What is the answer to: -2x-y=-9

1 answer:

3 0

Y=9-2x, 9-2x=0, 2x=9, x=9/2, if you were asked to put it in standard form put down the first thing I said, if you were asked for solution then everything I said

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A bean plant grows at a constant rate for a month. After 10 days, the plant is 25 centimeters tall. After 20 days, the plant is

wariber [46]

Y = 2x + 5

If you take the height at 10 days, 25 centimeters, after 10 more days the height is 45 centimeters, meaning for those 10 extra days the been plant grown 20 centimeters. Since we're told the plant is growing at a constant rate, this shows the bean plant is growing 2 centimeters per day. We can represent this with y = 2x. (After 10 days, the bean plant will be 20 centimeters, after 20 days, the bean plant will be 40 centimeters, etc.)

However, this is not completely true yet. As you can see, after the first 10 days the plant is not 20 centimeter, it's 25 centimeters. We already know the rate in which the plant is changing, but now we need to find the height that the plant was originally, before it started growing.

After the first 10 days, the plant is 25 centimeters tall. Since we know that the plant is growing 2 centimeters per day, we can subtract 20 from 25 to find the original height of the bean plant.

25 - 20 = 5
The bean plant was originally 5 centimeters.

This makes our final equation y = 2x + 5.
2x is the slope, and 5 is the y intercept.

Hope this helps1!

5 0

3 years ago

The prices of tickets for the local rock concert were $16 for Friday night and $28 for Saturday night. The total attendance for

ASHA 777 [7]

Let x: number of tickets that sold on Friday, y: number of tickets that sold on Saturday night

16x+28y=24232
x+y=1090
x=1090-y,
so 16(1090-y)+28y=24232
17440-16y+28y=24232
12y=6792
y=566. As a result, there will be 566 tickets sold on Saturday night. Hope it help!

4 0

3 years ago

Read 2 more answers

There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, wh

Mrac [35]

Answer:

$20.5\%$

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

$\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}$ ,

The $\frac{1}{5}$ represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The $\frac{4}{5}$ represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): $\binom{5}{2}=10$ .

Therefore, the probability the student gets two questions correct is:

$\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}$