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4 years ago

(5y-2y^2+9) + (3y^2-12-3y)

Mathematics

1 answer:

REY [17]4 years ago

6 0

Answer:

y = -3 or 1

Step-by-step explanation:

In order to solve the polynomials, you need to add them and then factor:

5y - 2y² + 9 + 3y² - 12 - 3y

Combine like terms: y² + 2y - 3

Factor: (y + 3)(y - 1)

Solve for y: y + 3 = 0 and y - 1 = 0 or y = -3 or 1

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The graph of a system of linear equations shows 2 lines with different slopes.

pochemuha

they are the same lines

x and y are the same

Step-by-step explanation:

i dont know for sure so bye god bless

4 0

3 years ago

A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and

Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0

4 years ago

Jose is 40 years old and has had a retirement portfolio for 15 years. He still has about 27 years to go before retirement. Which

larisa [96]

Remember: higher risk means you wait less time to get more money.
So I would go with A

5 0

4 years ago

Read 2 more answers

Consider the equation 2x+8y=12

rusak2 [61]

For a you have to solve 2 solutions , first 2x=12
6=x then you plug that back in, 12+8y=12
8y=0
y=0
(6,0)

3 0

3 years ago

The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with mean 69.3 and standard d

Zolol [24]

Answer:

The middle 92% of all heights fall between 64.4 inches and 74.2 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 69.3, \sigma = 2.8$

Between what two values does that middle 92% of all heights fall?

The middle 92% falls from X when Z has a pvalue of 0.5 - 0.92/2 = 0.04 to X when Z has a pvalue of 0.5 + 0.92/2 = 0.96. So from the 4th percentile to the 96th percentile.

4th percentile

X when $Z = -1.75$