We have that
f(x) = (x – 5)³(x + 2)²
we know that
<span>the roots can touch or cross the x axis
</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.
(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
therefore
the answer is<span>
the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure
Answer:
(1, No, No) (2, No, Yes) (3, 6x^2+10) (4, 2x^2-3) (5, x^2-x) (6, -2x^4+12x+3)
(7, 3x^3+15x^2+20) (8, 9x^3 + 4x^2+8x) (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.
Step-by-step explanation:
Answer:
x1=2 x2=-5
Step-by-step explanation:
Key term "Reflected", which is equivalent to "inverse". This means that the graph, although remains with the same points, is "reflected". Think of a mirror.
Say y = m(x). The reflected result is y = -m(x). Or in another case, y = m(-x) will be reflected to y = m(x).
Lets break this rule further. Say your point was (a,b) which is code for (x,y). If we're looking at the x-axis, the y becomes negative. Henceforth, it becomes (x,-y) and vice versa.
In this case, we're looking at the y-axis reflected, meaning, the x-value will be NEGATIVE.
Answer is C: m(x) - 5() -x This can be seen as m(x) = m(-x) as well.
Answer:
72
Step-by-step explanation:
Jeff can divide the coin evenly in 6 or 9 bags, so the number of coin should have 9 and 6 as the factor. The lowest common factor for 6 and 9 will be:
6= 2 x 3
9= 3^2
LCF= 2 x 3^2= 18
From here you need to find the common multiple of 18 that will have 2 remainder after divided by 5. When 18( divided by 5, it will left 3 as remainder.
Multiple of 3 that give 2 remainder after divided by 5 will be 3x4= 12. Then least coin Jeff should have will be: 4x18= 72