 answer:

kobusy [5.1K]4 years ago

8 0

Answer:

see the procedure

Step-by-step explanation:

we have

$f(x)=-3x+7$

This is the equation of a line in slope intercept form

where

$m=-3$ ----> the slope

$b=7$ ----> the y-coordinate of y-intercept

To graph the line find out the intercepts

The y-intercept is the point (0,7) ----> given value

The x-intercept is the point (2.33,0) ---> Remember that the x-intercept is the value of x when the value of the function is equal to zero

with the points (0,7) and (2.33,0) sketch the graph

using a graphing tool

Plot the points and join to graph the line

see the attached figure

The domain is all real numbers

The range is all real numbers

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Angel runs 4 miles per day.What is the relationship between the number of days and how many miles he has run?

forsale [732]

The answer is D. Ratio. When ever you see “per” another number it’s a ratio.

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3 years ago

Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor

Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

$\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48$

Now compute the value of margin of error as follows:

$MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03$

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the value of sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066$

Thus, the sample size used to compute the 95% confidence interval is 1066.

4 0

3 years ago

Which segment is an altitude of triangle IGH? (See attachment)

Reptile [31]

Answer: segment KH

Explanation:

The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.

Note that the altitude of a triangle can also be outside the area of the triangle.

If we look at the picture, we see that:

- IH is a side, so it is not an altitude of the triangle

- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it

- GJ: we don't know if it is an altitude, since we don't know if it forms a right angle or not

- GH: it is a side of the triangle, so it is not an altitude

So, the correct answer is segment KH.

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3 years ago

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Dmitrij [34]

Answer:

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Step-by-step explanation:

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Vadim26 [7]

Answer:

(7,2)

Step-by-step explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

x + y = 9

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Let's solve this system by elimination. Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y = 8

-------------------

5x = 35, so that x = 7. Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).

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3 years ago