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
matrenka [14]
1 year ago
10

Determine if (−2,4) is a solution to the following system of inequalities.-3x > -7y -37x > -5y -4

Mathematics
1 answer:
nikklg [1K]1 year ago
5 0

Remember that ordered pairs are written in the form (x,y).

Then, to check if (-2,4) is a solution to the system of inequalities, both of the given inequalities should be verified when replacing x=-2 and y=4.

Replace x=-2 and y=4 into the inequalities and check if both of them are satisfied or not.

-3x > -7y - 3

\begin{gathered} \Rightarrow-3(-2)>-7(4)-3 \\ \Rightarrow6>-28-3 \\ \Rightarrow6>-31 \end{gathered}

Sice 6 is greater than -31, then this inequality is satisfied by (-2,4).

7x > -5y-4

\begin{gathered} \Rightarrow7(-2)>-5(4)-4 \\ \Rightarrow-14>-20-4 \\ \Rightarrow-14>-24 \end{gathered}

Since -14 is greater than -24, then this inequality is satisfied by (-2,4).

Since both inequalities are satisfied by (-2,4) then (-2,4) is a solution to the given system of inequalities.

You might be interested in
You estimate that there are 75 marbles in a jar. The actual amount is 82 marbles. Find the percent error
Vikentia [17]

Answer:

Percent Error:: 12/36 = 33 1/3 %

Step-by-step explanation:

5 0
3 years ago
ADante begins to evaluate the expression 3 1/3 × 51/4 using the steps below. Which could be his next step?
antiseptic1488 [7]

Answer:

31/3 ×51/4

527/4

Step-by-step explanation:

4 0
3 years ago
D(1) = 1.<br> d(n) = n.d(n-1), for n &gt; 2
melamori03 [73]

Answer:

Step-by-step explanation:

You are stupid

8 0
2 years ago
Read 2 more answers
A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
Please help me on this one
Annette [7]
Divide $435.15 by 9    = $48.35 unit price
3 0
3 years ago
Read 2 more answers
Other questions:
  • Solving two step equations: <br> -3k = -5k <br> Find "k"
    9·1 answer
  • A semi circle has a radius of 5cm. What is the area of the semi circle?
    5·1 answer
  • For what values of x is x2 + 2x = 24 true?
    10·2 answers
  • If you're feeling generous today thank you!
    6·1 answer
  • What are the graph line points?!!<br> Please Helpp!
    11·2 answers
  • Would this be X = 5. HElp asap
    6·1 answer
  • 100 POINTS! PLEASE HELP ME
    13·2 answers
  • I WILL LITERALLY LOVE YOU THIS IS DUE TONIGHT PLEASEEE
    9·1 answer
  • You get 75 point for answering 15 question you get 70 points for answering 14 questions is this fair
    13·2 answers
  • X -10 -3 4 11<br> y 1 6 30 120<br><br> Is the relationship linear, exponential, or neither?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!