7.5" if the width is now 18 that means its value increased by 3 so multiply 2.5 by 3 and its = to 7.5
Answer: Choice A) 1/9
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Work Shown:
Replace every x with -4 and then simplify the right side
f(x) = 9(3)^x
f(-4) = 9(3)^(-4)
f(-4) = 9*(1/(3^4)) See note below
f(-4) = 9*(1/(3*3*3*3))
f(-4) = 9*(1/81)
f(-4) = 9/81
f(-4) = 9/(9*9)
f(-4) = 1/9
Note: I used the rule x^(-n) = 1/(x^n) which allows us to convert from negative exponents to positive ones.
Answer:
Concept: Modeling expressions
- We are given the equation
- We want to find the time after 0.75 seconds given that t is represented in seconds.
- Hence we do
- Hence we get the answer to 191 feet
<span>Let the original number of seats in a row be x;
</span>Let the number rows be y;
( x + 3) * (y - 2 )= 72 and x * y = 72 => 72 + 3 * y - 2 * x = 72 => 3 * y = 2 * x;
=> x is divisible by 3;
1. x = 3 => y = 72 / 3 => y = 24;
2. x = 6 => y = 72 / 6 => y = 12;
3. x = 9 => y = 72 / 9 => y = 8;
4. x = 12 => y = 72 / 12 =. y = 6;
5. x = 24 =. y = 72 / 24 => y = 3;
6. x = 36 => y = 72 / 36 => y = 2;
7. x = 72 => y = 72 / 72 => y = 1;
My analysis tell me that the right answer is 9 seats in a row and 8 rows;
The original number in each row is 9.
It looks like the pattern is x 10, because that's how you get from 0.02 to 0.2. So, the pattern would go 0.02, 0.2, 2, 20, 200, 2000, etc.
