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2 years ago

Pls help I've been trying all night I don't get it

Mathematics

2 answers:

PilotLPTM [1.2K]2 years ago

5 0

Answer:

Step-by-step explanation:

a²+ 2ab + b² = (a +b)²

x² + 12x + 36 = x² + 2 * x * 6 + 6² {Here a = x and b = 6}

= (x + 6)²

Bad White [126]2 years ago

4 0

Answer:

$x^2 + 12x +36 = (x+6)^2$

Step-by-step explanation:

$x^{2} + 12x +36\\\\\\Step 1: Find\ factors \ of\ 36\ that \ add \ to \ +12.\\(1, 36)\ , \ ( 2, 18), \ (3, 12), \ (4, 9), \ (6, 6)\\\\Step2. \ From \ the \ pairs \ above \ (6 , 6) \ adds \ to \ +12.\\\\So \ the \ equation \ can\ be \ written \ as \\x^{2} + 6x +6x +36 = (x^{2} + 6x) + (6x + 36)$

$= x(x + 6) + 6(x+6)\\\\=(x+6)(x+6)\\\\=(x+6)^2$

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A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 each year, and vid

Nezavi [6.7K]

Answer:

Step-by-step explanation:

Cost of membership + game = 2.50x + 54

Cost of just games = 4.75x

The catch is, how do we make up the 54 dollars?

So equate the 2 costs

4.75x = 2.50x + 54 Subtract 2.50

4.75x - 2.50x = 54 Combine

2.25x = 54 Divide by 2.25

x = 54/2.25

x = 24

That means that 24 is the break even point.

5 0

3 years ago

A function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4. what is the output for th

Harman [31]

Answer:

when the input = 4

Then the output = 6

Step-by-step explanation:

It is stated that a function rule takes an input, and converts it into an output, y, by decreasing twice the input by 4.

Let 'x' be the number

Decreasing twice the number 'x' by 4 = 2x-4

Now,

Given the input x = 5

As the output will decrease twice the input (x=5) by 4

Thus, the output = 2(5)-4 = 10-4 = 6

Therefore,

when the input = 4

Then the output = 6

3 0

2 years ago

Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144

Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Pls help I've been trying all night I don't get it ​

Pls help I've been trying all night I don't get it