Answer:
(x-3), 4 (x - 3)^2 (x + 3) (2 x + 7)
Step-by-step explanation:
Factor all the expressions,
1st expression= 4x^2 - 36=4(x^2-9)=4(x+3)(x-3)
2nd expression=2x^2 - 12x + 18 =2(x^2-6x+9)=2 (x - 3)^2=2(x-3)(x-3)
3rd expression=2x^2 + x - 21=(x - 3) (2 x + 7)
HCF=Commo factor=(x-3)
LCF=Common factor*Remaining factor=4(x+3)(x-3)(x-3) (2 x + 7)=4 (x - 3)^2 (x + 3) (2 x + 7)
Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.
Answer:
THank u so much for the free points
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
First square area = 4cm^2, thus the side length is 2cm
Second square area = 16cm^2, thus the side length is 4cm
This gives a ratio of 2/4, simplifying yields 1/2
Answer:
58.6 degrees
Step-by-step explanation: