Answer:
a = - 1.1
Step-by-step explanation:
The condition for a single variable function f(x) to be decreasing is f'(x) < 0.
f(x) = 4/x^2 - 6x + 9
Then, differentiating with respect to x on both sides we get,
f(x) = 4(-2)(1/x^3) - 6 < 0
-8/x^3 - 6 < 0
8/x^3 + 6 > 0
{Dividing both sides with - 1 and hence the inequality sign changes}
8/x^3 > -6
8 > - 6x³ {Multiplying both sides with x³}
6x³ > - 8 {Interchanging the sides}
x^3 > -8/6
⇒ x > - 1.1
So, a = - 1.1
What is this for ? is this spanish or what can u specify
Answer:
38 miles in 30 minutes
Step-by-step explanation:
To answer the question, we first want to find a common multiple of both numbers. The nearest is 60. Multiply each minute number to get to 60, multiply their other number by the same amount.
So, the first rate will travel 66 miles in 60 minutes while the second rate will travel 76 miles in 60 minutes. Therefore, the answer is the second option, 38 miles in 30 minutes.
Hope this helps! Let me know.
find the value of x. if x is 2 for example multiply that 6 times to find the numerator. 2 x 2 x 2 x 2 x 2 x2 = 64. multiply that with 3 which is 192. now to find the denominator you are going to multiply 2 three times. 2 x 2 x2 = 8. now divide the denominator with the numerator which equals 8.
Answer:
1 : 6
Step-by-step explanation:
Calculate the perimeter
perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30
perimeter = 18x + 30 ← take out a common factor of 6 from both terms
= 6(3x + 5)
ratio of width : perimeter
= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)
= 1 : 6
