A' : -1, 3
B': 1, 2
C': 1, 5
Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
27.7-14=Cost above 500 msg
13.7=C
E=number of Extra messages sent
C=0.1E
13.7/0.1=E
137=E
Total messages=T
T=500+E
T=500+137
T=637
Danielle sent 637 messages in September
Answer:
C. x=5/2
Step-by-step explanation:
-2x+10x=34-14
(8x=20 ) /:8
x=5/2
<span>8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
</span><span><span><span>(8) </span><span>(<span>−8</span>) </span></span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>−64 </span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>8y </span>− 64 </span>= <span>−<span>48
</span></span>-----------------------------------------
Add 64 to each side
<span><span><span>8y </span>− 64 </span>+ 64 </span>= <span><span>−48 </span>+ 64
</span><span>8y </span>= <span>16
</span>---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = <span>2
</span>----------------------------------------------------------------
y = 2 is your answer
