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3 years ago

Please help me! Only have about 10 minutes until I have to submit this assignment!

Mathematics

2 answers:

salantis [7]3 years ago

8 0

Answer:

626

Step-by-step explanation

irinina [24]3 years ago

4 0

The answer is 626 I think

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Which zero pair could be added to the function f(x)=x^2+12x+6 so that the function can be written in vertex form?

andrew11 [14]

f(x) = x² + 12x + 6 → y = x² + 12x + 6

Let us convert the standard form into vertex form.

1) Complete the squares. Isolate x² and x terms.
y - 6 = x² + 12x

2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.

y - 6 + 36 = x² + 12x + 36
y + 30 = (x + 6)²
y = (x + 6)² - 30 ← Vertex form

To check:

y = (x + 6) (x + 6) - 30
y = x² + 6x + 6x + 36 - 30
y = x² + 12x + 6

The zero that could be added to the given function is 36, -36

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3 years ago

In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control

lianna [129]

Answer:

The sample space for selecting the group to test contains 2,300 elementary events.

Step-by-step explanation:

There are a total of N = 25 aluminum castings.

Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of samples that are possible as follows:

${25\choose 3}=\frac{25!}{3!\times (25-3)!}$

$=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300$

The sample space for selecting the group to test contains 2,300 elementary events.

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3 years ago

the red line and the blue line trains just arrived at station when will they next arrive at the station at the same time

Whitepunk [10]

They will meet back up in 40 minutes because 8x5=40 and 10x4=40 which 40 is both a multple of 8 and 10 so you're welcome

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3 years ago

A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality can be used to find all possible

Flura [38]

Tje answer is c t < or equal to (350r)

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3 years ago

Tri scored a total of 31 points in the basketball game, and he scored p points in the second half of the game. Write an expressi

kirill115 [55]

Answer:

If he scored x points in the first half, then x + p = 31

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2 years ago

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