Here the only limitation on the domain exists when the denominator is equal to zero, as division by zero has no meaning and is not "allowed" because of its meaninglessness. :)
Factor the denominator to find the excluded values of x...
3x^2+5x-12
3x^2+9x-4x-12
3x(x+3)-4(x+3)
(3x-4)(x+3)
So x CANNOT equal 4/3 or -3 (all other real values of x are part of the domain) so the domain is:
x=(-oo, -3),(-3, 4/3),(4/3, +oo)
8 + 0.4 + 0.07 + 0.008 is your answer. But all you had to do is separate your numbers with working on the biggest number to the smallest number.
20+j*2
Ye, that's about right aye
Answer:
Simon: 55 hours
Alvin: 70 hours
Theodore: <u>159</u> hours
Total: 284 hours
Step-by-step explanation:
Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.
We are told that:
A = S + 15,
T = 3S - 6
and
A + S + T = 284
Note that the first two equations state the value of A and T in terms of S. Let's use them in the third equation, so that we'll have only one unknow:
A + S + T = 284
(S + 15) + S + (3S - 6) = 284
5S + 9 = 284
<em><u>S = 55</u></em>
Now use this value of S in the first two equations to find A and T:
A = S + 15
A = 55 + 15
<u><em>A = 70</em></u>
T = 3S - 6
T = 3*55 - 6
<em><u>T = 159</u></em>
<u></u>
<u>(55 + 70 + 159) = 284</u>
<u></u>
as the angle made by diameter of circle to any point on the circle is of 90°
hence,
53y -16 = 90
53y= 106
y = 2
❤
