Answer:
-81
Step-by-step explanation:
-6(2x² + 5x) - 9
substitute -4 for 'x'
-6[2(-4)² + 5(-4)] - 9
-6[2(16) + (-20) - 9]
-6(32 - 20) - 9
-6(12) - 9
-72 - 9 = -81
Answer:
Step-by-step explanation:
<u>Given formula:</u>
- G(t)= 63000(1 + 0.0255/4)^4t
<u>Need to find the value of t when G(t) = 150000</u>
- 150000 = 63000( 1+ 0.0255/4)^4t
- ( 1+ 0.0255/4)^4t = 150000/63000
- ( 1+ 0.0255/4)^4t = 2.3809
- 4t* log( 1+ 0.0255/4) = log 2.3809
- 4t *0.00275983965 = 0.37674115501
- t = 0.37674115501/(4*0.00275983965)
- t = 34.13 years rounded
Answer:
x=6, y = -9
Step-by-step explanation:
6x + 2y = 18
-4x - 2y = -6
Add the two equations together to eliminate y
6x + 2y = 18
-4x - 2y = -6
------------------------
2x +0y = 12
Divide by 2
2x/2 = 12/2
x = 6
Then find y
6x+2y = 18
6*6 +2y = 18
36+2y = 18
Subtract 36 from each side
36+2y-36 = 18-6
2y = -18
Divide by 2
2y/2 = -18/2
y = -9
Answer:
(4^-3)(x^-3) y^(18)
or
y^18/ (64 x^3)
Step-by-step explanation:
(4xy^-6)^-3
Distribute the exponent to all terms in the parentheses
(4^-3)(x^-3) (y^-6)^-3
a^ b^c = a^ (b*c)
(4^-3)(x^-3) y^(-6*-3)
(4^-3)(x^-3) y^(18)
If we do not want negative exponents
a ^ -b = 1/ a^b
y^18/( 4^3 x^3)
y^18/ (64 x^3)
