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3 years ago

What is an equivalent expression to 3(4m-2)-2(m+5)

Mathematics

1 answer:

Pavel [41]3 years ago

8 0

Answer:

10m - 16

It's basically the same thing but simplified to make it easier to solve.

Step-by-step explanation:

3(4m-2)-2(m+5)

Distribution

12m-6-2m-10

Combining Like Terms

10m-16

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3 years ago

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Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).

REY [17]

Answer:

E) None of the above

Step-by-step explanation:

Given $f(x)=\sqrt{x}$ and $g(x)=x+2$ , then $f(g(x))=\sqrt{x+2}$ . This shifts the graph of the parent function $f(x)=\sqrt{x}$ 2 units to the left. Thus, the domain of the function is $[-2,\infty)$ , making none of the above true.

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2 years ago

Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop

xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

f(x)=log (3 x) +5 x²

$f'(x)=\frac{1}{3x}+10 x$

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

$x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248$

$x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012$

$x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057$

$x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052$

So, root of the equation =0.205 (Approx)

Approximate relative error

$=\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41$

Approximate relative error in terms of Percentage

=0.41 × 100

= 41 %

7 0

3 years ago

What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left p

Alexeev081 [22]

Answer:

None of the points is a solution

The question doesn't look logical correct, check closely

Step-by-step explanation:

With the points ;

(1,-1)(1,−1)

The slope is = ( -1-( -1))/( 1-1)= infinity

Similarly if you do same with

5,-7)(5,−7) ; the slope would be infinity

6 0

3 years ago

F Jessie is 24 years younger than her mother and if the sum of their ages is 84, how old is Jessie?

Ad libitum [116K]

Jessie would be 60 yrs old. 84-24=60

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3 years ago

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