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
Ivanshal [37]
2 years ago
12

The graphs of the equations $y=3x-20$ and $y=-2x+10$ intersect at the point $(6,-2)$. Without solving, find the solution of the

equation $3x-20=-2x+10$.

Mathematics
1 answer:
Maru [420]2 years ago
4 0

Answer:

The solution is

\boxed{x=6,y=-2}

Step-by-step explanation:


The given equations are


y=3x-20


and

y=-2x+10


The graph of the two equations intersects at (6,-2) as show in the graph in the attachment.


The point of intersection of the two graphs is the solution to system of equations.

Hence the solution is

x=6,y=-2

You might be interested in
A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
qaws [65]

Answer:

  a) Y(x) = {900, x≤30; 900-40(x-30), x>30}

  b) T(x) = {900x, x≤30; 2100x-40x², x>30}

  c) dT/dx = {900, x≤30; 2100-80x, x>30}

Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.

__

b) The yield per acre is the product of the number of trees and the yield per tree:

  T(x) = x·Y(x)

\displaystyle T(x)=\left \{\begin{array}{lcl}900x&\text{for}&x\le 30\\2100x-40x^2& \text{for}&x>30\end{array}\right.

__

c) The derivative is ...

\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.

6 0
3 years ago
-8 - 1/3n ≤ - 25<br><br> Please show the equation and steps please
sergey [27]

Answer:
-8 - 1/3n ≤ - 25
solving-n E [51,+oo] , {n|n ≤ 51}
answer-n  ≤ 51

Step-by-step explanation:

I hope its help
Brainliest me pls
#CARRYONLEARNING

3 0
2 years ago
Read 2 more answers
Will adding a negative number to another integer always result in a negative sum? Why?
Ghella [55]

Answer:

  D  No, the integer with the larger absolute value always determines the sign of the sum.

Step-by-step explanation:

Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, <em>the number in the sum that has the largest absolute value determines the sign of the result</em>. (This is most important when the signs differ, but it is also true when the signs are the same.)

7 0
3 years ago
Show that a²x²-ax+1=0 can never have real roots​
Fed [463]

Answer:

I guess you are a futarian

Step-by-step explanation:

6 0
3 years ago
Edgar Elementary
kirza4 [7]

Answer:3333

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Need help pls someone
    8·1 answer
  • I need help I don't understand it
    15·1 answer
  • If you work 5 hours 2 days a week how much money will you be making
    7·1 answer
  • Help please. Screenshot included.
    14·1 answer
  • If a sprinkler waters 1/12 of a lawn in 1/4 hour, how much time will it take to water the entire lawn?
    11·2 answers
  • Which statement is true ?
    9·1 answer
  • Applying properties to write equivalent expressions for 2x+5y+5(2x+5y)
    7·1 answer
  • Translate each expression
    15·1 answer
  • Write the equation in slope- intercept form<br><br> 4x+2y=12 <br><br> Thanks!
    10·1 answer
  • Find the distance between two points <br> (4,6) and (4,-2)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!