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:
ok
Step-by-step explanation:
Answer:
Total amount Omar earn = $120
Step-by-step explanation:
Given:
Total amount Omar, Hala and Lujain got paid = $240
Ratio of money Omar, Hala and Lujain got paid = 5:9:10
Find:
Total amount Omar earn
Computation:
Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]
Total amount Omar earn = [240][5 / (5+9+10)]
Total amount Omar earn = [240][5 / (24)]
Total amount Omar earn = [24][5]
Total amount Omar earn = $120
6x−12+2x=3+8x−15
Simplify:
6x+−12+2x=3+8x+−15
(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)
8x+−12=8x+−12
8x−12=8x−12
Subtract 8x from both sides.
8x−12−8x=8x−12−8x
−12=−12
Add 12 to both sides.
−12+12=−12+12
0=0
The real numbers are the only solution we can have.
