You can break the equation into two groups:
6a² + 5a - 6
(9a - 6) + (6a² - 4a)
Simplify:
(9a - 6)
3(9a - 6)
(3a - 2)
--------------------------
(6a² - 4a)
2a(6a² - 4a)
(3a - 2)
--------------------------
(3a - 2)(2a+3)
You can't simplify any further, so that will be your answer.
Answer:
(2a + 3)(3a - 2)
Okay so this means g(x) is 12 times f(x)
g(x)=f(12x)= 12(6x-10)
g(x)=72x-120
Answer:
11. x= 117 and y =57
12. 9
13. 900 degrees
Step-by-step explanation:
11. Y can be found using supplementary angles. 123+y = 180 since they form a straight line. This means y=57. The inside of a quadrilateral is equal to 360 degrees. This means 117+69+57 +x=360. Then 243+x=360 and x= 117.
12. The exterior angles of a polygon with n sides is 360/n. Since we don't know n but we do know the angle is 40 degrees, we write 360/n=40. Solve for n.
360/n=40
360=40n
360/40=n
n= 9
13. This figure is a regular sides polygon. It has 7 sides and therefore 900 degrees.
The value of x is -1.596
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
Let us solve using change of base formula log base b of y equals log y over log b
From given,
Therefore,
Let us simplify the above
Substitute the values
ln 7 = 1.9459101490553132
ln 2 = 0.6931471805599453
Therefore,
Thus solution for x is found
54 : 18 = 6 : 2
18 x 3 = 54
2 x 3 = 6