1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maurinko [17]
3 years ago
13

A projectile is shot into the air following the path, h(x) = 3x 2 - 12x + 5. At what time, value of x, will it reach a maximum h

eight?
A.) x = 1

B.) x = 2

C.) x = 4

D.) x = 5
Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

Option B. x = 2

Step-by-step explanation:

A projectile is shot into the air following the path as h(x) = 3x² - 12x + 5

We have to find the value of x for which the height of the projectile is maximum.

Since projectile follows the path h(x) = 3x² - 12x + 5, a quadratic equation which means the path is in the form of a parabola.

Maximum height means vertex, which will be at the maximum height of the parabolic path.

Since x-coordinate of vertex of a parabola is represented by h = -\frac{b}{2a}

From the given quadratic equation which is in the form of h(x) = ax² + bx + c

a = 3

b = -12

c = 5

Therefore, maximum height will be at x = \frac{12}{2\times3}

x = 2

Option B. x = 2 will be the answer.

mestny [16]3 years ago
5 0
The first thing you know is that this equation will most likely have an arch to it. To find the vertex, first put the equation in standard form which would be combining the common terms. So after a combination, you will have -9x +7 (I did not see a sign near your 2 on the second line) Then you can either graph it or plug in the numbers given. 
A) -9 times 1= -9. -9+7= -2
B) -9 times 2= -18. -18+7=-11
As you continue your numbers will jut be decreasing so lets go with A

You might be interested in
What is the sum of 8a<br> 7+ 5b2 – 2a2 and 7b2 + 66_<br> 20a + 3?
barxatty [35]

Answer:

Step-by-step explanation:

7+5b²-2a²+7b²+66-20a-3

first collect like terms

5b²+7b²-2a²-20a+7-3

12b²-2a²-20a+4

hope it's helpful

THANK YOU.

5 0
3 years ago
6. 2 (b+8)-9=5<br> one step equations
yaroslaw [1]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Carter has 193 songs on a playlist. He's categorized them in the following manner: 39 pop. 17 jazz. 33 Latin American, 10 countr
Lorico [155]

Step-by-step explanation:

Total songs = 193

Probability of pop song = 39/193 = 0.202

7 0
3 years ago
Which is true about the completely simplified differences of the polynomials a^3b+9a^2b^2-4ab^5 and a^3b-3a^2b^2+ab^5 ?
dolphi86 [110]

Hello from MrBillDoesMath!

Answer:

Binomial with a degree of 6  (the second Choice)

Discussion:

(a^3b+9a^2b^2-4ab^5)  - (a^3b-3a^2b^2+ab^5) =

(-4ab^5- ab^5) +  ( a^3b-a^3b) + ( 9a^2b^2 + 3a^2b^2) =

(-4ab^5- ab^5) +  0                   + ( 9a^2b^2 + 3a^2b^2) =

12 a^2 b^2 - 5 a b^5

This is a binomial with degree 6 (degree of last term = 1 + 5 = 6).

Thank you,

MrB

3 0
3 years ago
Read 2 more answers
-8 ( 3-s) = 32 what is s
____ [38]
-8(3 - s) = 32
So you expand the brackets
-24 + 8s = 32
And then solve
+ 24
8s = 56
÷ 8
s = 7
Hope this helps!
8 0
3 years ago
Other questions:
  • What shows the correct substitution of the values a,b, and c from the equation 0=-3x^2-2x+6
    14·1 answer
  • Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it
    11·1 answer
  • What do you have to multiply a million by to get to a billion
    10·2 answers
  • Which statements are true about the graph of y s 3x + 1 and y = -x + 2? Check all that apply.
    10·2 answers
  • In 2 + In 8 - In 4<br> In 4<br> In 6<br> In 64<br> DONE
    5·1 answer
  • If a baseball player has 5 hits in 20 at bats, what is the probability in the decimal to the thousandths place that he will get
    11·1 answer
  • Find the values of x and y.
    8·1 answer
  • Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest ra
    15·1 answer
  • Please help im doing my girl friend work and i dont know not a thing
    14·1 answer
  • Can you help me in this question ASAP!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!