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Lelu [443]
3 years ago
13

What is the vertex form of 4x^2+4x-12

Mathematics
2 answers:
Olin [163]3 years ago
5 0

Answer:

(-1/2, -13/4)

Step-by-step explanation:

Start with y = 4x^2+4x-12.  Put this into the form y = a(x-h)^2 + k, where (h, k) represents the vertex.

Factor 4 out of this expression, obtaining:  y = 4(x^2 + x - 3).

Next, complete the square of the quantity inside parentheses:

y = 4[ x^2 + x + 1/4 - 1/4 - 3 ], or

y  = 4[ (x + 1/2)^2 - 13/4 ]

We can now conclude that the vertex is (-1/2, -13/4).

REY [17]3 years ago
3 0

Answer:

(-0.5, -13)

Step-by-step explanation:

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taking the arccos of each side

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3 years ago
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Can we get a picture?
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Adrian has 75 coins consisting of quarters and dimes. The combined value of the coins is $10.20. How many of each type of coin d
Sergio [31]

Answer:

40 quarters and 2 dimes

Step-by-step explanation:

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6 0
2 years ago
Chris has 150 cookies to sell each cookie is covered with one topping 1 /5 of cookie are covered with coconut 1/3 of the cookie
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Answer:

1/6 or 25

Step-by-step explanation:

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3 years ago
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
Andrej [43]

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

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1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

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5 0
2 years ago
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