Answer:
x>-9
Explanation:
move constant to the right
x+2>-7
calculate
x>-2-7
x>-9
the reason you flip the sign is because you multiplied with a negative number. always flip sign if the number you are either multiplying or dividing by is a negative. if it is positive then keep the sign the way it is.
<span>y(t) = a exp(3t) + b exp(4t)
conditions, y(0) = 3
y'(0) = 3
y(0) = a exp(3 x 0) + b exp(4 x 0)
= a exp(0) + b exp(0)
= (a x 1) + (b x 1)
= a + b
y'(0) = 0
so the linear equation is, a + b = 3</span>
Let the numbers = x,y
x+y = 56 1st eqn
x+5y = 192 2nd eqn
56-y+5y = 192
4y = 136
y = 34
substitute that in 1st eqn, x = 56-34 = 22
So, smaller number = 22 & Larger number = 34
Answer:
3
Step-by-step explanation:
6^2=5^2+b^2
36=25+b
36-25=b
B= square root of 9
B= 3
A half-life of 9 minutes corresponds to a decay factor <em>k</em> such that
Then the time it takes for the substance to decay from 610 g to 124 g is time <em>t </em>such that
Solve for <em>t</em> :
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
