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: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
-6
(I don’t understand what you mean by on & 5 but..)
Step-by-step explanation:
The two negatives (the -(- ) cancel each other out and make a postive, so
-18 + 12 = -6
90-7x3
90-21=69
Ther you go have a great day
Answer:
step 1. y - y1 = m(x - x1). this is the equation given a point and a slope.
step 2. find the slope m. m = (y2 - y1)/(x2 - x1) = (4 - (-4))/(0 - 2) = 8/-2 = -4.
step 3. y - (-4) = -4(x - 2) ; y + 4 = -4x + 8.
step 4. y = -4x + 4.