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3 years ago

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The ancient Greeks were ultimately able to prove that the constructions they thought impossible were, in fact, impossible. A. Tr

ue B. False

2 answers:

adelina 88 [10]3 years ago

7 0

F.. took this test last week

STatiana [176]3 years ago

7 0

the answer on apex is false

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31. Wednesday 8 hours

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3 years ago

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3 years ago

Read 2 more answers

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

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3 years ago

If I needed to drive 250 miles with the rental car, which company should I rent from to

marusya05 [52]

There's not any options, but you should rent from a company who's interest rates are most affordable for the amount of days or miles it would take for you 250 miles

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3 years ago

A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market

Juliette [100K]

Answer:

The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.

Step-by-step explanation:

Denote the events provided as follows:

<em>S</em> = a product is successfully launched

<em>P</em> = positive test market result

The information provided is:

P (S) = 0.60

P (P | S) = 0.80

P (P | S') = 0.30

Then,

P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20

P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70

Compute the probability of positive test market result as follows:

$P(P)=P(P|S)P(S)+P(P|S')P(S')$

$=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60$

The probability of positive test market result is 0.60.

Then the probability of negative test market result is:

P (P') = 1 - P (P)

= 1 - 0.60

= 0.40

Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:

$P(S|P')=\frac{P(P'|S)P(S)}{P(P')}$

$=\frac{0.20\times 0.60}{0.40}\\\\=0.30$

Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.

6 0

3 years ago