Answer:
-2x+3(-5x+1)=-2x+(-15x+3)
=-2x-15x+3
=-17x+3
-5/3a+1/8-1/6a-1/2=-5/3a-1/6a+1/8-1/2
=-40/24a-4/24a+3/24-12/24
=-44/24a-9/24
=-11/6a-3/8
3(1/5x-1/7)=3/5x-3/7
Hence, ans: C
-1.5w+7.5=1.5(-w+5)
=-1.5(w-5)
Hence, ans: A
F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for:
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).
Answer:
x = log 7
Step-by-step explanation:
10^x=7
Take the log base 10 on each side
log10 (10^x)=log10 (7)
We dont need to write the 10, it is implied
log(10^x)=log (7)
The exponent goes out front since log a^b = b log a
x log 10 = log 7
log 10 = 1 since the base is 10 log10(10) =1
x = log 7
First put the numbers in order to find the median:
26, 27, 28, 32, 32, 33, 35, 36, 38, 40, 42, 48
The number in the middle will be the median. In this case, there is an even number of data points so we will have to average the two numbers in the middle:
33 + 35 = 68...68/2 = 34. Therefore the median is 34
Now to get the inequality, add and subtract 6 from 34:
34 + 6 = 40
34 - 6 = 28
So the inequality is:
28 < x < 40
