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SSSSS [86.1K]
1 year ago
11

Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?

Mathematics
1 answer:
OlgaM077 [116]1 year ago
4 0

Answer: -10,-5,3,15

A,C,D,E

The next one is a= -5, b=1, c=-5, d=-12

The last one is 3 & 4

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X = <span>weight of the baby.
y = </span>weight of the doctor.
z = weight of the nurse.

x + y = 78 so y = 78 - x
x + z = 69 so z = 69 - x
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substitute y = 78 - x and z = 69 - x into x + y + z = 142

x + y + z = 142
x +78 - x + 69 - x = 142
-x + 147 = 142
-x = - 5
 x = 5

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What does 3ˣ + 4·3ˣ⁺¹ =<br> a. 13·3ˣ⁺¹<br> b. 5·3ˣ⁺¹<br> c. 5·3²ˣ⁺¹<br> d. 13·3ˣ
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Answer:

D. 13*3^x

Step-by-step explanation:

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1 year ago
Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
denis-greek [22]

Answer:

Option A.

Step-by-step explanation:

Clarissa needs a $2,500 loan in order to buy a car.

There are 4 options of loan we will calculate all the options that pay the least amount of interest.

To calculate the interest we will use this formula :

\frac{P\times R\times time}{100}

Where P = Principal amount

R = rate of interest

T = time in years

A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

\frac{2500\times 4.75\times 1.5}{100}

= $178.125

B) Principal 2,500 interest 4% and time 30 months (2.5 years)

\frac{2500\times 4\times 2.5}{100}

= $250

C) Principal 2,500 interest 4.25% and time 24 months (2 years)

\frac{2500\times 4.25\times 2}{100}

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D) Principal 2,500 interest 4.50% and time 36 months (3 years)

\frac{2500\times 4.5\times 3}{100}

= $337.50

The least amount of interest would be in option A.

5 0
2 years ago
fermium-253 has a half-life of three days. a sample contains 400 g. how long will it take for the sample to decay to 100 g?
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After one half-life period, half of the isotope remains.
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