The system of equations that can be used to determine the number of tetra fish and goldfish purchased is:
x = 2 y. 2 x + 1.5 y = 20
<h3>What are the system of equations ?</h3>
In order to determine the required values, two linear equations would be formed from the question. The two equations would exhibit the relationship between the two types of fishes:
The first equation would show the ratio between the two types of fishes bought: 2y = x
Th second equation would show the total cost of the two type of fish:1.5y + 2x = 20
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Answer:
It is Commutative
Step-by-step explanation:
An operation ∆ is said to be Commutative if a∆b=b∆a ∀ a,b ∈ ℝ.
Given the operation ∆ defined by:
a∆b=a X b
a∆b=
=3
Similarly, for the right hand side.
Therefore:
b∆a=
=3
These are the two ways of solving this problem and we have in fact shown that the operation is commutative as:
a∆b=b∆a=3
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Answer:
slope-intercept form y= -2/3 x + 490 slope is -2/3 y intercept is (0.490)
Step-by-step explanation:
2x+3y= 1470
3y= 1470-2x
y= 1470/3- 2/3 x
y= -2/3 x+ 490
slope is -2/3 and y intercept is 490 when x =0
the graph represent the amount of sandwiches that Sal's shop sold, where x is the number of sandwiches and y is the number of wraps sold. so that x won't exceed 735 sandwiches : 0≤x≤735 and 0≤ y≤490.
<u>total profit is 1593.</u>
2x+3y= 1593
y= -2/3 x + 531
similar : the two functions have the same slope -2/3
difference: 0≤ y≤531
0≤x≤796.5
the two line are parallel
There is no solution to this system of equations because they both have the same slope.
If two lines have the same slope, but are not identically the same line, then they will never intersect. There is no pair (x, y) that could satisfy both equations, because there is no point (x, y) that is simultaneously on both lines. Therefore, these equations are said to be inconsistent, and there is no solution.
