It is a good thing to remember. Of course, not all, but some basic numbers that appear all the time such as the numbers from 2 to 13 should be remembered as they appear in numerous assignments and tests.
Answer:
P(x) = (x-1)² (x-3)
Step-by-step explanation:
P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)
P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)
Answer:
Step-by-step explanation:
Given points are 
And given transformation is 
We will start from left to right.
First transformation is reflection about x-axis.
When we reflect about x-axis 
So, ![(-1,-8)=[-1,-(-8)]=(-1,8)](https://tex.z-dn.net/?f=%28-1%2C-8%29%3D%5B-1%2C-%28-8%29%5D%3D%28-1%2C8%29)
Now next transformation is dilation with a factor 4.
If we do dilation with a factor 
to the point 
New co-ordinates after dilation became 
So, 
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
Answer:
If the increases are roughly the same, then linear is best. If the multiple factor is roughly the same, then an exponential is best. If the rate at which the increase increases is roughly the same (so A-B=1, B-C=3 C-D=5.2), then quadratic is best.
Step-by-step explanation:
