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2 years ago

Which represents x2 – 12x + 36 in factored form?

Mathematics

1 answer:

alexandr402 [8]2 years ago

3 0

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

The given quadratic equation is $x^2 - 12x + 36 = 0$ .

A quadratic equation can be factored in the form $(x - a)(x - b)$ where $-a$ and $-b$ will form the roots of the equation.

Here the roots are: $+6 , +6$ .

The factored form would simply be: $(x - 6) (x - 6)$ .

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A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents

Marizza181 [45]

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds, that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

$\frac{x}{6} = \frac{2}{3}$

Dividing both sides by 1/6, we get

$\frac{x}{6}$ ÷ $\frac{1}{6}$ = $\frac{2}{3}$ ÷ $\frac{1}{6}$ .

Therefore, x = $\frac{2}{3}$ ÷ $\frac{1}{6}$

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.

4 0

2 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

3 years ago

Please help I will be very grateful for this. pls also explain it will really help.

Leto [7]

<h3>Answer: A) 1/8</h3>

Assuming the events "baby is a boy" and "baby has blue eyes" are independent, we simply multiply the given fractions to get (1/2)*(1/4) = 1/8

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3 years ago

The cost of 10 hot dogs at a hot dog stand is $30. Which graph shows the cost of different numbers of hot dogs at the hot dog st

fenix001 [56]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Consider the following equation:

Sidana [21]

So you would plug in 0 for a from the beginning since this is numerical slope definition of a derivative

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3 years ago