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3 years ago

Solve vertex form out О=x^2 -4x -12

Mathematics

1 answer:

pochemuha3 years ago

3 0

Answer: (2,-16)

Step-by-step explanation: you have to rewrite it by using the vertex form (h,k)

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What is the value 2 pi into the palette?

solong [7]

Answer: The answer is 6.28571 . . ..

Step-by-step explanation: We are given ti find the value of twice of pi into the palette.

We are familiar with the irrational number pi. It is defined as the ration of circumference of a circle to the diameter of the circle and its value is 22/7 or 3.14159 . . ..

Therefore, the value of 2 pi can be calculated as follows.

$2\pi=2\times\dfrac{22}{7}=\dfrac{44}{7}=6.28571~.~.~..$

Thus, the value of 2pi is 6.28571 . . ..

8 0

3 years ago

Read 2 more answers

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o

White raven [17]

Answer:

probability = 2/3

Step-by-step explanation:

given data

population with 3 observations = 6, 10 and 12

solution

Sample space of select 2 number without a replacement will be as

Sample space = {(6,10),(6,12),(10,12)}

so here in two cases is = (6,12),(10,12)

that is mean is greater than or equal to 9 (9 and 11 respectively)

so we can say probability is = 2/3

probability = 2/3

5 0

4 years ago

The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?

V125BC [204]

Answer:

The center is (2,6) and the radius is 8

Step-by-step explanation:

6 0

3 years ago

Solve this equation 4log√x - log 3x =log x^2

ruslelena [56]

Answer:

$x = \frac{1}{3}$

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒( $\frac{1}{3x}$ )

*rewrite to solve for x :

10⁰ = $\frac{1}{3x}$

1 = $\frac{1}{3x}$

1 · x = $\frac{1}{3x}$ · x

1x = $\frac{1}{3}$

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = $\frac{1}{3}$

5 0

3 years ago

A total of 8 representatives need to be chosen from a group of 40 students, of which 24 are female and 16 are male. In how many

Diano4ka-milaya [45]

Answer:

Probability = 0.0147

Step-by-step explanation:

To find this, we need to know the number of ways the representatives can be picked overall, and then the number of ways 3 females and 3 males can be the representatives. The fraction of the two will be the probability.

The total number of ways the representatives can be picked is the combination of a pool of 40 students and choosing 8 is; C(40,8) = 40!/((8!)(40 - 12)!)

= 76904685

We have gotten the number of ways the representatives can be picked.

Now let's find how many ways can the jury consist of 3 females and 3 males

For the males, there are 16 in the pool and we're picking 3:

Thus, C(16,3) = 16!/((3!)(16 - 3)!) = 560

For the females, there are 24 in the pool and we're picking 3:

Thus, C(24,3) = 24!/((3!)(24 - 3)!) = 2024

Thus, number of men and women choices = 2024 x 560 = 1133440

So; probability = 1133440/76904685 = 0.0147

3 0

3 years ago