Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
3x^2 + 6x - 10 = 0
x = [-6 +/- sqrt(^2 - 3*3*-10)] / 2*3
= 1.08 and -3.08
Other x -intercept is (-3.08,0)
(t + 8) (-2) = 12
Distributive property >>> -2t + -16 = 12
Inverse operation >>>> -2t + -16+16 = 12+16
Simplify >>>> -2t = 28
Divide >>>> -2t/-2 = 28/-2
Final answer >>>> t = -14
Answer:
60%
Step-by-step explanation:
we know that
the price per share of a stock decreased from $90 per share to $36 per share
In this problem
$90 represent the 100%
so
using proportion
Find out what percentage represent the difference of ($90-$36)
($90-$36)=$54
Let
x ----> the percentage of the difference
Solve for c :
x⁴ + cx² + 100 = 0
cx² = -(x⁴ + 100)
c = - (x⁴ + 100)/x²
If x = 0, the right side is undefined and c would have no solution.
