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2 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).

Mathematics

1 answer:

olga2289 [7]2 years ago

6 0

Answer:

4x + 1

f + g(x) = f(x) + g(x) → Add the two functions together

3x - 1 + (x + 2)

3x - 1 + x + 2

3x + x − 1 + 2 → Combine like terms

4x + 1

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A game starts by flipping a coin. If you get heads, then you get to roll a die and, if you roll a 4, you win the jackpot. If you

Mariana [72]

$\frac{5}{24}$

Step-by-step explanation:

There are two ways to win a jackpot.

Let $p_{1}$ be the probability for first method and $p_{2}$ be the probability for second method.

Probability to get a head= $p_{head}$ = $\frac{1}{2}$

Probability to get a $4$ in the die= $p_{4}$ $=\frac{1}{6}$

Probability to get a head and get a 4 in die=[ $p_{1}$ tex]p_{head}\times p_{4}[/tex]= $\frac{1}{2}\times \frac{1}{6} =\frac{1}{12}$

Probability to get a tail= $p_{tail}$ = $\frac{1}{2}$

Probability to get a heart= $p_{heart}$ = $\frac{13}{52} =\frac{1}{4}$

Probability to get a tail and get a heart in the deck= $p_{tail} \times p_{heart}$ = $\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}$

Total probability to win a jackpot= $p_{1}+p_{2}=\frac{1}{12}+\frac{1}{8}=\frac{5}{24}$

So,probability to win a jackpot is $\frac{5}{24}$

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3 years ago

Use a net to find the surface area of the right triangular prism shown below: A. 104 square feet

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nekit [7.7K]

Answer:

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