6x + 4y = 2
3x + 2y = 1
A.
not enough information
B.
coincident
C.
consistent and independent
D.
inconsistent
Answer:
Step-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.
The answer is choice B). Coincident.
I hope it helps, Regards.
0 0
0.5 12
1 16
1.5 12
Use the table to complete the statements.
The height of the soccer ball above the ground is symmetric about the line t =
second(s).
The ball landed on the ground at t =
second(s).
you can see that the height is the same at 0.5sec and 1.5 sec (12ft)
so therefore the height is symmetric about the line t=(midpoint of 0.5 and 1.5)
(0.5+1.5)/2=2/2=1
so the height is symmetric about the line t=1
the ball lands on the ground when height=0
since it is symmetric about t=1, and at t=0, the height is 0
1-0=1, so the difference between symmetry and desired height is 1
we must go in the oposite direction to find the next 0 height
so from symmetry to 0 height is 1+1=2, so at t=2 seconds
Answer:
6,12
Step-by-step explanation:
Answer:
A
Step-by-step explanation: on edge
Can't give you an answer without the graph.
Answer:
-8x² + 28x - 20
Step-by-step explanation:
To simplify the expression A(x) = ( 2x - 5 )( x + 1 ) - ( 5x - 3 )( 2x - 5 ), you can start by using the distributive propertyto expand both sets of parentheses and then combine like terms:
A ( x ) = ( 2x - 5 ) ( x + 1 ) - ( 5x - 3 ) ( 2x - 5 )
( 2x - 5 ) ( x + 1 )
2x ( x ) + 2x ( 1 ) - 5 ( x ) - 5 ( 1 )
2x² + 2x - 5x - 5
( 5x - 3 ) ( 2x - 5 )
5x ( 2x ) + 5x ( -5 ) - 3 ( 2x ) - 3 ( -5 )
10x² - 25x - 6x + 15
2x² + 2x - 5x - 5 - ( 10x² - 25x - 6x + 15)
2x² + 2x - 5x - 5 - 10x² + 25x + 6x - 15
( 2x² - 10x² ) + ( 2x - 5x + 25x + 6x ) + ( -5 - 15 )
-8x² + 28x - 20
∴ A ( x ) = -8x² + 28x - 20
Answer: The answer is in the 1st image.
Explanation: The explanation is in the 2nd image.
The amount of milk that should be used to make 1/8 of the recipe is 1/20 and this can be determined by using the unitary method.
Given :
The recipe calls for 2/5 cups of milk.
The following steps can be used in order to determine the amount of milk that should be used to make 1/8 of the recipe:
Step 1 - The unitary method can be used in order to determine the amount of milk that should be used to make 1/8 of the recipe.
Step 2 - According to the given data, one recipe required 2/5 cups of milk.
Step 3 - The amount of milk required by 1/8 recipe is:
Step 4 - Simplify the above expression.
So, the amount of milk that should be used to make 1/8 of the recipe is 1/20.
For more information, refer to the link given below: