Step-by-step explanation:
√a is defined only when a >= 0.
Therefore for √4x * √(x + 2) to be defined, both 4x and x + 2 must be non-negative.
When 4x >= 0, x >= 0.
When x + 2 >= 0, x >= -2.
x >= 0 and x >= -2, therefore we have x >= 0. (D)
Answer:
x=7
Step-by-step explanation:
HI + IJ = HJ
3x-5 + x-1 = 7x-27
Combine like terms
4x-6 = 7x-27
Subtract 4x from each side
4x-6 -4x= 7x-27-4x
-6 = 3x-27
Add 27 to each side
-6+27 = 3x-27+27
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
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b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3
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