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3 years ago

Solve 3x²-x-2=0. Please show all work.

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

3 0

3x²-x-2=0

Δ=1+24=25 (Δ=b²-4ac)

x₁,₂= $\frac{1(+/-)\sqrt{25} }{6}$

x₁,₂= $\frac{1(+/-)5}{6}$

x1= $\frac{1+5}{6}$ =6/6=1

x2= $\frac{1-5}{6}$ = $\frac{-2}{3}$

x1=1

x2= $\frac{-2}{3}$

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Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

3 years ago

Classify the polynomial according to its degree and number of terms 3x^2+8x

Sunny_sXe [5.5K]

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

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3 years ago

tania needs to buy at least 3 pounds of bananas. if she buys a bunch of bananas that weighs 42 ounces will she have enough? expl

Butoxors [25]

Answer:

I believe that you are asking if she buys a bunch of bananas that weigh 42 ounces, will she have enough (3 pounds).

We know that there are 16 ounces in a pound. So we multiply 3 x 16 to get 48. This means that we would need 48 ounces of bananas.

Tania only has 42 ounces, so she does not have enough bananas

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3 years ago

Read 2 more answers

3m - (m^2 + n); if m = 2 and n 19

deff fn [24]

Answer:

- ( 17 )

Step-by-step explanation:

m = 2

n = 19

m^2

= 2^2

= 2 x 2

= 4

= 3 x 2

= 6

3m - ( m^2 + n )

= 3m - ( m^2 + n )

= 6 - ( 4 + 19 )

= 6 - 23

= - ( 17 )

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2 years ago

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Solve 3x²-x-2=0. Please show all work.​

Solve 3x²-x-2=0. Please show all work.