Answer:
the system of equations has infinite solution
Step-by-step explanation:
Reese states that the system of equations has no solution because the slopes are the same. Describe Reese’s error. ( y=−3x−1 ), ( 3x+y=−1 )
Solution:
The equation of a straight line graph is given by:
y = mx + b, where m is the slope of the line and b is the y intercept.
A system of linear equations has no solution when the graphs are parallel, that is they have the same slope and different y intercept.
A system of linear equations has infinite solutions when the graphs are the exact same line, that is they have the equal slope and equal y intercept.
The first equation: y = -3x - 1 has a slope of -3 and y intercept of -1.
The second equation: 3x + y = - 1; i.e. y = -3x - 1 has a slope of -3 and y intercept of -1.
Since both equations have equal slope and equal y intercept, hence both equations are infinite solutions.
Therefore the statement that the system of equations has no solution is wrong.
Answer:
Option b
Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.
Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
9 = 3(2) + 1
9 = 7 {not true}
Since the second ordered pair does not make the equation true, this is not the correct answer.
Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
7 = 3(2) + 1
7 = 7 {true}
y = 3x + 1
19 = 3(6) + 1
19 = 19 {true}
Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.
Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.
y = 3x + 1
-1 = 3(0) + 1
-1 = 1 {not true}
Since the first ordered pair given does not make the equation true, this is not the correct answer.
Answer:
FA = 25.87
Step-by-step explanation:
Given: BD = 30 , DF = 5 , EF = 16
To find: FA
Rectangular box is a Cuboid.
Figure attached.
AB = FE = 16
So,
In ΔADB
using Pythagoras theorem,
Again using Pythagoras theorem in Δ ADF we get
Therefore, FA = 25.87
It would be $45. The equation is 500×0. 06×1.5