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3 years ago

For f(x) = 3x - 5 and g(x) = x^2 + 2, find (f+ g)(x)

Mathematics

1 answer:

gladu [14]3 years ago

5 0

Good evening ,

Answer:

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= (3x - 5) + (x² + 2)

= x² + 3x - 3.

_________________________

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2 years ago

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The base of the triangle decreases by 30% and the height increases by 20%.

sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}$

<u>Initial triangle:</u>

The base is 18 cm

The height is 5 cm

The area is

$A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2$

<u>New triangle:</u>

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3 years ago

A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an

pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

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2 years ago

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3 years ago

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6 trips because 1 trip = 3 km
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3 years ago

For f(x) = 3x - 5 and g(x) = x^2 + 2, find (f+ g)(x)​

For f(x) = 3x - 5 and g(x) = x^2 + 2, find (f+ g)(x)