Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
2 divides both numbers, so divide both numbers by 2 to get 3 and 7. These are relatively prime, so 2 is the gcd. The lcm is 6*14/2=42.
Answer: 400 Miles
Step-by-step explanation:
Okay to find the answer you must use how many gallons he has already used which is 12 Gallons.
They say the average is 0.03 Gallons per Mile.
You divide 12/0.03 to get 400 Miles. (:
Answer:
The velocity in meter per seconds is 76.9m/s
Step-by-step explanation:
The total distance walked is 1000m
Velocity= distance/time
= 1000/13
= 76.9m/s
The speed and velocity is used interchangeably therefore the speed is also 76.9 m/s
Answer:
(7v +3 ) ( v + 4 )
Step-by-step explanation:
7v^2+31v+12
(7v + ) ( v + )
12 = 1*12
2*6
3*4
7* 4 + 3 = 31
(7v +3 ) ( v + 4 )
