1. 14/3
2. 9
4. 5
5. 15
(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)
Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.
f(x) = 40(.85)^x
x y
1 34
2 28.9
3 24.57
4 20.88
5 17.75
<span>graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis</span>
The number . . . . . N
The difference of the number and 9 . . . N-9
Seven times that difference . . . . . . . 7(N-9)
You said that 7(N-9) = 2 .
Divide each side by 7 : N - 9 = 2/7
Add 9 to each side: N = 9 and 2/7
Remark
The upper answer is correct. Any time you are dealing with addition or subtraction and one of the numbers is irreducible and remains irrational no matter what you do, then the entire addition or subtraction of terms remains irrational.
For the second one that you did not answer, it works the same way as the comment says.
3√2 * 8√18 give two numbers that can be multiplied under the square root sign.
3*8 = 24
√(2*18) = √(36) = 6
The answer is 24*6 = 144
This procedure is the only way I know that you can get a rational result from two irrational factors. In fact it is really quite useful to know. You will use this when you learn how to rationalize the denominator. This exact method is used to do that.
Answer:
A. 15
B. 16
C. 21
Step-by-step explanation:
A. ((3x5)/2)x2 = 15
B. ((4x2)/2)x4 = 16
C. 5x5 - 2x2 = 21
