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Delicious77 [7]
2 years ago
7

Write in vertex form f(x)=x^2+12x+34

Mathematics
1 answer:
svp [43]2 years ago
8 0

Answer:

(-6, -2)

Step-by-step explanation:

f(x) =  {x}^{2}  + 12x + 34

= f(x) =  {1x}^{2}  + 12x + 34

= a = 1, b = 12

= x =  -  \frac{12}{2 \times 1}

= x =  -  \frac{12}{2}

= x = -6

= f(x) =  {x}^{2}  + 12x + 34.. =  - 6

= f( - 6) =  - 2

= (-6, -2)

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The table represents a linear function.
melomori [17]

Answer:

3

Step-by-step explanation:

For it to be a linear function, then it obeys the general form of a liner equation which is y = mx + c

Where m represents the slope and c represents the y intercept

Now let’s take the last point on the table;

and substitute the values of x and y;

we have;

10 = 2m + c. ••••••••(i)

let’s take the second to the last;

7 = m + c ••••••••••(ii)

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Just subtract second from first directly

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3 years ago
Can someone please help me?
Pavlova-9 [17]

Answer:

A.1/12

Step-by-step explanation:

Probability of the card being yellow is 1/4

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3 years ago
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Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

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As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

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Answer:

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Step-by-step explanation:

If you need explanation, please tell me in comments.

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