Answer:
Michael is 21 years old while Jean is 7 years old.
Step-by-step explanation:
Given that Micheal is three times as old as Jean, but in seven years he will be twice old as she will be, to determine how old are they both at this time, the following calculation must be performed:
M = 3J
M + 7 = 2J + 7
7 = 1/3
7 x 3 = 21
21 + 7 = 28
7 + 7 = 14
21 / 7 = 3
28 / 14 = 2
Therefore, Michael is 21 years old while Jean is 7 years old.
I=prt
I=1640*0.06*6/12=49.2
A=1640+49.2=1,689.2
The answer is B.
This is because A is incorrect, Zach number of minutes didnt increase by an equal factor every month.
C and D are incorrect, Victoria's methods aren't exponential, but Zach's are.
So that leaves the only reasonable answer which is B.
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
-5a^2 - 7a = -a x (5a + 7)
let me know if you have any other questions
:)
