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kifflom [539]
3 years ago
10

What is the answer for this problem if f(x)= 3x+10x and g(x)=5x-3, find (f+g)(x).

Mathematics
2 answers:
hammer [34]3 years ago
6 0
(f+g)(x) =f(x)+g(x)=3x+10x+5x-3=\boxed{18x-3}\ D.
Andreyy893 years ago
3 0
<span>This just means that f(x) and g(x) are added, so (f+g)(x) = f(x)+g(x)
f(x)+g(x) = 3x+10x+ 5x-3 = 18x-3
</span>
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Answer:

\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

A^{-1} = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = \left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]

A^{-1}= \frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right] = \left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]

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The accompanying data on IQ for first-graders at auniversity lab school was introduced in Example 1.2.82 96 99 102 103 103 106 1
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The estimator of 113.72 is point estimate used for the  conceptual population of all first-graders in this school

Step-by-step explanation:

Data provided in the question:

Data:

82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146

Number of data = 33

In the hint it is also given that the sum of the data value i.e ∑x = 3753

Now,

Point estimate of mean is given as;

Mean = \frac{\textup{Sum of all the data values}}{\textup{Total number of data value}}

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Hence,

The estimator of 113.72 is point estimate used for the  conceptual population of all first-graders in this school

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