Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5
Answer:
C.
Step-by-step explanation:
(f+g)(x) ➡ f(x) + g(x)
x/2 - 2 + 2x^2 + x - 3 = 2x^2 + 3x/2 -5
y = x² - 4x + 4
0 = x² - 4x + 4
0 = x² - 2x - 2x + 4
0 = x(x) - x(2) - 2(x) - 2(-2)
0 = x(x - 2) - 2(x - 2)
0 = (x - 2)(x - 2)
0 = (x - 2)²
0 = x - 2
+ 2 + 2
2 = x
(x, y) = (2, 0)
Answer:
Linda: 3 ; Laura: 15
Step-by-step explanation:
Note that Linda + Laura's age is 18, and that Linda is 12 years younger than her sister.
Let "Linda" = x , "Laura" = y:
x + y = 18
x = y - 12
First, plug in y - 12 for x in the first equation:
(y - 12) + y = 18
Simplify.
2y - 12 = 18
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First add, then divide.
2y - 12 (+12) = 18 (+12)
2y = 18 + 12
2y = 30
(2y)/2 = (30)/2
y = 30/2
y = 15
Next, plug in 15 for y in the second equation (the other equation would work too).
x = y - 12
x = (15) - 12
x = 3
Linda's age is 3, Laura's age is 15.
~
Answer:
c. f(x) = (x + 4)(x - 1)
Step-by-step explanation:
Since you're familiar with the product of two binomials:
(x +a)(x +b) = x² + (a+b)x + ab
you know that the constants in the binomial factors must ...
- have a product of -4
- have a sum of +3
__
All of the choices except B have binomial constants that have a product of -4.
In order, the sums of the remaining choices are ...
A: 1-4 = -3
C: 4-1 = 3 . . . . this is the correct choice
D: -2+2 = 0
