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2 years ago

What is the equation of the line that is parallel to y =1/5x+4

Mathematics

1 answer:

atroni [7]2 years ago

7 0

Answer:

y=(1/5)x-5

Step-by-step explanation:

The given equation is

y=(1/5)x+4

This is of the form

y=mx+b

which is called the slope-intercept form because

m is the slope

b is the y intercept.

In this case,

m=1/5

b=4

you can see from the chart that this matches the red line.

If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that

y=(1/5)x+b

Since the line must go through the point (5,-4), we have

-4=(1/5)(5)+b

-4=1+b

b=-5

So, the desired line is

y=(1/5)x-5

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elena-s [515]

Answer:

domain: all real numbers, (-∞, ∞)
range: all real numbers, (-∞, ∞)
maximum: +∞
minimum: -∞

Step-by-step explanation:

The function is an odd-degree polynomial. The domain and range of any odd-degree polynomial is (-∞, +∞). It has no finite maximum or minimum.

There are 3 local maxima, and 3 local minima. The ones that are non-zero are irrational. Those are about -150.018, -580.455, and 578.545. If you're seriously expected to solve for these values, no doubt you have been given a method for doing so. Use that method.

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3 years ago

PLEASE HELP ME SOLVE FOR X

jeka57 [31]

Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says

$\dfrac x3=\dfrac{x+2}{x+4}$

Solve for $x$ :

$x(x+4)=3(x+2)$

$x^2+4x=3x+6$

$x^2+x-6=0$

$(x+3)(x-2)=0$

Then either $x=-3$ or $x=2$ , but since $x$ is a length, it must be positive. So <em>x</em> = 2.

8 0

2 years ago

Ralph Chase plans to sell a piece of property for $155000. He

Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000 (1)

Also:

0.1a + 0.08b = 14100 (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

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2 years ago

Which of the following ratios will form a proportion with 2/3

Olenka [21]

6/15 and 12/18 are ratios of 2/3

6 0

3 years ago

Read 2 more answers

Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers

ella [17]

Answer:

The Relative Frequency Table is:

<u> Manufacturer Relative Frequency </u>

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

3 0

2 years ago