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
Andrei [34K]
3 years ago
13

A system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?

Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

The answer that gives the best estimate is (1,1)

Step-by-step explanation:

i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y

 intercept or c_{1} = -1. Therefore the equation for this line can be written as

 y = m_{1} x + c_{1}    ⇒    y = m_{1} x - 1 . It can also be seen from this graph that the

 line passes through the point (2 , 2). Substituting these values for x and y  

 respectively we get  2 = 2m_{1} - 1    ∴ m_{1} = \frac{3}{2}.  The equation of the first line

 can be written as y = \frac{3}{2} x - 1   ⇒ 2y - 3x = -2

ii) As can be seen on the other line the intercept on the y axis is at (0,2). So

  the y  intercept or c_{2} = 2. Therefore the equation for this line can be  

  written  as  y = m_{2}x + c_{2}    ⇒    y = m_{2} x + 2 . It can also be seen from this  

   graph that  the  line passes through the point (1 , -1). Substituting these

   values for x and  y   respectively we get  1 = 1m_{2} + 2    ∴ m_{2}  = -1 .  The

   equation of the second line  can be written as y = - x + 2   or x + y = 2

iii) Solving the two equations of the two lines respectively as found in i) and

  ii)  we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and  

  when we add this to equation in i) we get 5y = 4 which means that y = 0.8.

  If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.

iv) Therefore we get the solution of the two lines, which is the intersection

    of the two lines as (1.2, 0.8). So the answer that gives the best estimate

    is (1,1)

You might be interested in
You are about to toss
Reil [10]

Answer:

sffewetgryhntrfvrfvfewragtehyrnmhnsgbfvdsfsegrtew

3 0
3 years ago
Use the stem and leaf plot shown to answer the following question.
DENIUS [597]
16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46

37 is the upper quartile value
6 0
2 years ago
Are the triangles congruent, if so by what theorem/postulate
liberstina [14]

Yes, SSS

PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.

4 0
3 years ago
insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 91 of
ss7ja [257]

Answer: (13.22\%,\ 19.34\%)

Step-by-step explanation:

Given : Sample space : n= 559

Sample proportion : \hat{p}=\dfrac{91}{559}=0.162790697674\approx0.1628

=16.28\%

Significance level : \alpha= 1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Confidence level for population proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.1628\pm (1.96)\sqrt{\dfrac{0.1628(1-0.1628)}{559}}\\\\=0.1628\pm0.030604971367\\\\\approx 0.1628\pm0.0306=(0.1322,\ 0.1934)=(13.22\%,\ 19.34\%)

Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.= (13.22\%,\ 19.34\%)

7 0
3 years ago
What is the sum of the geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 2) (negative 3) Sup
belka [17]

Answer:

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

Read more on Brainly.com - brainly.com/question/14504382#readmore

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the solution of log2x − 6 (256) = 4?
    12·2 answers
  • How to solve a system of equations using elimination
    14·2 answers
  • 1.) What is m∠PTS?<br><br> 2.) What is the value of x?
    9·2 answers
  • NEED HELP EXPLAIN PLEASEEE
    15·1 answer
  • Y-2=6x-4 in standard form
    11·1 answer
  • What's the property known as a=b, b=c, so a=c?
    6·1 answer
  • Do you know 3 prime numbers that equal 32
    15·2 answers
  • I literally have no idea how to do this help...
    10·2 answers
  • You can spend at most $50 on party snacks. You have spent $13 so far. Select an inequality that represents the additional amount
    15·2 answers
  • during their Christmas party, teacher Beth gave her student a total of 319 candies she gave each one of them with 4 chocolate ca
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!