Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer:
Option C. 1,024 bacteria
Step-by-step explanation:
We are given that a bacteria culture begins with 4 bacteria which double in size every hour. And we have to find that how many bacteria exist in the culture after 8 hours;
So, Number of bacteria after one hour = 4 * 2 = 8
Number of bacteria after two hours = 8 * 2 = 16
Number of bacteria after three hours = 16 * 2 = 32
Number of bacteria after four hours = 32 * 2 = 64
Number of bacteria after five hours = 64 * 2 = 128
Number of bacteria after six hours = 128 * 2 = 256
Number of bacteria after seven hours = 256 * 2 = 512
Number of bacteria after eight hours = 512 * 2 = 1,024
Therefore, 1,024 bacteria exist in the culture after 8 hours .
2r-20 is the answer combining the like terms and solving.
Answer:
$3.50 each
Step-by-step explanation:
First subtract the drink price from the total,$8.50-$1.50=$7. then divide that amount by 2 since he got 2 burgers. $7/2=$3.50.Each burger is $3.50.
Answer:
The cosine of the angle is: negative
The sine of the angle is: positive
Step-by-step explanation:
