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3 years ago

If you answer right ill give brainliest, PLEASE help :)

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer: replace f(x) with y

y=x2+x−30

To find the roots of the equation, replace y

with 0

and solve.

0=x2+x−30

Rewrite the equation as x2+x−30=0

x2+x−30=0

Factor x2+x−30

using the AC method.

(x−5)(x+6)=0

Set x−5

equal to 0 and solve for x

x=5

Set x+6

equal to 0 and solve for x

x=−6

The solution is the result of x−5=0

and x+6=0

x=5,−6

Hope this helps!

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Read 2 more answers

A two-sided coin (heads/tails) is flipped once, and one card is drawn from a standard 52 deck of playing cards. Calculate the pr

marin [14]

Answer:

Drawing a King AND drawing a Heart - 1/52
Flipping a Heads OR flipping a Tails - 1
Flipping a Tails AND drawing a King - 1/26
Flipping a Tails OR drawing a King - 15/26
Drawing a King OR drawing a Heart - 17/52

Step-by-step explanation:

To solve these we need to understand AND/OR rule of probability.

Simply put "AND" means "multiplication" and "OR" means "addition".

1.Drawing a King AND drawing a Heart:

Pleas note that there are 4 suits in a deck of cards and each suit has 1 king. So in a 52-card standard deck, there is 4 king. Also, there are 13 cards of each suite, so there are 13 hearts out of total 52. Also note that there is "AND" in between (so multiplication).

P(King)*P(heart) = 4/52 * 13/52 = 1/52

2. Flipping a Heads OR flipping a Tails:

Note that there can only be head or tail, so probability of either head of tail is 1/2. Note, there is "OR" in between (so addition).

P(head) + P(tail) = 1/2 + 1/2 = 1

3. Flipping a Tails AND drawing a King:

We already saw the probability of flipping tail is 1/2. Also, we say that there are 4 kings in a standard deck, so probability of drawing a king is 4/52. Note there is "AND" in between (so multiplication). Thus:

P(tails) * P(King) = 1/2 * 4/52 = 1/26

4. Flipping a Tails OR drawing a King

As #3, flipping a tail's probability is 1/2. And, drawing a King's probability is 4/52. BUT here, it is "OR" in between , hence we need to "ADD". Thus:

P (tail) + P(King) = 1/2 + 4/52 = 15/26

5. Drawing a King OR drawing a Heart

As we know, there are 4 suits each with 1 king, so there are total of 4 kings in a standard 52-deck card. Also, there are 13 cards of each suite (hearts, spades, diamonds, clubs). So there are 13 hearts. Hence, probability of King is 4/52 and probability of heart is 13/52. Note that there is "OR" in between, so that means "addition". Thus:

P(king) + P(heart) = 4/52 + 13/52 = 17/52

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3 years ago