Simplify for a = 3, b= -4 and c=-1. 16a - 3c + 5b =
1 answer:
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Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
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The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
A histogram with frequency on the x-axis and ages on the y-axis is shown below. Then the correct option is A.
<h3>What is a histogram?</h3>A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.
A large construction company wants to review the ages of its sales representatives.
A sampling of the ages of 25 sales reps are given:
50, 42, 32, 35, 41, 44, 24, 46, 31, 47, 36, 32, 30, 44, 22, 47, 31, 56, 28, 37, 49, 28, 42, 38, 45.
Then the histogram with frequency table is given as
Range Frequency
20 to 24 2
25 to 29 2
30 to 34 5
35 to 39 4
40 to 44 5
45 to 49 5
50 to 54 1
55 to 59 1
Then the correct option is A.
The histogram is given below.
More about the histogram link is given below.
#SPJ1
