7,5 move 4 units left and 1 unit down
2 answers:
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Answer:
y = -5x - 3
Step-by-step explanation:
To answer this the slope must be clculated first
slope equation:
these variables symbolize ordered pairs, and the best part is that you can use any two ordered pairs for this example we can use (-5, 10) and (-3,0)
we'll call the first ordered pair 1 so x1 = -5 and y1 = 10.
the next odered pair is 2 so x2 = -3 and y2 = 0.
With this information layed out we can solve:
0 - 10 = -10
-3 - (-5) = 2 --- remember negatives cancel each other out to make a positive
= -5
the slope of the line is -5. Now the next thing to note is that one of the ordered pair (-3,0) is a y intercept. It's time to introduce the equatione of a line:
y = mx+b
There are other equations that can be used for a line but with the info given this equation best suits the data.
m = slope
y and x = are the ordered pair you can input into the equation to slove
b = the y intercept
So the equation would be:
y = -5x - 3
The linear function showing the cargo ship’s path on the map is given at the image at the end of the answer.
<h3>What is a linear function?</h3>The slope-intercept representation of a linear function is given by the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are explained as follows:
- m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.
- b is the y-intercept of the function, representing the numeric value of the function when the input variable x assumes a value of 0.
In this problem, the function is given as follows:
y + 20 = -2x.
In slope-intercept format, the function is:
y = -2x - 20.
This means that:
- When the longitude is of 0, the latitude is of 20. (passing through Mali).
- Due to the negative slope, the line is decreasing.
Hence the line is presented on the image given at the end of the answer.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
d. both the slope and price elasticity of demand are equal to 0.
Step-by-step explanation:
In order to graph the demand curve, the quantity demanded is plotted along x-axis and the price is plotted along y-axis. An image attached below shows the horizontal demand curve.
Horizontal demand curve, as its name indicates, is a horizontal line which is parallel to x-axis. Since, the slope of any line parallel to x-axis is 0, we can conclude that the slope of Horizontal demand curve is 0.
A horizontal demand curve can be observed for a perfectly competitive market. Since, its a perfect competition, the price of a product by all competitors will be the same. In this case, if a firm decides to increase the price, he will loose his market share as no customer will buy the product at increased price. They will rather go with the other competitor who is offering a similar product at lower price.
On the other hand, if a competitor decides to lower his price in such case, he will experience loss. Therefore, the competitors do not have the option to change the price. Therefore, we can say the price elasticity of demand in this case is 0.
So, option D describes the horizontal demand curve correctly.
The first step to solving this problem is to calculate the cube root. The first step to calculating this is to take the root of the fraction and then take the root of both the numerator and denominator separately. This will look like the following:
![\frac{ \sqrt[3]{-64} }{ \sqrt[3]{125} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B-64%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B125%7D%20%7D%20)
An odd root of a negative radicand is always negative,, so the top of the fraction will need to change to the following:
![\frac{- \sqrt[3]{64} }{ \sqrt[3]{125} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%20%5Csqrt%5B3%5D%7B64%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B125%7D%20%7D%20)
For the bottom fraction,, you must write it in exponential form.
![\frac{- \sqrt[3]{64} }{ \sqrt[3]{ 5^{3} } }](https://tex.z-dn.net/?f=%5Cfrac%7B-%20%5Csqrt%5B3%5D%7B64%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B%205%5E%7B3%7D%20%7D%20%7D%20)
Now write the top expression in exponential form
![\frac{- \sqrt[3]{ 4^{3} } }{ \sqrt[3]{ 5^{3} } }](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%20%5Csqrt%5B3%5D%7B%204%5E%7B3%7D%20%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B%205%5E%7B3%7D%20%7D%20%7D%20)
For the bottom of the fraction,, reduce the index of the radical and exponent with 3.
![\frac{ - \sqrt[3]{ 4^{3} } }{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%20%5Csqrt%5B3%5D%7B%204%5E%7B3%7D%20%7D%20%7D%7B5%7D%20)
Now reduce the index of the radical and exponent with 3 on the top of the fraction.
Lastly,, use
to rewrite the fraction.
This means that the correct answer to this question is option A.
Let me know if you have any further questions
:)
An odd root of a negative radicand is always negative,, so the top of the fraction will need to change to the following:
For the bottom fraction,, you must write it in exponential form.
Now write the top expression in exponential form
For the bottom of the fraction,, reduce the index of the radical and exponent with 3.
Now reduce the index of the radical and exponent with 3 on the top of the fraction.
Lastly,, use
This means that the correct answer to this question is option A.
Let me know if you have any further questions
:)