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3 years ago

The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?

1 answer:

5 0

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

By using Bayes' theorem:

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

7 0

3 years ago

If the equation x^2 - 12x - 9 = 0 is converted to the form (x - b)^2 = c and the resulting equation is (x - 6)^2 = c, what is th

Radda [10]

Answer:

Step-by-step explanation:

Identified

7 0

2 years ago

* Find the area of a triangle: Base of 8 cm Hight of 9 cm

Sliva [168]

Answer:

36 cm

Step-by-step explanation:

The formula to find the area of a triangle is A=1/2bh where b stands for base and h for height.

So, 8 times 9 equals 72, and 72 divided by 2 is 36.

5 0

2 years ago

Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. 50 361 363 586

Kipish [7]

It appears that none of your option choices are correct,, are you sure you copied them right ? I will show you how to solve this and how I got my answer.
The first step for solving this is to add the numbers in the parenthesis.
3 × 11 × 2 - 14 ÷ 7
Divide -14 by 7.
3 × 11 × 2 - 2
Divide the first 3 numbers together.
66 - 2
Subtract the numbers together to get your final answer.
64
Let me know if you have any further questions.
:)

4 0

2 years ago

Read 2 more answers

Find the quotient please

LenKa [72]

Answer:

-7.

Step-by-step explanation:

Fractions are division! If you don't know what a quotient is, It is basically a more complicated way of saying "find the answer by dividing." So we always divide the numerator (top number) by the denominator (bottom number). So we get 14÷-2 and we can see that -2 is a negative number, so remember that a positive times or divided by a negative is always a negative number. So therefore we get -7 as our quotient.

6 0

3 years ago