All categories

3 years ago

I need help again sorry-

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Answer:

f(x) = - 2(x - 3)² + 2

Step-by-step explanation:

Given

f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )

= - 2(x² - 6x) - 16

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16

= - 2(x - 3)² + 18 - 16

= - 2(x - 3)² + 2

You might be interested in

What is the simple form of the radical equation sqrt of 27x^4/75y^2

omeli [17]

We are given with the radical expression
√(27 x⁴ / 75 y²)
we can simplify this by dealing with the fraction first
√(27 x⁴ / 75 y²) = √( 9 x⁴ / 25 y²)
Then, take the square root of the coefficients and the variables
= 3x² / 5y

8 0

3 years ago

1 kilogram is roughly 2.2 pounds.

Paul [167]

Answer:

11 pounds

Step-by-step explanation:

1 k = 2.2 p

5 k = ?

2.2 x 5 = 11

5 k = 11 p

4 0

3 years ago

Read 2 more answers

Two number cubes are rolled for two separate events:

MatroZZZ [7]

Let us first make the sample space for the event A. The Sample Space will be:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4)

(6,1) (6,2) (6,3)

As can be clearly seen the Sample Space for the event A has 30 elements in it.

Now, it is given in the question that the event A has already occurred and we need to find the probability of the event B occurring given that the event A has already occurred.

Now, as we can see, from the sample space, only 11 events out of the 30 are the events of interest to us. This is shown in bold below:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4)

(6,1) (6,2) (6,3)

Thus, the probability that the event B occurs given that the event A has already occurred is:

$P(B|A)=\frac{11}{30}\approx0.367$