Answer:
-5.44
Step-by-step explanation:
multiply add negative sign
Answer:
see below
Step-by-step explanation:
Vertical angles are formed by two lines and are opposite each other
Vertical angles are equal
Be sure to include the "=" sign: <span>f(x) = 2^x -7
To find the x-intercepts, set f(x) = 0 and solve for x: 2^x - 7 = 0,
or
2^x = 7
Take the common log of both sides: x log 2 = log 7
log 7
Solve for x: x = --------- = 2.81 (approx)
log 2
</span>
Answer:
3. 
2<em>C.</em> 
2<em>B.</em> 
2<em>A.</em> 
1. ![\displaystyle Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Set-Builder%5C%3ANotation%3A%20%5Bx%7C7%2C%200%20%E2%89%A0%20x%5D%20%5C%5C%20Interval%5C%3ANotation%3A%20%28-%E2%88%9E%2C%200%29%20%E2%88%AA%20%280%2C%207%29%20%E2%88%AA%20%287%2C%20%E2%88%9E%29)
Step-by-step explanation:
3. <em>See</em><em> </em><em>above</em>.
2<em>C</em>. The keyword is ratio, which signifies division, so you would choose "III.".
2<em>B</em>. The keyword is percent, which signifies multiplication of a ratio by 100, so you would choose "I.".
2<em>A</em>. The keyword is total, which signifies addition, so you would choose "II.".
1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:
![\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2%20-%207x%20%5C%5C%20x%5Bx%20-%207%5D%20%3D%200%3B%207%2C%200%20%3D%20x%20%5C%5C%20%5C%5C%20Set-Builder%5C%3ANotation%3A%20%5Bx%7C7%2C%200%20%E2%89%A0%20x%5D%20%5C%5C%20Interval%5C%3ANotation%3A%20%28-%E2%88%9E%2C%200%29%20%E2%88%AA%20%280%2C%207%29%20%E2%88%AA%20%287%2C%20%E2%88%9E%29)
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Given:
The growth of a sample of bacteria can be modeled by the function

where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,

Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.



Therefore, the number of total bacteria after 3 hours is 119.1016.