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GalinKa [24]
3 years ago
6

Marcus and Lauren each manage an ice cream parlor that is open during the summer. Marcus pays a one-time rental fee of $400 and

earns an average of $300 per day from ice cream sales. Lauren pays a one-time rental fee of $300 and earns an average of $250 per day from ice cream sales. How many days would it take Marcus and Lauren to earn the same amount of profit?
Mathematics
1 answer:
Sergio [31]3 years ago
6 0
2 days
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Identify all factors of the expression 12x^2-14x-6
Evgen [1.6K]

Let's solve this by using the quadratic formula:

\frac{-b+-\sqrt{b^2-4ac} }{2a}


Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

\frac{ -  ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}

And so by evaluating those values we obtain:

\frac{14+-\sqrt{484} }{24}=\frac{14+-22}{24}  \\\\

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}


Second Factor:

\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}


And so your factors are

\frac{3}{2},-\frac{1}{3}

meaning that those are your roots/x-intercepts.


6 0
3 years ago
Please answer this if you can thank you :))
krek1111 [17]

<u>Answer:</u>

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) 4x^3 .

The degree is 3.

2)x^2+4.

The degree is 2.

3) x-2

The degree is 1.

B column:

1) 2x^2+1

The degree is 2.

2) x^2-x

The degree is 2.

3) x^3-5x^2+1

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) (4x^3)(2x^2+1).

=8x^5+4x^3.

The degree is 5.

2) (x^2+4)(x^2-x).

=x^4-x^3+4x^2-4x.

The degree is 4.

3) (x-2)(x^3-5x^2+1).

=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.

The degree is 4.

3 0
3 years ago
(x² – 5x – 1)(x²+ 2x + 3)
belka [17]

answer

{x}^{4}  - 3 {x}^{3}  + 8 {x}^{2}  - 17x - 3

4 0
2 years ago
Perform the operation and reduce the answer fully. 5/6+5/8
Shtirlitz [24]

The answer I was got 5/7.

3 0
3 years ago
Read 2 more answers
X=—2; x+3y=4 what is y’s value
chubhunter [2.5K]

Answer:

x = -2

x+3y = 4

This is the substitution method. You need to plug the -2 in x's place to get y.

-2+ 3y = 4

3y = 4+2

3y = 6

y= 6/3

y= 2

5 0
3 years ago
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