Ask question

Ask question

All categories

2 years ago

8

Polynomial function f(x) has only 3 real roots. It has a root at −3 and a double root at 4. It has a y-intercept of 24. Which eq

uation represents f(x) ?

1 answer:

Oduvanchick [21]2 years ago

7 0

Answer:

f(x) = (1/2) (x + 3)(x - 4)^2

Step-by-step explanation:

f(x) = C(x + 3)(x - 4)^2

y-intercept = f(0) = C(3)(-4)^2 = 48C = 24, so C = 1/2

f(x) = (1/2) (x + 3)(x - 4)^2

You might be interested in

Model Exponential Growth Question :A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10

Iteru [2.4K]

Answer:

The number of bacteria $B$ after $d$ days is given by

$B = B_0 (3)^{\frac{1}{10} d}$

where $B_0$ is the initial number of bacteria.

Step-by-step explanation:

The number of bacteria $B$ in the sample triples every 10 days, this means after the first 10th day, the number of bacteria is

$B = B_0 *3,$

where $B_0$ is the initial number of bacteria in the sample.

After the 2nd 10th days, the number of bacteria is

$B = (B_0 *3)*3$

after the 3rd day,

$B =( B_0 *3*3)*3$

and so on.

Thus, the formula we get for the number of bacteria after the <em>n</em>th 10-days is

$B = B_0 (3)^n$

where $n$ is is the <em>n</em>th 10-days.

Since, $n$ is 10 days, we have

$d =10n$

or

$n =\dfrac{1}{10}$

Substituting that into $B = B_0 (3)^n$ , we get:

$\boxed{ B = B_0 (3)^{\frac{1}{10} d}}$

8 0

3 years ago

Find the distance between points P(8,1) and Q(1,6) to the nearest tenth

Ronch [10]

1 - 8 = - 7
6 - 1 = 5

Let us use the Pythagorean theorem:

c^2 = (-7)^2 + 5^2 = 49 + 25 = 74 -> c = 8.6

5 0

3 years ago

The value of a car decreases $500 for every 1,000 miles it is driven. The current value of the car is $23,000, and the car is dr

Serjik [45]

18,000? im not 100% sure tho.

3 0

3 years ago

What is the solution to 0.6(24x-32)=0.8(24-6x)?

Helen [10]

You would have to move terms which will bring you to 14.4 x - 19.2 = 19.2 - 4.8x the you would combine like terms then you would get 19.2x= 38.4 then you divide both sides by 19.2 and get 2 as your answer.

5 0

3 years ago

Read 2 more answers

ANSWER ASAP I AM GIIVING 25 POINTS JUST TELL ME THE ANSWER NO EXPLANATION NEEDED

Fed [463]

Answer:

I think its B but not sure

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers