Answer:
x= -1, y = -1
Step-by-step explanation:
-16x +24y = -8
16x -8y = -8
16y = -16
y=-1
16x = -16
x = -1
For this case we must factor the following expression:

We rewrite the middle term as a sum of two terms whose product is

And whose sum is

These numbers are:
-5 and -3
So:

We factor the maximum common denominator of each group:
We take common factor

Answer:

Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
Let's consider that number to be 'x'..
So, twice the number (2x) is 12 greater than than the half of the number.
So the equation will be like,
2x=12+x/2
Solving this further,
2x=(24+x)/2
=> 4x=24+x
=>4x-x=24
=>3x=24
=>x=8..
So the number is "8".
Answer:
51.81 cm^2
Step-by-step explanation:
Find The Half Of 33 which is 16.5
Use The Formula For Area
A=
x r^2
A= 3.14 x 16.5
A= 51.81 cm^2