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3 years ago

Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

Step-by-step explanation:

Given

$\frac{x^2+5x+6}{x+2}$

Factor the numerator

x² + 5x + 6 = (x + 2)(x + 3) , thus

= $\frac{(x+2)(x+3)}{x+2}$

Cancel the factor (x + 2) on the numerator and denominator, leaving

= x+ 3 → c

noname [10]3 years ago

5 0

Answer:

C. x+3

Step-by-step explanation:

Simplifying

x²++5x+6/x+2

Firstly we need to factorize the numerator to have;

x²+5x+6

x²+3x+2x+6

(x²+3x)+(2x+6)

x(x+3)+2(x+3)

x+2(x+3)

The equation will now become;

(x+2)(x+3)/x+2

= x+2 will cancel out x+2 to have x+3 left which is the required function

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A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to

Nastasia [14]

Let

x-------> the number of game tokens purchased for a member of the arcade

y-------> the function of the yearly cost in dollars

we know that

the function y of the yearly cost in dollars is equal to

$y =\frac{1}{10} x +60$

This is the equation of the line

using a graph tool

see the attached figure

Statements

case a) The slope of the function is $1.00

The statement is False

The slope of the function is equal to $\frac{1}{10} \frac{\$}{tokens}$

case b) The y-intercept of the function is $60

The statement is True

we know that

The y-intercept of the function is the value of the function when the value of x is equal to zero

for $x=0$

$y =\frac{1}{10}*0 +60$

$y =\$60$

case c) The function can be represented by the equation y =(1/10)x + 60

The statement is True

The equation of the function is equal to $y =\frac{1}{10} x +60$

case d) The domain is all real numbers

The statement is False

The value of x cannot be negative, therefore the domain is the interval

[0,∞)

case e) The range is {y| y ≥ 60}

The statement is True

The range of the function is the interval-------> [60,∞)

see the attached figure

8 0

3 years ago

Read 2 more answers

Answer number 58 and answer it CORRECTLY please

Dmitriy789 [7]

The answer is 11 cause if you count the white cubics you get 11 and if you count the shadow with it would be 38 and there is only 11 19 28 171
but i might be wrong

7 0

3 years ago

The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?

IgorC [24]

The property that is being described in the statement "The sum of the components of anything equals the whole thing" would be the Partition Postulate. It is simply the whole is equal to the sum of its parts. For instance we have a line where it contains points W, X, Y and Z, then WX + XY + YZ = WZ.

5 0

3 years ago

If your playing a game and get 15 coins 30 minutes. How many coins will you get in 1 hour and 40 minutes?

krok68 [10]

Answer:

You would get 50 coins in that time.

Step-by-step explanation:

To find this, we first need to find the unit rate. We can get that by dividing the amount of coins by the amount of time.

15 coins/ 30 mins = .5 coins per minute.

Now, we have 100 minutes in the second part of the problem, so we multiply the rate by that amount of time.

.5 coins per min * 100 mins = 50 coins

7 0