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trasher [3.6K]
3 years ago
12

How do u Graph Y<-1/4x-1

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

When you replace the comparison symbol (<) with an equal sign (=), you get the equation of a line in slope-intercept form:

... y = mx + b

where <em>m</em> is the slope, and <em>b</em> is the y-intercept.

Your equation has m = -1/4 and b = -1. To graph this line, find the point (0, -1) on the y-axis. To find another point on the line, you can use the slope value (rise/run = -1/4), which tells you the line "rises" -1 for each "run" of +4. That is, another point on the line will be 4 units to the right and 1 unit down, at (4, -2). Working in the other direction (to the left, instead of to the right), the -1/4 slope tells you the point 4 units left and 1 unit up (-4, 0) will also be on the line. <em>Draw a dashed line through these points,</em>

The dashed line you just drew is the boundary of the solution region. It is dashed because the line itself is not part of the solution. (Those points do not meet the requirement for "less than.")

Appropriate values of y are ones that are <em>less than</em> those on the line, so the solution region is indicated as being the half-plane <em>below</em> the line. You indicate this by shading the solution region. (See the attachment for an example of the way this can be graphed.)

_____

If the comparison is ≤ instead of <, then the line is solid (not dashed), indicating it is part of the solution region. If the comparison is > or ≥, then the shaded region is <em>above</em> the line, where y-values are greater than those on the line.

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solong [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
The mean of a data set of 6 numbers is 8. The mean of a different data set of 6 numbers is 20. Whats the mean of the combined da
Aleksandr [31]

HERE IS YOUR ANSWER HOOMAN:

8

STEP BY STEP EXPLANATION FAM:

We have a set of four numbers and the mean is 5. We can see that the sum of the values is 20:

\frac{20}{4}=5

We have another set of three numbers whose mean is 12. We can write that as:

\frac{36}{3}=12

To find the mean of the seven numbers together, we can add the values together and divide by 7:

\frac{20+36}{7}=\frac{56}{7}=8

HOPE DIS HELPED FAM  

w(゚Д゚)w

3 0
3 years ago
translate into an algebraic expression and simplify if possible. what number exceeds m by five more than n
Kisachek [45]

Answer:

If the number is x, then the equation is;

x-m = 5 + n

Step-by-step explanation:

Here, we want to write the given statement in algebraic form

What number exceeds m by five more than n

Let the number be x

x-m = n + 5

8 0
3 years ago
Pls help, u dont have to explain that much​
Anettt [7]

Answer:

it will be equal to

12x {}^{3}

okay....

Step-by-step explanation:

volume of a cuboid = l × b × h

( where l = length, b = width , h = height )

so volume of given cuboid = ( 3x × 2x × 2x )

hence volume =

{12x}^{3}

5 0
3 years ago
How does multiplying both the dividend and the divisor by a factor of 10 sometimes make a problem easier to solve?
Mandarinka [93]
Because the divider and dividend are actually smaller then factors
5 0
3 years ago
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