Answer:
-54 is a integer and rational number
Step-by-step explanation:
In order to factorate the trinomial, let's first find its roots using the quadratic formula:
![\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2-4ac%3D12%5E2-4%5Ccdot4%5Ccdot9%3D144-144%3D0%20%5C%5C%20x_1%3Dx_2%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cfrac%7B-12%2B0%7D%7B2%5Ccdot4%7D%3D-%5Cfrac%7B12%7D%7B8%7D%3D-%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Now we can write the trinomial in the form:
So we have that:
So 2x + 3 is a factor of the trinomial, therefore the answer is D.
To work this out you will need to find the lowest common factor of 4 and 10 since that is when you get there product and discount, therefore the lcm is 20, and therefore that is your answer (20)!
Answer: (a) 6760000
(b) 5760000
Step-by-step explanation:
Total letters in English alphabet = 26
Total digits = 10
Given: Each automobile license plate number consists of two letters followed by a four-digit.
(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10
= 6760000
(b) if the letters O and I are not used, total letters can be used ]= 26-2=24
Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10
=5760000
