We have by the intermediate value theorem that if a continuous function takes values both above and below zero at 2 points, there is a zero of the function in-between. We have that polynomials are continues. Let's calculate f(-6) and f(-5). f(-6)=-36 while f(-5)=-1. Thus, we cannot conclude that there is a root between them.
F(-2)=8, f(-1)=-1, so there is a flip; a zero must exist between them.
F(1)=-1, f(2)=20, so again there is a change of signs.
f(-5)=-1, f(-4)=14 so there is a root still.
We have that the only choice that does not have a root between the integers is choice a.
Answer:
R = 8,228,571.43 (Approx)
Step-by-step explanation:
Given:
R = x²/y
x = 4.8 x 10⁵
y = 2.8 x 10⁴
Find:
Value of R
Computation:
R = x²/y
R = (4.8 x 10⁵)²/ (2.8 x 10⁴)
R = 23.04 x 10¹⁰ / (2.8 x 10⁴)
R = 8.22857.. x 10⁶
R = 8,228,571.43 (Approx)
Answer:
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Step-by-step explanation:
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Answer:
2x(3y-4x)
Step-by-step explanation:
6xy - 8x^2
Factor out the greatest common factor of 2x
2x*3y -2x*4x
2x(3y-4x)