1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Graph the system of equations on your graph paper to answer the question.
Aneli [31]
I’ll give you the answer later
7 0
2 years ago
The width,w, of a rectangular garden is X -2 the area of the garden is X^3-2X-4 what is an expression for the length of the gard
slamgirl [31]
A=lw \Rightarrow l=\frac{A}{w}
A - area, l - length, w - width

w=x-2 \\&#10;A=x^3-2x-4 \\ \\&#10;l=\frac{x^3-2x-4}{x-2}=\frac{x^3-2x^2+2x^2-4x+2x-4}{x-2}=\frac{x^2(x-2)+2x(x-2)+2(x-2)}{x-2}= \\&#10;=\frac{(x^2+2x+2)(x-2)}{x-2}=x^2+2x+2

The answer is D. x²+2x+2.
3 0
3 years ago
Read 2 more answers
Mark got 20% raise for his salary. If this salary was $1800 what is the new salary
elena-14-01-66 [18.8K]
Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

= 360.

Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D


7 0
3 years ago
111 is what percent of 300
andrey2020 [161]
100%/x%=300/111(100/x)*x=(300/111)*x 100=2.7027027027*x    100/2.7027027027=x 37=x x=37% 
8 0
3 years ago
THE RIGHT ANSWERRRRRR
Mkey [24]
Area of semicircle = 1/2 the area of a circle:
A_{sc}=\frac{1}{2}  \pi  r^{2}
radius is half the diameter of 6ft.
A_{sc} = \frac{1}{2}  \pi  (3^{2} )=14.13 ft^{2} .
Area of the rectangle:
A_{r} =lw=15*6=90 ft^{2} .
Add the two together:
90 + 14.13 = 104.13
Round to the nearest tenth (one decimal place)
Area = 104.1 square feet.

4 0
3 years ago
Other questions:
  • Igloos Unlimited charges $150 per night, with a 50% discount every night after the third night. If you stay for eight nights, ho
    14·1 answer
  • Suppose that circles A and B have a central angle measuring 75°. Additionally, circle A has a radius of 5 2 feet and the radius
    12·1 answer
  • If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5
    8·2 answers
  • Solve: 5x + 4 &lt; 3 – 3x
    12·1 answer
  • The eighth grade girls basketball team played a total of 13 games this season if they scored a total of 364 points what was thei
    12·2 answers
  • 2. Sandy made a reflective sticker for her bicycle in the shape of a triangle. Two of the three side lengths were 3 cm and 4 cm.
    12·1 answer
  • Which of the following measurements is greater?
    15·1 answer
  • For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
    12·1 answer
  • Is this right?? if not help please!!
    14·1 answer
  • Two-thirds of a number is equal to negative one-fifth. what is the number?​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!