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
mafiozo [28]
2 years ago
14

Is (2,3) a solution to the system of inequalities 4x+3y<20 10x+y>10

Mathematics
2 answers:
stiks02 [169]2 years ago
7 0
Yes it is a solution because if you take the equation and plug the point in for the x and y :

4 (2) + 3 (3) < 20 
 8 + 9 < 20 
17 < 20
which is true

10 (2) + (3) > 10
20 + 3> 10
23>10
which is also true
defon2 years ago
3 0
Hope this helps..... :)

You might be interested in
PLEASE HELP!!!!!
Zielflug [23.3K]
Question #1

Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5. So the y-intercept is 5.

Part B:
\sf Slope = \frac{27-5}{1-0} = \frac{22}{1} = \boxed{22}
The slope is 22.

Part C:
y = mx + b
y = 22x + 5

We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10

The domain is 10.



Question #2

Part A:

(2,255)
(5,480)

Standard form is Ax + By = C

\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{480-225}{5-2} = \frac{255}{3} = \boxed{85}

Let's plug this into this form first:
y - y_1 = m(x-x_1)\\\\y -225 = 85(x-2)\\\\y - 225 = 85x - 170\\\\y = 85x + 55

Now, let's make it into Standard Form.
y = 85x + 55\\\\y - 85x + 55\\\\ -85x + y = 55\\\\ -1(-85x +y) = -1(55)\\\\\boxed{85x - y = -55}
What, which is in the box, is your final answer. :)

Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:
\boxed{f(x) = 85x + 55}

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)
5 0
3 years ago
Each leg of a 45°-45°-90° triangle measures 12 cm what is the hypoyenuse
lubasha [3.4K]
To find the hypotenuse in a 45-45-90 triangle multiply the legs by \sqrt{2}
So...
The leg is 12 the hypotenuse is 12\sqrt{12}
5 0
3 years ago
$6 is what percent of $8?
iren2701 [21]
Hello there!
The answer to your question is 75%
If you multiply 8 × 75% it equals 6
So, your answer is 75%
Hope I helped!
3 0
3 years ago
Read 2 more answers
The lower the average monthly temperature, the higher the monthly heating bill.
sergejj [24]
The first option is correct
7 0
2 years ago
Can someone help with math?
algol [13]

Answer:

A. {4,3}

Step-by-step explanation:

x -2y = -2

    y = - 3x +15

x - 2(-3x+15) = -2

x +6x - 30 = -2

7x = 28

x = 4

y = - 3x +15 = - 3*4 + 15 = -12 + 15 = 3

{4,3}

5 0
3 years ago
Other questions:
  • Complete the synthetic division problem below. What is the quotient in polynomial form?
    5·2 answers
  • −9(t−2)=4(t−15) Pleasee Help Mee
    8·2 answers
  • Molly read 75 pages of the latest thriller mystery novel in 45 minutes. What is her unit rate? At the same rate, how long will i
    13·1 answer
  • forty percent of general hospital medical technologist are women. if there are 80 female medical technologist how many are male?
    10·2 answers
  • Kate wants to buy a scarf for $22. How much will the scarf cost if she buys it in Coconut Grove?
    10·1 answer
  • What are the coefficients of 4x -7 - 8x +17
    12·1 answer
  • Find the difference quotient for f(x) = x2 + 4.
    6·1 answer
  • What is the solution to A=7x+40
    7·1 answer
  • 6/5<br><br> 36/25<br> Find the 10th term.
    10·1 answer
  • Find the area of the circle. Round your answer to the nearest hundredth. Use. 3.14 or 22/7 for pi. 10 inch
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!