Hello,
f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)
lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11
Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11
at point(1,-7)
Answer:
vertical angles or opposite angles
Step-by-step explanation:
Answer:
<em>The concentration of the new mixture is 46%</em>
Step-by-step explanation:
The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:
5*2/100=0.1 fl. oz.
The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:
11*66/100=7.26 fl. oz.
The total alcohol in the mixture is
0.1 + 6.6 = 7.36 fl. oz.
The total amount of the mixture is:
5 + 11 = 16 fl.oz.
The concentration of the new mixture is:
7.36 / 16 * 100 = 46%
The concentration of the new mixture is 46%
Step-by-step explanation:
4(3x-1)=9-x
12x-4=9-x
12x+x=9+4
13x=13
x=13/13
x=1
Answer:
5.68 x 10^5
Step-by-step explanation:
(5.3 x 10^5) + (3.8 x 10^4)
= 10^4 [(5.3 x 10) + 3.8]
= 10^4 (53 + 3.8)
= 10^4 (56.8)
= 56.8 x 10^4
= 5.68 x 10^5
