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Elza [17]
4 years ago
12

Do Now:Find the vertex form by completing the square: y= x²+4x +3​

Mathematics
1 answer:
Ber [7]4 years ago
7 0

Answer:

(-2,-1)

Step-by-step explanation:

y = x² + 2(x)(2) + 2² - 2² + 3

y = (x + 2)² - 1

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If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present
Brums [2.3K]

The weight of substance remaining after 13 years is 2.25 g.

Given:

Present weight of substance = 12 g

After 8 years weight remains = 6 gm

Now, weight loss in 8 year will be,

12-6=6 gm

So, weight loss in 1 year will be,

\dfrac{6}{8} =\dfrac{3}{4}

Total weight loss in 13 year will be,

\dfrac{3}{4}\times13=9.75

The weight of substance remaining after 13 years will be,

12- 9.75 = 2.25 \;\rm g

Therefore, the weight of substance remaining after 13 years is 2.25 g.

To know more about radioactive decay, refer to the link:

brainly.com/question/12116123

5 0
3 years ago
Maureen tracks the range of outdoor temperatures over three days. She records the following information.
Shkiper50 [21]
<h2>Hello!</h2>

The answer is:

The correct option is the third option;

-23\leq t\leq 50

<h2>Why?</h2>

To find which of the options expresses the intersection of the three days as an inequality in terms of temperature "t" we need to find an inequality which starts at the lowest temperature (greater or equal) and finish at the highest temperature (less or equal).

So, we have that the lowest temperature is -23°F and the highest temperature is 50°F, there are two options for that range, but we need to consider that the temperature will range from -23° to 50°, so, the correct option is the third option;

-23\leq t\leq 50

We can see that the inequality express that the temperature will range from -23°F being greater or equal than that, to 50°F being less or equal than that.

Have a nice day!

4 0
4 years ago
Christopher earned $78 at his job when he worked for 2 hours.
morpeh [17]

Answer:

1 dollar every 1/39 hour

Step-by-step explanation:

If Christopher earns $78 in two hours, he must earn $39 dollars in one hour because 78/2 is 39. Therefore, every hour Christopher earns $39. To find the amount of hours per dollar, divide 1, the hour, by 39, the money per hour, to get 1/39.

4 0
4 years ago
Read 2 more answers
Solve the equation.
Gekata [30.6K]

Answer:

-145.436

Step-by-step explanation:

B + 116.49=-28.946

B + 116.49–116.49 =28.946 —116.49

When simplified its - 145.436

7 0
3 years ago
use the tangent ratio to find the missing leg of the right triangle estimate your answer to two decimal places
Oksi-84 [34.3K]

Answer:

y = 5.595090517 or approximately 5.6

Step-by-step explanation:

Tan47 = 6/y

y x Tan47/Tan47 = 6/Tan47

y = 5.595090517 or approximately 5.6

5 0
4 years ago
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