3. [02.03] Solve for x: |x + 2| + 16 = 14 (2 points) x = −32 and x = −4 x = −4 and x = 0 x = 0 and x = 28 No solution
2 answers:
Answer:
The correct option is D) No solution.
Step-by-step explanation:
Consider the provided equation.
We need to solve the above equation for x.
Subtract 16 from both the sides.
The absolute value of a real number "<em>a"</em> is the non-negative value of "<em>a"</em> without regard to its sign. It cannot be a negative number.
Thus the equation has no solution.
Hence, the correct option is D) No solution.
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Answer:
Step-by-step explanation:
f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4
Step 1. Calculate the difference between the functions
(a) Write the two functions, one above the other, in decreasing order of exponents.
ƒ(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
(b) Create a subtraction problem using the two functions
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4) </u>
ƒ(x) -g(x)=
(c). Subtract terms with the same exponent of x
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4) </u>
ƒ(x) -g(x) = 4x³ + 2x² + 2x
Step 2. Factor the expression
y = 4x³ + 2x² + 2x
Factor 2x from each term
y = 2x(2x² + x + 1)