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svetoff [14.1K]
3 years ago
12

QF Q6.) Find the following function for d.

Mathematics
2 answers:
charle [14.2K]3 years ago
5 0
G(f(2)) = g(2·2 -2) = g(2) = 5·2² -3
g(f(2)) = 17
igor_vitrenko [27]3 years ago
5 0
\text{Solution for} f(x)=2x-2 and g(x)=5x^2-3

\dfrac{d}{dx}  \left(2x-2\right)=2 \ \ \     =\ \textgreater \   \ \ \ \dfrac{d}{dx}\left(2x\right)-\dfrac{d}{dx}\left(2\right) 

2\dfrac{d}{dx}\left(x\right)   = 2 

\dfrac{d}{dx}\left(2\right) = 0 

\text{Therefore, 2 - 0 = 2}

_____________________________________________________

\dfrac{d}{dx}\left(5x^2\right)-\dfrac{d}{dx}\left(3\right) 

5\dfrac{d}{dx}\left(x^2\right) =\ \textgreater \  5 * \:2x =\ \textgreater \  10x 

<span>5*2^2 -3 

</span><span>g(f(2)) = 17</span>
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Jobisdone [24]

Answer: He could have played more than 3 games.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).

That expression must be higher than 25, since john paid more than $25.

Mathematically speaking

10+ 5 x > 25

Solving for x

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5x >15

x >15/5

x> 3

He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.

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4 years ago
Find the future value of the principal.<br>help me pls :(​
Vitek1552 [10]

Answer:

54,000

Step-by-step explanation:

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3 0
3 years ago
Find the slope of the line through points (4, 6) and (-6,2).
Pie

Answer: Slope = 2/5

Concept:

Here, we need to know how to find the slope.

Slope = (y₂ - y₁) / (x₂ - x₁)

If you are still confused, please refer to the attachment below for a clearer version of the formula

Solve:

<u>Given information</u>

(x₁, y₁) = (-6, 2)

(x₂, y₂) = (4, 6)

<u>Given formula</u>

Slope = (y₂ - y₁) / (x₂ - x₁)

<u>Substitute values into the formula</u>

Slope = (6 - 2) / (4 - (-6))

<u>Simplify values in the parentheses</u>

<u>REMEMBER to change [+, -] signs when there is a [-] sign in front</u>

Slope = 4 / (4 + 6)

Slope = 4 / 10

<u>Divide both numerator and denominator by 2 to get the simplest form</u>

Slope = (4 ÷ 2) / (10 ÷ 2)

Slope = 2/5

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
Question 11 Find the value of y. X+ 13 45° No links please! Thanks for the help!​
9966 [12]

Answer:

First option: 13 \sqrt{2}

Step-by-step explanation:

cosθ =  \frac{adj}{hyp}

cos45° =  \frac{13}{y}

Multiply both sides by y:

y(cos45°) = 13

y ( \frac{ \sqrt{2} }{2} ) = 13

y = 13 \div  \frac{ \sqrt{2} }{2}

y = 13 \times  \frac{2}{ \sqrt{2} }

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y =  \frac{26 \sqrt{2} }{2}

y = 13 \sqrt{2}

7 0
3 years ago
Read 2 more answers
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