Answer:
N = 14348907
Step-by-step explanation:
81^5 = 3486784401
3486784401/243 = 14348907
Double Check
3486784401 / 14348907=243
So N = 14348907.
4+x+2-2x=5
-x+6=5
-x+6-6=5-6[tex]
-x/-1 = -1/-1
x+1
Answer:
D. 150 feet
Step-by-step explanation:
The formula for the area of a rectangle is: area = lw, where l = length and w = width. In this case, the length is defined as '90 feet more than twice the width' or l = 2w + 90. If we put this expression in for the value of 'l' in our formula for area we get:
area = w(2w +90), distribute: area = 2w² + 90w = 58500
Subtracting 58500 from both sides, we get the following polynomial:
2w² + 90w - 58500
We can divide all the terms by '2' to simplify:
w² + 45w - 29250
Next, we look for the two factors of 29,250 that will add up to 45, which is -150 and +190 to factor our polynomial:
(w - 150)(w + 190) = 0
Setting both equations equal to 0 and solving for w:
w - 150 = 0 or w = 150
w + 190 = 0 or w = -190
Since our with can not be negative, then the correct width of the field is 150 ft.
The reciprocal of a number is the number that the first number will multiply with that equals one.
So, for instance, the reciprocal of 3 is 1/3.
Since we can write 3 as 3/1, we can see it's simply flipping the numerator and denominator to find the reciprocal.
So, flipping numerator and denominator, the reciprocal of 31/2 is 2/31.
<span> | 9 - 3g | ≤ 12
This is an example of absolute equality
it could be solved as follows:
9-3g </span>≤ 12 and -(9-3g) <span>≤ 12
</span>
-9+9-3g ≤ 12-9 and -9+9+3g <span>≤ 12+9
</span>
-3g ≤ 3 /-3 and 3g <span>≤ 21 /3
-1 </span>≤ g and g≤ 7
so the interval [-1,7] is the solution to your inequality
hope that helps
