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
stealth61 [152]
1 year ago
9

Solve the system of equations graphicallySolution=?

Mathematics
1 answer:
BigorU [14]1 year ago
3 0

The given system is

\begin{cases}y=\frac{5}{2}x-8 \\ y=-\frac{1}{2}x-2\end{cases}

Given that y = y, let's combine the equations

\frac{5}{2}x-8=-\frac{1}{2}x-2

Let's solve for x

\begin{gathered} \frac{5}{2}x+\frac{1}{2}x=8-2 \\ \frac{6}{2}x=6 \\ 3x=6 \\ x=\frac{6}{3} \\ x=2 \end{gathered}

Then, we find y

y=-\frac{1}{2}x-2=-\frac{1}{2}\cdot2-2=-1-2=-3

The solution is (2, -3).

The image below shows the solution graphically.

You might be interested in
You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec
elena-14-01-66 [18.8K]
The probability that you will guess the first answer correctly  =  1/2  =  0.5
The probability that you will guess the second answer correctly  =  1/2  =  0.5
The probability that you will guess the third answer correctly  =  1/2  =  0.5

The probability that you will guess all three answers correctly is

                (0.5) x (0.5) x (0.5)  =  0.125  =  12.5% .

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

Here are all the ways your answer sheet could wind up:
(R = a right answer.  W = a wrong answer.)

W W W 
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions:  1 way
Number of possible ways to score 1 right out of 3 questions:  3 ways
Number of possible ways to score 2 right out of 3 questions:  3 ways
Number of possible ways to score 3 right out of 3 questions:  1 way

Statistically, if your answers are all pure guesses, 
then on the average, the score you expect is

      (0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

   =                  400 / 8

   =                      50%  .  

If you're happy with that score, great !  
Go to the movies the night before the test,
and start guessing.


5 0
3 years ago
"The product of four and a<br> number is more than ten."<br> ( write as an inequality thx)
lubasha [3.4K]

Answer:

4x > 10

Step-by-step explanation:

4x > 10

6 0
3 years ago
3 X 5 power or 2
Ainat [17]
225 3x5 is 15 and to the power of 2 is 15x15 so multiply and you get 225 hope it helps
5 0
4 years ago
Find the difference:
brilliants [131]
The answer is A

Sine you are subtracting,
x-x=o
1- -8 =9 since subtracting a negative is adding a positive.
So the answer is 9/x-1
3 0
3 years ago
Read 2 more answers
A meatloaf recipe calls for 7/8 cup of bread crumbs for the loaf and the topping.If 3/4 cup is you for the loaf what fraction of
cupoosta [38]
3/4 can be converted to eighths by multiplying by 2/2 to get 6/8. 7/8 - 6/8 = 1/8 So 1/8 of a cup is for the topping.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Factor x^3 2x^2-29x-30
    5·1 answer
  • A line that includes the points ( 1 , g ) and ( - 3 , - 2 ) has a slope of - 1. What is the value of g ?
    15·1 answer
  • Please help, On a map 1 inch equals 14.4 miles. If two cities are 1.5 inches on the map, how far are they actually apart ?
    9·2 answers
  • G( x)=sqrt(3x) find g'(x)
    15·1 answer
  • Given DA=5, A F=8, KE=x, and EF=12. What must the value of x be in order to prove AE||KD?​
    15·1 answer
  • Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?
    7·1 answer
  • What is 2x=y-10 <br> x+7=y
    15·1 answer
  • 185 - y = 67 x 2<br> Pls help
    11·1 answer
  • Solve for y 32=2y+10
    6·1 answer
  • Solve 1/3 (3x + 6) + 2x = 26
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!