What is the vertex of the graph of y =

Please help with both questions, thank you!

algol [13]

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

5 0

3 years ago

Write a system that describes the situation:

aleksley [76]

Is the questions asking you to form an equation? or answer the problem?

3 0

3 years ago

PLEASE HELP QUESTION:

zmey [24]

Answer:

20

Step-by-step explanation:

I had the same question but I didn't really understand it so I searched it up and it was 20 so there you go

4 0

3 years ago

Is my answer the only correct answer or are there more?

Mars2501 [29]

There's only one answer your answer.

6 0

4 years ago

The mills at a carpet company produce, on average, one flaw in every 500 yards of material produced; the carpeting is sold in

Tresset [83]

Answer:

1.76% of the rolls are rejected.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this problem, we have that:

The mills at a carpet company produce, on average, one flaw in every 500 yards of material produced; the carpeting is sold in 100-yard rolls. This means that for each 100 yard rolls, there are expected 0.2 failures. So $\mu = 0.2$ .

If the number of flaws in a roll follows a Poisson distribution and the quality-control department rejects any roll with two or more flaws, what percent of the rolls are rejected?

This is $P(X \geq 2)$ .