Which equation has a graph parallel to the graph of 9.x + 3y = -22?

Mathematics

1 answer:

Pani-rosa [81]2 years ago

7 0

Answer:

y = -3x - 8.3

Step-by-step explanation:

You need to rearrange 9x + 3y = -22 in the form y = mx+c.

9x+3y = -22

3y = -9x - 22

y = -3x - 7.3

As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.

Final answer : y = -3x - 8.3

You might be interested in

the cost of a candle varies directly with the volume of the candle. If a candle with a volume of 80cm^3 costs $12, what would be

ivanzaharov [21]

<span>First, you need to find out how much will the candle cost per volume. If a candle with a volume of 80cm^3 costs $12, the price of the candle per cm^3 would be: $12/80cm^3= $0.15/cm^3

Then the price of a candle with </span>120 cm^3 volume would be:120cm^3* $0.15/cm^3= $18

4 0

2 years ago

Find the probability of being dealt a full house. (Round your answer to six decimal places.)?

vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

$\dbinom42\dbinom43=24$

and the number of ways of drawing 3 aces and 2 2s is the same,

$\dbinom43\dbinom42=24$

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

$2\dbinom{13}2\dbinom42\dbinom43=3744$