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
Lana71 [14]
2 years ago
13

How do you Graph 3x+4y< -16 on the coordinate plane

Mathematics
1 answer:
Goryan [66]2 years ago
8 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Take note of the inequality symbol. It is < (not ≤), so the "equal to" case is not included. That means the line 3x+4y=-16 is not part of the solution set. That boundary line is graphed as a dashed line.

Take note of where the variables are in relation to the inequality symbol. Both are on the "less than" side, so the shading of the graph will be where the values of x and y are less than those on the boundary line. The boundary line has a negative slope, so the values less than those on the boundary are to the left and below the line.

Plot the dashed boundary line 3x +4y = -16, or y = -3/4x -4, and shade the area below and to its left.

You might be interested in
245 is a natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
koban [17]

Answer: Everything but "irrational number"

================================================

Explanation:

The number 245 is a natural number since the set of natural numbers is {1, 2, 3, 4, 5, 6, ...} basically the set of counting numbers. More technically, the set of natural numbers is the set of positive whole numbers.

The number 245 is also an integer. It does not have any decimal or fractional parts. The set of integers includes negative whole numbers as well.

The number 245 is a whole number for similar reasoning as it being an integer.

The number 245 is a rational number. Why? Because we can write 245 as 245/1. In other words, 245 = 245/1. Because we can form a fraction of two integers, this shows us 245 is rational. Note: 0 cannot be in the denominator.

The number 245 is NOT an irrational. If a number is rational, then it cannot be irrational. The very definition of "irrational" means "not rational". An example of an irrational number is sqrt(2). We cannot write this as a fraction of two integers.

The number 245 is a real number. If you haven't learned about complex numbers yet, then every number you encounter is a real number.

----------

To summarize, 245 is a natural number, a whole number, an integer, a rational number, and a real number.

A much shorter way to say this is "everything but irrational" since irrational is the only non-answer.

7 0
3 years ago
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
bonufazy [111]

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

3 0
3 years ago
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Solnce55 [7]

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

7 0
3 years ago
Abby takes a 75-centimeter by 40-centimeter rectangle of fabric and cuts from one corner of
Grace [21]

answer: 195cm

the photo should explain

5 0
2 years ago
HELP!!!!!!!Choose the graph that matches the following system of equations:
PolarNik [594]
The last one. And I did answer for you too.

4 0
3 years ago
Other questions:
  • Is depositing $85 in a bank account a positive or a negative number
    6·1 answer
  • Item 5Find the percent of the number.175% of 54 is .
    6·1 answer
  • Stanley drew a rectangle that was W inches wide.The expression (2w)+ 2(w) represents the perimeter of the rectangle Stanley drew
    7·1 answer
  • In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
    15·1 answer
  • If you drive at a speed of 50 mph how many hours will it take to drive 1340 miles
    15·1 answer
  • Help please! this is algebra. It says it needs to be in a fractional exponent form ONLY!​
    10·1 answer
  • Calculate the mean of the given data set. You must show your work to receive all possible points.
    15·1 answer
  • 31.5 x _____ = 464 2/4 HELPPPPPPPPPP ASAP
    5·1 answer
  • Space Shuttle Marion is observing the launch of a space
    11·1 answer
  • Pls answer pls pls plas
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!