I hope this helps you
2x+x-10=4
3x=14
x=14/3
y=14/3-10
y=14-30/3
y=-16/3
It is a geometric mean sequence.
the 2nd term is 20, the 5th term is 0.16
so the next 3 terms are found by multiplying successive terms by the constant x. 20x^3 = 0.16 which is derived by multiplying 20 by x, three times to get 0.16
So x^3 =.008
x=0.2
The first term is found by saying a1^.2 = 20, so a1 = 100
When n = 1 2 3 4 5
t(n) = 100 , 20, 4, .8, .16
Answer:
Poor Alex, I know how they feel, I got a dog myself.
The amount of time between
11:41 pm to 12:09 am is
19 minutes (to 12 am, 60 minutes to next hour) + 9
which is 28 minutes for the first dog barking session
the second time is 35 minutes,
using same method as before.
adding the two separte barking sessions we get
35+28= 63 minutes
which is equivelant to 1 hour and 3 minutes.
In conclusion the dog barks for 1 hour and 3 minutes in total.
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
