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:What number must be multiplied by 3 to obtain 15? ... Example 11 A student solved the equation 5x - 3 = 4x + 2 and found an answer of x = 6. ... Example 12 3x = 6 and 2x + 1 = 5 are equivalent because in both cases x = 2 is a solution. ... + 3x = 7x + 2 - 4x can be changed to a simple equation x = 3, and the equation x = 3 is .
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
10 cubic feets volume is equivilant o 25.85 inches.
Answer:
The answer would be -4.
Step-by-step explanation:
This is because the product of a number and -3 must be 8 less than 20, which is 12. And -3 times -4 is 12.
Answer:
you have to make x-3 and x-7 equal to zero...
x = 3 or x=7
"A"
Step-by-step explanation:
