Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3
Answer: 23/18
Step-by-step explanation:
Step-by-step explanation:
x° + (x - 34)° = 180°. (C-angles)
Thereforr 2x - 34 = 180 and x = 107.
x° = 107°.
(x - 34)° = 73°.
Answer: 25%
Step-by-step explanation: The question tells us that the population decreases by 1/4 every single year. That means, since 1/4 equals .25, the population decreases by 25% every year :)