Olve for x. Check each step or answer that is correct. 34(x + 4) = 14(x + 8) (A) Distribute 34 on the left side of the equation.
1 answer:
Answer:
x = -1.2
Step-by-step explanation:
Th given equation is :
34(x + 4) = 14(x + 8)
Step (A) Distribute 34 on the left side of the equation such as :
34x + 34(4) = 14(x + 8)
34x + 136 = 14(x + 8)
Step (B) Distribute 14 on the right side of the equation such as :
34x + 136 = 14x + 14(8)
34x + 136 = 14x + 112
Step (C) Subtract 14x from each side of the equation.
34x + 136 - 14x = 14x + 112 -14x
20x + 136 = 112
Step (D) Subtract 136 from each side of the equation.
20x + 136 -136 = 112 -136
20x = -24
Step (E) Divide both side by 20
So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.
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The question is missing parts. Here is the complete question.
Find the absolute maximum and absolute minimum values of f on the given interval.
, [ -2,8]
Answer: Absolute maximum: f(4) = 2.42;
Absolute minimum: f(-2) = -1.76;
Step-by-step explanation: Some functions have absolute extrema: maxima and/or minima.
<u>Absolute</u> <u>maximum</u> is a point where the function has its greatest possible value.
<u>Absolute</u> <u>minimum</u> is a point where the function has its least possible value.
The method for finding absolute extrema points is
1) Derivate the function;
2) Find the values of x that makes f'(x) = 0;
3) Using the interval boundary values and the x found above, determine the function value of each of those points;
4) The highest value is maximum, while the lowest value is minimum;
For the function given, absolute maximum and minimum points are:
Using the product rule, first derivative will be:
= 0
x = ±4
x can't be -4 because it is not in the interval [-2,8].
Analysing each f(x), we noted when x = -2, f(-2) is minimum and when x = 4, f(4) is maximum.
Therefore, absolute maximum is f(4) = 2.42 and
absolute minimum is f(-2) = -1.76