Answer:
3.6
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
4x4 + 32x - 28 = 0
Answer:
20 1/3
Explanation:
The second-degree polynomial function f(x) that has a lead coefficient of 4 and roots 5 and 2 is f(x) = 4x² -28x + 40. The correct option is the last option f(x)=4x²-28x+40
<h3>Quadratic equation</h3>
From the question, we are to determine which second-degree polynomial function f(x) has a lead coefficient of 4 and roots 5 and 2
To determine this, we will use the given roots to determine the equation
The roots are 5 and 2
Thus
x = 5 and x = 2
x - 5 = 0 and x - 2 = 0
Therefore,
(x -5)(x -2) = 0
Distributing
x(x -2) -5(x -2) = 0
x² -2x -5x + 10 = 0
x² -7x + 10 = 0
Now, multiplying through by 4, we get
4x² -28x + 40 = 0
Thus, the function becomes f(x) = 4x² -28x + 40
Hence, the second-degree polynomial function f(x) that has a lead coefficient of 4 and roots 5 and 2 is f(x) = 4x² -28x + 40. The correct option is the last option f(x)=4x²-28x+40
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The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
<h3>How to solve the variables?</h3>
<u>(1) y/3 + 6 = -3/2</u>
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
<u>(2) -2r/3 - 3 = 3</u>
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
<u>(3) 2/3 - 2x = x</u>
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
<u>(4) 7x/2 + -5/2 = 9/2</u>
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
Read more about fractions at:
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