Determine if 9x2− 12x− 4 is a perfect square trinomial and factor.

Image of parabola with a maximum value at (1, 9), y-intercept at (0, 8) and x-intercepts at (2, 0) and (4, 0).

natka813 [3]

Answer:

(a) 4 seconds

Step-by-step explanation:

The given point (4, 0) on the parabola tells you the answer to the question: the coin was in the air 4 seconds before its height is 0. It is no longer in the air at that point.

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<em>Additional comment</em>

In order to match the rest of the problem statement, the first given x-intercept must be (-2, 0).

4 0

2 years ago

A city has a population of 230,000 people. Suppose that each year the population grows by 9%. What will the population be after

zloy xaker [14]

<u>Answer:</u>

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

250,700*109% = 273,263

After the second year, there is a population of 273,263 people.

273,263*109% = 297,856.67

After the third year, there is a population of 297,856.67 people.

297,856.67*109% = 324,663.77

After the fourth year, there is a population of 324,663.77 people.

324,663.77*109% = 353,883.509

After the fifth year, there is a population of 353,883.509 people.

353,883.509*109% = 385,733.025

After the sixth year, there is a population of 385,733.025 people

Round it up to 385,733 people.

7 0

3 years ago

RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly

tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

$C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120$

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0

3 years ago

Sue Arva has 460 beads to make bracelets. Each bracelet will use 50 beads. How many bracelets will she be able to make? A. 9 B.

monitta

Answer:

A. 9

Step-by-step explanation:

So, she has 460 beads, and each braclet she makes requires 50 beads.

Therefore we will divide these numbers to get 9.2. This rounds to A. 9.\

Hope I help!

~PumpkinSpice1

8 0

3 years ago

Solve the equation.

Levart [38]

Answer:

x=34

Step-by-step explanation:

6 - ( x-7) ^ 1/3 = 3

Subtract 6 from each side

6-6 - ( x-7) ^ 1/3 = 3-6

- ( x-7) ^ 1/3 = -3

Divide each side by a negative

( x-7) ^ 1/3 = 3

Cube each side

( x-7) ^ 1/3 ^3 = (3)^3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Check

6 - ( 34-7) ^ 1/3 = 3

6 - (27^1/3 = 3

6 -3 =3

3=3

Good solution

8 0

4 years ago