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3 years ago

Find the zeros of the function. f(x) = 4x3 - 12x2 - 40x

1 answer:

mote1985 [20]3 years ago

3 0

First take out the GCF which is 4x

4x (x^2 - 3x - 10) = 0

4x(x - 5)(x + 2) = 0

4x = 0 so x = 0

x - 5 = 0 so x = 5

x+2 = 0 so x = -2

zeros are -2, 0 and 5

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How much of a tip do i give for 14 dollars

Mariana [72]

$2.1 is the amount of the tip

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3 years ago

Sofia places 26 tiles representing each letter of the alphabet into a bag. Five of the tiles represent the vowels A, E, I, O, an

mars1129 [50]

Answer:

42 times.

Step-by-step explanation:

The number of total alphabet = 26 tiles

The number of vowels = 5

The number of consonant = 26 - 5 = 21

Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.

The probability to select consonant at first time = 21/26

Total tiles after the first selection = 26 - 1 = 25

The probability to select vowels at second time = 5/25

The probability to select consonant and vowels = $\frac{21}{26} *\frac{5}{25} =\frac{21}{130}$

Sofia will draw two tiles from the bag 260 times.

The prediction for the number of times Sofia will select a consonant tile and a vowel tile = $\frac{21}{130} *260=42 \ times$

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2 years ago

Your mom opened a college fund for you when you were born. The fund had an annual interest rate of 2.5%. When you turned 18, the

juin [17]

Set up the equation like this
4,275= x (1.025)∧18
then solve for the answer
The answer should be $2740.98, but you should double check.

6 0

3 years ago

Read 2 more answers

Cost 75.09 with a 38% markup

Sophie [7]

Answer:

103.62

Step-by-step explanation:

If I am understanding this question correctly you want the answer for how much the total would be for a 38% markup at a starter price of 75.09.

In which case it would be 103.62.

It is a 28.53 increase.

5 0

3 years ago

The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

3 0

2 years ago