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
Tju [1.3M]
3 years ago
10

4x + y< 2

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

The two inequalities can be rewritten as

\begin{cases}y-2\end{cases}

The solution is composed by every point below the graph of the line y=-4x+2, and above the horizontal line y=-2

To draw the line y=-4x+2 we can build a little table (only 2 points are required):

\begin{array}{c|c}x&y\\0&2\\1&-2\end{array}

So, if you draw the points (0,2) and (1, -2) and connect them, you'll have your line.

To draw the line y=-2, simply pick any point with y coordinate -2, for example (0, -2), and draw a horizontal line.

Choose the above/below areas as specified above to solve the system.

You might be interested in
Got another question for you lovely folk, don’t understand how to do this one either
Brrunno [24]

Answer:

97.12°

Step-by-step explanation:

the value of the highlight angle =

tan~¹ 1/3 + tan~¹ 5/1 =

18.43° + 78.69° = 97.12°

7 0
2 years ago
−15x + 60 ≤ 105 AND 14x + 11 ≤ −31
almond37 [142]
Answer:

1. -15x + 60 <= 105 2. 14x + 11 <= - 31

Step-by-step explanation:
1. x> = - 3
2. x <= - 3

Isolate the variable by dividing each side by factors that don't contain the variable
5 0
3 years ago
Read 2 more answers
Which graph represents the solution set of the system of inequalities? {x+y&lt;12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

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

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
2 years ago
Read 2 more answers
The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?
Dafna1 [17]

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

7 0
3 years ago
Students of the film academy asked a group of random people about their favorite film of all time. The following graph shows the
astraxan [27]

Answer:

The answer would be 25%

Helps this helps!

8 0
3 years ago
Other questions:
  • The average lifetime of a set of tires is 3.4 years. The manufacturer will replace any set of tires failing within three years o
    8·1 answer
  • What is (-1 1/2) (-1 1/2)?
    7·2 answers
  • Find the sum or difference.
    12·1 answer
  • Which equation can be used to solve for x in the following diagram?
    13·2 answers
  • Please help and explain!
    11·1 answer
  • Simplify <br> 4(xy^2)^3 x (2x^3y)^2
    5·1 answer
  • !!!!!!!!!!PLEASE HELP!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Question 10 What best describes Theoretical Probability? A.) Flipping a coin once to see if it's a heads or tails. B.) Using mat
    10·1 answer
  • A) Create a Venn Diagram that shows the relationship between A, B, and the Universal Set.
    13·1 answer
  • Given LMNP ∼ QRST, find RS.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!