Answer:
The correct answer is B) 102
Step-by-step explanation:
{-4x+7y+5=-5
{0x-3y=-5 Solve the equation.
{-4x+7y+5=-5
{y=5/3 Substitute the value of y.
-4x+7(5/3)+5=-5 Plug in and solve.
x=65/12 You should get this answer.
Therefore: (x,y) = (65/12,5/3)
Given:
Zero: 2, multiplicity: 3
Zero: 0, multiplicity: 2
Degree: 5
Leading coefficient = 1
To find:
The polynomial function.
Solution:
The general form of a polynomial is

where, a is a constant,
are zeroes with multiplicity
.
Using the given information and the general form of a polynomial, we get



Leading coefficient is 1, so the value of a is also 1.


Therefore, the required polynomial is
.
Real: 3 & 5
natural: 0 & 4
Integers: -8 & 2
Rational: 7/8 & 1 6/7
Irrational: -6.28628... & 8.14...
Answer:
Value of x for fg(x)=gf(x) at <em>f(x) = 2x²</em> and <em>g(x) = x+1</em> is x = -1/4 .
Step-by-step explanation:
We have, f(x) = 2x² and g(x) = x+1
Now, f(g(x)) = g(f(x))
⇒ <em>2(x+1)² = 2x² + 1</em>
<em>⇒ 2( x² + 2x + 1 ) = 2x² + 1</em>
<em>⇒ 2x² + 4x + 2 = 2x² + 1</em>
<em>⇒ 4x = -1</em>
<em>⇒ </em><em>x = -1/4</em>