Answer:
Step-by-step explanation:
6x + 10y = 12
-20x - 10y = 30
-14x = 42
x = -3
4(-3) + 2y = -6
-12 + 2y = -6
2y = 6
y = 3
(-3, 3)
The standard form of the quadratic function in this problem is given as follows:
y = -0.25(x² - 4).
<h3>How to define the quadratic function?</h3>
The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
Considering it's roots x' and x'', the definition are given as follows:
y = a(x - x')(x - x'')
In which a is the leading coefficient.
From the table given by the image at the end of the answer, the roots are given as follows:
x' = -2, x'' = 2.
(as they are the values of x for which y = 0).
Then:
y = a(x + 2)(x - 2)
y = a(x² - 4).
When x = 0, y = 1, hence the leading coefficient is given as follows:
1 = -4a
a = -1/4.
a = -0.25.
Hence the equation is of:
y = -0.25(x² - 4).
<h3>Missing Information</h3>
The table is given by the image shown at the end of the answer.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer: jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Step-by-step explanation:
Answer:
(2x+5)/(x²-3x) - (3x+5) / (x³-9x) - (x+1) / (x²-9) = (x+5)(x+2) / (x³-9x)
Step-by-step explanation:
(2x+5)/(x²-3x) = (2x+5) /x(x-3) = (2x+5) (x+3) / (x (x+3) (x-3)) = (2x²+11x+15) / (x³-9x)
(3x+5) / (x³-9x)
(x+1) / (x²-9) = (x+1)*x / (x²-9)* x = (x²+x) / x³-9x
(2x+5)/(x²-3x) - (3x+5) / (x³-9x) - (x+1) / (x²-9) = (2x²+11x+15-3x-5-x²-x) / (x³-9x)
= (x²+7x+10) / (x³-9x)
= (x+5)(x+2) / (x³-9x)
Answer:
The student must pay 4247.5 - 4000 = 247.50 dollars in interest
Step-by-step explanation: