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3 years ago

Choose the equation of the horizontal line that passes through the part point (1,-5)

Mathematics

2 answers:

vladimir2022 [97]3 years ago

4 0

We know is a horizontal line, so, if it passes through 1,-5, it also passes through "whatever", -5, like 20, -5 or 1000000, -5, or -100000000, -5 and so on.

so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 1 &,& -5~) 
% (c,d)
&&(~ -7 &,& -5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-(-5)}{-7-1}
\\\\\\
\cfrac{-5+5}{-7-1}\implies \cfrac{0}{-8}\implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=0(x-1)
\\\\\\
y+5=0\implies y=-5$

Natalija [7]3 years ago

3 0

The answer is A. Y=-5

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Write an expression that is equivalent to (4x + 9)

zalisa [80]

As this is already in its simplest form, I believe the only other expression is 4*X +9

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3 years ago

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Can someone help with this!

Sveta_85 [38]

In the given image, $a_{23}$ is 5. The correct option is the first option 5

<h3>Matrix notation</h3>

From the question, we are to determine which entry in the given matrix represents $a_{23}$

NOTE: For any entry denoted as $a_{mn}$ , it represents the entry in the <em>m</em>-th row and <em>n</em>-th column.

Thus,

$a_{23}$ represents the entry in the 2nd row and 3rd column.

In the given image, the entry in the 2nd row and 3rd column is 5.

Hence, in the given image, $a_{23}$ is 5. The correct option is the first option 5

Learn more on Matrix notation here: brainly.com/question/2382978

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2 years ago

What is (f - g)(x)?<br>f(x) = 5x<br>g(x) = 3x2 - 8x

erma4kov [3.2K]

Answer:

$(5x)-(3x^2-8x)=-3x^2+13x$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)$

Using this, we can subtract and find the answer.

$(5x)-(3x^2-8x)=-3x^2+13x$

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3 years ago

) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

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3 years ago

F(x)=5-1/5x What are the x and y intercepts?

Bogdan [553]

Answer:

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Y intercepts none

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3 years ago