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
Kipish [7]
3 years ago
7

Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 8x+4 intersect are the solutions o

f the equation 2−x = 8x+4. part
b.make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3. part
c.how can you solve the equation 2−x = 8x+4 graphically?

Mathematics
1 answer:
Luda [366]3 years ago
4 0
Part 1)
We have two lines:  y = 2-x   and   y = 8x+4
Given two simultaneous equations that are both required to be true.
the solution is the points where the lines cross
Which is where the two equations are equal
Thus the solution that works for both equations is when
2-x = 8x+4
because
where that is true is where the two lines will cross and that is the common point that satisfies both equations.

Part 2) Make tables to find the solution to 2−x = 8x+4. take the integer values of x between −3 and 3

see the attached table
The table shows that none of the integers from [-3,3] work because in no case does
<span>2-x = 8x+4
</span>
To find the solution we need to rearrange the equation to the form x=n
2-x =8x+4
8x+x=2-4
9x=-2
x=-2/9

 The only point that satisfies both equations is
where
 x = -2/9
Find y:
   y = 2-x  = 2 - (-2/9) = 2 + 2/9 = 20/9
Verify we get the same in the other equation
y = 8x+4   =  8(-2/9) + 4 = 20/9 
Thus the only actual solution, being the point where the lines cross,
 is the point (-2/9, 20/9)------> (-0.22,2.22)

Part 3) how can you solve the equation 2−x = 8x+4 graphically?
<span>The point on the graph where the lines cross is the solution to the system of equations
</span>
using a graph tool
see the attached figure

the solution is the point (-0.22,2.22)

You might be interested in
A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviati
eduard
Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.

That is;
P(x<0.496) and P(x>0.504) are not acceptable.

Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707

Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099

Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%
6 0
3 years ago
Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts
natulia [17]

Answer:

On day 20, they should both be on page 200

Step-by-step explanation:

I set the 2 equations up:

10d=8d+40 and then subtracted 8d from both sides

2d=40 and then divided both sides by 2

d=20

I then took 20 and multiplied it by 10 for Ashley (200) and then multiplied it by 8 for Carly (160) and added 40 (200)

Hope this helps!

3 0
2 years ago
Rory's battery was full at 6:00 a.M, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three o
Taya2010 [7]

Complete question:

Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours.

Rory’s battery was full at 6:00 a.m, or t = 0. Which times could Rory's phone have been plugged into the charger? Select three options.

12:00 p.m.

3:00 p.m.

5:00 p.m.

8:00 p.m.

11:00 p.m.

The graph is attached

Answer:

3:00 p.m

5:00 p.m

11:00 p.m

Step-by-step explanation:

From the graph, there are rise times, fall times and there are times the movement is steady (no rise or fall).

The rise time represents the time the phone was plugged. The fall time represents when the charger has been unplugged so the battery level starts depreciating. When it is constant, it means the battery level is at 100 but the charger is still connected to the phone.

We are told at initial condition, time was 6 a.m (t = 0). To get the exact time, we are to add the initial condition, i.e 6

From the graph, the times the phone could have been plugged are 8:00 to 12:00 hrs and 16:00 to 20:00 hrs.

Converting from 24 hr to 12 hr time, we have:

6 + 8hrs = 14:00 = 2:00 p.m

6 + 9hrs = 15:00 = 3:00 p.m

6 + 10 hrs = 16:00 = 4:00 p.m

6 + 11 hrs = 17:00 = 5:00 p.m

6 + 12 hrs = 18:00 = 6:00 p.m

6 + 16 hrs = 22:00 = 10:00 p.m

6 + 17 hrs = 23:00 = 11:00 p.m

6 + 18 hrs = 00:00 = 12:00 am

6 + 19 = 1 : 00 = 1:00 a.m

6 + 20 = 2:00 = 2:00 a.m

From the options given in the question, we have:

3:00 p.m; 5:00 p.m; 11:00 p.m

Therefore, times could Rory's phone have been plugged into the charger are:

3:00 p.m

5:00 p.m

11:00 p.m

5 0
3 years ago
X Y Whats the slope<br> 0 0<br> 3 1<br> 12 4<br> 21 7
Alex777 [14]

Answer:

1/3

Step-by-step explanation:

5 0
3 years ago
Solve for R. P=R−C What is R equal to?
kykrilka [37]

Answer:

R = P+C

Step-by-step explanation:

P = R-C

+C    +C

R = P+C

6 0
3 years ago
Other questions:
  • SOLVE THE EQUATION<br><br> 1/2x + 1/4x =16
    15·2 answers
  • Questions 13 and 17 if anybody knows ?
    12·1 answer
  • A rocket is travelling at a speed of 21,000 miles per hour (mph). Use the fact that 1 km is approximately equal to 0.6214 miles
    13·1 answer
  • 82 rounded to the nearest ten
    14·1 answer
  • Josh runs 3 miles in 25 minutes. At the same rate, how many miles would he run in 20 minutes?​
    10·2 answers
  • What is the expanded form for the following number? 3,721
    15·2 answers
  • My mama got me doing freaking school work pls help me out
    9·1 answer
  • I’m not smart so can someone help me
    10·1 answer
  • The wholesale price for a desk is $195 A certain furniture store marks up the wholesale price by 30% . Find the price of the des
    7·1 answer
  • A coffee cup collection includes four green cup, 8 blue cups, and two black cups. What is the probability of selection 2 black c
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!