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
frozen [14]
1 year ago
15

PLS PLS HELP, I DONT WANT TO FAIL!!

Mathematics
2 answers:
Flura [38]1 year ago
8 0

Answer:

2.0 seconds

Step-by-step explanation:

<u>Given quadratic functions</u>:

\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}

To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}

<u>Factor</u> the quadratic:

\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}

Apply the <u>zero-product property</u> to solve for x:

\implies (x-1)=0 \implies x=1

\implies (x-2)=0 \implies x=2

Therefore, the balloons collided at 1 second and 2 seconds.  

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

f(1)=-6(1)^2 +23(1)+5=22

f(2)=-6(2)^2 +23(2)+5=27

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

Brums [2.3K]1 year ago
7 0

Equate both and solve

  • -7x²+26x+3=-6x²+23x+5
  • -7x²+6x²+26x-23x+3-5=0
  • -x²+3x-2=0
  • x²-3x+2=0
  • (x-2)(x-1)=0

x=2,1

The collisions happen at 1s and 2s

As only 2s is included in our options option A is correct

You might be interested in
#22 im not sure what the first step is
swat32
To rotate a point 180° about the origin, you simply have to multiply -1 to the first and second coordinate. For your problem, just do that for all the points and list them out.
8 0
3 years ago
Show your work please help me with my homework thank you
AVprozaik [17]
Part. %
------ = -------
Whole 100

816. X
------- = ------
850. 100

850x=81600
-------- ---------
850. 850

X=96

96% of seats were sold
3 0
3 years ago
Can u guys help me please
shusha [124]
Its y=3/4x+3

you can solve it

-3x+4y=12

add 3x both sides

4y=3x+12

divide 4 by both sides

y=3/4x+4
8 0
3 years ago
Read 2 more answers
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Sergio [31]

Answer:

It is correct!!

Step-by-step explanation:

6 0
3 years ago
What is inequality for 48-15=
igomit [66]

Answer:

48-15 is 33

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Describe the error in evaluating the power: (0.4)^2=2(0.4)=0.8 PLEASE HELP ME!!!
    7·2 answers
  • Select each situation that models a constant rate of change
    9·1 answer
  • Round to nearest number 29 4/5
    13·1 answer
  • Using the diagram on the right, find the length of GT and TA.
    11·1 answer
  • A basketball court measures 998 inches on the sides while the baseline stretches 700 inches. There is a circle in the middle of
    10·1 answer
  • Find the slope worth 10 points
    11·2 answers
  • At the baseball game, the lady at the gate gave a free t-shirt to every 20th person that attended the game. On Friday night, 385
    9·2 answers
  • 1 3 x+ - 6 y = - 2/3 * x + 3
    6·1 answer
  • Help will give brainleiest
    5·2 answers
  • HELPPPP ASPAPPPP PLEASEEEE !!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!