Factor: 2x^2 - 4x + 1

While on a walk in the country, you pass a field of goats and chickens. After a quick count, you determine there are 38 heads an

Neko [114]

Answer:there are 16 goats and 22 chickens.

Step-by-step explanation:

Let x represent the number of goats in the field.

Let y represent the number if chicken in the field.

After a quick count, you determine there are 38 heads and 108 feet in the field. A goat has one head. A chicken also has one head. It means that

x + y = 38

A goat has four legs. A chicken has 2 legs. It means that

4x + 2y = 108 - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

4(38 - y) + 2y = 108

152 - 4y + 2y = 108

- 4y + 2y = 108 - 152

- 2y = - 44

y = - 44/ - 2

y = 22

x = 38 - y = 38 - 22

x = 16

8 0

2 years ago

In triangle MPQ points N and R are located on sides MP and QP with NR drawn. which set of measurements below would justify that

NNADVOKAT [17]

The answer is number 1. Because 12/10 =20/18 is a true statement. None of the others are true

6 0

1 year ago

Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the

monitta

Answer: $1.663\times 10^{30}\ gm$

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

$\Rightarrow P=21\cdot 2^{2t}$

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

$\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm$

7 0

2 years ago

The ratio of pencils to erasers is 4:1. If there are 20 pencils, how many erasers are there.

Leokris [45]

Answer: 5 Erasers

Step-by-step explanation: It's quite simple, really. You divide 20 by 4, (the number of pencils and the ratio number) and then you multiply whatever the quotient was by the ratio number for erasers.

3 0

2 years ago

15. If x=a Sin2t (I+Cos2t) and y=b Cos 2t (1-Cos2t) then find dy/dx at =22/7*4

Sav [38]

By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dt}\dfrac{\mathrm dt}{\mathrm dx}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm dt}}{\frac{\mathrm dx}{\mathrm dt}}$