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4 years ago

Given: 2x+3y=6. What is the y-intercept?

Mathematics

1 answer:

Margaret [11]4 years ago

8 0

Answer:

y-intercept is (0, 2).

Step-by-step explanation:

The y-intercept occurs when x = 0 so:

2(0) + 3y = 6

y = 6/3 = 2.

So the y-intercept is (0, 2).

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lesya [120]

The first one is no solution, the second one is t+x=y

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3 years ago

There is a pond on my property that Wildlife and Fisheries stocks. From information provided to me, I can expect my fish populat

LenaWriter [7]

An exponential function can either represent growth or decay

The initial value is 200 and the growth factor is 1.190
The number of fish in the pond after 5 years is 436

(a) The initial number of fish and the growth factor

The function is given as:

$P(t) = 200 \times 2^{t/4}$

An exponential function is represented as:

$P(t) = ab^t$

Where

a represents the initial value
b represents the growth factor

So, by comparison: the initial value is 200

The growth factor is then calculated as:

$b = 2^{1/4}$

$b = 1.190$

Hence, the initial value is 200 and the growth factor is 1.190

(b) The number of fish after 5 years

This means that t = 5.

So, we have:

$P(t) = 200 \times 2^{t/4}$

$P(5) = 200 \times 2^{5/4}$

$P(5) = 200 \times 2^{1.125}$

$P(5) = 436$

Hence, the number of fish in the pond after 5 years is 436

Read more about exponential functions at:

brainly.com/question/11464095

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3 years ago

A cat is running away from a dog at a speed of 3m/s. originally, the distance between them was 48 meters. What should be the spe

balandron [24]

Answer:

$3.8\:\mathrm{m/s}$

Step-by-step explanation:

Use the formula $d=rt$ (distance is equal to rate/speed multiplied by time) to solve this problem.

We know that one minute is equal to 60 seconds. Therefore, the distance travelled by the cat in 1 minute is equal to $d=3\cdot 60=180\text{ meters}$ .

To catch the cat, the dog needs to also cover an additional 48 meters, because the cat was initially 48 meters away from the dog and it ran away from the dog. Hence, the dog will need to cover $180+48=228$ meters in one minute.