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Verdich [7]
3 years ago
8

Lena has $2800 dollars in her account and makes automatic $700 monthly payments on a cell phone bill. Use a table to find when a

utomatic payments would make the value of the account zero.
Mathematics
2 answers:
nataly862011 [7]3 years ago
3 0

Answer:

Well you can't go thur a month because $700 by 12 months is $8400.

Step-by-step explanation:

700 x 12 = 8400

8400 - 2800 = -5600

So you would be negitative.

Schach [20]3 years ago
3 0

Answer:

 The correct answer is the account will reach zero within 4 months.

Step-by-step explanation:

To make a correct table and find out when the 2800 in Lena's account will reach zero, you must subtract 700 from the total for each month.

The table would be formed as follows:

TOTAL                         2800    

MONTH 1:                     2100

MONTH 2:                    1400

MONTH 3:                     700

MONTH 4:                     0

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Simplify the expression below. Then classify the resulting expression
evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

 3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= \boxed{5}

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

  • Monomial: a polynomial with only one term
  • Binomial: a polynomial with two terms
  • ...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

3 0
2 years ago
Read 2 more answers
Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using
Tamiku [17]

Answer:

Given functions,

f(x) = 3 - x^2

g(x) = \sqrt{x}+1

Since, by the compositions of functions,

1. (g◦f)(x) = g(f(x))

=g(3-x^2)

=\sqrt{3-x^2}+1

Since, (g◦f) is defined,

If 3 - x² ≥ 0

⇒ 3 ≥ x²

⇒ -√3 ≤ x ≤ √3

Thus, Domain = [-√3, √3]

2. (f◦g)(x) = f(g(x))

=f(\sqrt{x}+1)

=3-(\sqrt{x}+1)^2

Since, (g◦f) is defined,

If  x ≥ 0

Thus, Domain = [0, ∞)

3. (f◦f)(x) = f(f(x))

=f(3-x^2)

=3-(3-x^2)^2

=3-9-x^4+6x^2

=-6+6x^2-x^4

Since, (f◦f) is a polynomial,

We know that,

A polynomial is defined for all real value of x,

Thus, Domain = (-∞, ∞)

8 0
3 years ago
Evaluate the expression 14C2
lisabon 2012 [21]
\bf _nC_r= \cfrac{n!}{r!(n-r)!}\qquad \qquad _{14}C_2=\cfrac{14!}{2!(14-2)!}
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1. What is the slope of a line that passses through (-1,-5) and (6, 8)?
elena-s [515]

Answer:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

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What is 13x + 21y - 14x - y simplified?
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Answer:

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Step-by-step explanation:

trust me.. its right

4 0
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