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Anestetic [448]
2 years ago
12

The function f(t) = −5t 2 + 20t + 60 models the approximate height of an object

Mathematics
2 answers:
Natalija [7]2 years ago
5 0
F(t) = -5t^2 + 20t + 60
-5(t^2 - 4t - 12)
-5(t + 2) (t - 6)
t = -2 or t = 6

6 seconds
patriot [66]2 years ago
3 0

Answer:

6 seconds.

Step-by-step explanation:

We have been given a function formula f(t)=-5t^2+20t+60 that models the approximate height of an object  t seconds after it is launched.

To find the number of seconds it will take the object to hit the ground, we need to find the zeros of our given function.

-5t^2+20t+60=0

Upon dividing our equation by -5 we will get,

t^2-4t-12=0

We will factor our given equation by splitting the middle term as:

t^2-6t+2t-12=0

t(t-6)+2(t-6)=0

(t-6)(t+2)=0

(t-6)=0\text{ or }(t+2)=0

t=6\text{ or }t=-2

Since time cannot be negative, therefore, it will take the object 6 seconds to hit the ground.

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Why would i use quadratic formula to solve this quadratic equation?
lina2011 [118]

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It would be difficult to factor it...

Step-by-step explanation:

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6 0
2 years ago
Part A: Solve –mk – 90 > 85 for m. Show your work.
erma4kov [3.2K]

Answer:

A) m < -175/k and B) 3c/5 - 11

Step-by-step explanation:

A) Add 90 to both sides. -mk > 175.

Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!

m < -175/k.

B) Subtract 3c from both sides.

-5f = 55 - 3c.

Now multiply both sides by -1/5.

f = 3c/5 - 11

7 0
2 years ago
3x^2+x-5=0 to 2 decimal place<br> 3x^3+2x-4=0 to 2 decimal place
Schach [20]

Answer:

1. 3/5

2. 1.219841

3. 2 - f(2)/7

4. -1.9682

5. 1.502446

Step-by-step explanation:

If we call

then the second approximation to the root of the equation f(x)=0 would be

hence

2.

Here we have

Let's start with  

then

Since the first 6 decimals of  and  are equal, the desired approximation is 1.219841

3.

If the line y = 4x − 1 is tangent to the curve y = f(x) when x = 2, then f'(2) = 4*2 - 1 = 7, so

4.

Here

5.

We want to find all the values x such that

or what is the same, the x such that

so, let f(x) be

and let's use Newton's method to find the roots of f(x).

Since

f is strictly increasing, and since

f(1) = e+3-9 = e - 6 < 0

and

f has only one root in [1,2]

By using Newton's iterations starting with  

Since  then

x=1.50244564 is the desired root.

The answers as a comma-separated list would be

1,  1.573899431,  1.503982961,  1.502446348, 1.50244564

The answer rounded to six decimal places would be

1.502446

8 0
3 years ago
I need some help on this one
Gennadij [26K]

Answer:

3°

Step-by-step explanation:

5 0
2 years ago
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