since the numerator is x² + 5x - 3, and therefore has a degree of 2, whilst the denominator, 4x¹ - 1, has a degree of 1, therefore, there's no horizontal asymptote.
recall, we only get a horizontal asymptote if the denominator's expression degree is equals or greater than that of the numerator's.
Answer:
b = 0.35 ; c = 2.03
Step-by-step explanation:
tan = opposite/hypotenuse
Therefore, tan (10) = b/2
b = 2 tan (10) = about 0.35
Use the Pythagorean theorem to find that c = 2.03
Answer:
$691.20
Step-by-step explanation:
640 * 1.08 = 691.2
Answer:
Step-by-step explanation:
it is maximum.
when leading coefficient of x² is negative,
It is downward parabola.
or
y=-2x²+10x+1
=-2(x²-5x+(-5/2)²-(-5/2)²)+1
=-2(x-5/2)²+2×25/4+1
=-2(x-5/2)²+25/2+1
=-2(x-5/2)²+27/2
maximum value of y is 27/2 and is attained at x=5/2
vertex is (5/2,27/2)
I assume your "reasons" mean "roots" or "zeros"
if 3 is a root, plug x=3 in the equation, you can find n:
3²+(n-1)*3+6=0
3(n-1)=-15
n-1=-5
n=-4
Plug n=-4 in the original equation: x²-5x+6=0
factor: (x-3)(x-2)=0
x=3, which we already know
or x=2, which is the value of m+4
m+4=2
m=-2
