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
zysi [14]
2 years ago
10

Please help solve questions

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
5 0

Answer:

<u>Given inequality</u>

\sf 2x + 3y < 6

<u>Rearrange to make y the subject</u>

\sf \implies 2x + 3y < 6

Subtract 2x from both sides:

\sf \implies 3y < -2x + 6

Divide both sides by 3:

\sf \implies y < -\dfrac23x + 2

<u>When graphing inequalities</u>

If the inequality sign is < or > then the line of the graph should be dashed.

If the inequality sign is ≤ or ≥ then the line of the graph should be solid.

If y < (less than) then the shading is below the line.

If y > (more than) then the shading is above the line.

Therefore, as the inequality is y < the line should be dashed and the shading should be below the dashed line.

To plot the line, substitute x = 0 and x = 3 into the equation:

\sf  \implies -\dfrac23(0) + 2=2

\sf  \implies -\dfrac23(3) + 2=0

Therefore, plot points (0, 2) and (3, 0).  Draw a dashed straight line through the points.  Shade below the dashed line.

Alekssandra [29.7K]2 years ago
4 0

Take some points

  • 2x+3y<6
  • 3y<-2x+6
  • y<-2/3x+2

As here < sign present line will be dashed and shading should be done below the line

So

  • (1,1)
  • (1,0)
  • (2,0)
  • (-1,2)

Graph attached

You might be interested in
Identify the x-intercepts of the function below f(x)=x^2+12x+24
damaskus [11]

<u>ANSWER:  </u>

x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

<u>SOLUTION:</u>

Given, f(x)=x^{2}+12 x+24 -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here, for (1) a = 1, b= 12 and c = 24

X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}

\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}

Hence the x-intercepts of  \mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})

8 0
3 years ago
Mars is extremely far from the Earth. Scientists estimate that it could take astronauts 245​​​​​​​ days to travel from Earth to
Ksivusya [100]

Answer:

Step-by-step explanation:

We would liken the given scenario to distance speed and time relationship. The formula for determining average speed is

Total Distance/ total time

Since the distance between Earth and Mars is 108 million miles(108 × 10^6) the trip takes 245 days, then on average, the number of miles that the astronauts would travel each day would be

108 × 10^6/245 = 440816 miles per day

Writing in powers of 10, it becomes 4.4 × 10^5 miles per day

Rounding to the nearest whole number, it becomes 4 × 10^5 miles per day

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=13%20%5Ctimes%2011%20%3D%3F" id="TexFormula1" title="13 \times 11 =?" alt="13 \times 11 =?" al
gizmo_the_mogwai [7]
13 multiplied by 11 is 143
7 0
3 years ago
How many solutions does 6 - 3x = 4 - x - 3 - 2x have?
White raven [17]

Answer:

No Solution

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x  (Given)

6 - 3x = -1 -3x (combine like terms)

7 (addition)

The x cancels each other out so no solution.

7 0
3 years ago
Simplify. 310−−√ please help me
slava [35]

Answer:

17.606

Step-by-step explanation:

root of 310  = 17.606

5 0
3 years ago
Read 2 more answers
Other questions:
  • Will give brainlist plz help its for my 9 week exam
    12·1 answer
  • What is the solution to -4 = 2 - 3/10p + 9
    14·2 answers
  • 20% of your customers Call back within 72 hours Of their first call. Of those who call back, 10% call back again within 96 hours
    9·2 answers
  • The graph below shows the relationship between the number of months different students practiced tennis and the number of matche
    13·2 answers
  • Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the follow
    5·1 answer
  • Will give brainliest if correct! Which of the following is not a solution to the inequality 3−(7−2x)&gt;−8?
    5·1 answer
  • In Store A, you can buy 3 notebooks
    6·1 answer
  • What is the length of AC?
    15·2 answers
  • Which figure has the largest area?
    7·2 answers
  • ANSWER I WILL GIVE BRAINLIEST
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!