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
Bas_tet [7]
3 years ago
9

Write the equation y = -(x – 5)2 + 21 in standard form.

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer:

y = − x + 31

Step-by-step explanation:

y  =  − 2 x + 31

You might be interested in
PLS PLS HELP, I DONT WANT TO FAIL!!
Flura [38]

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

8 0
1 year ago
Read 2 more answers
Simpify the expression. -2(y + 3) -7y
jenyasd209 [6]
-2y-6-7y
-9y-6
I hope that this helps!
4 0
3 years ago
There are 1800 gym members in total 3/4 are aged 25-59 1/5 are over 60 and the rest are under 25 how many members are under 25
skad [1K]
90 members are under 25 years old
7 0
3 years ago
Shahad put $65 in her lunch account. She spends $3 each day on lunch. If her account goes below $5, she will get a notice sent h
Anna [14]

Answer:

if the question is how long can she eat without a notice being sent home, its about 21 days

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the answer to 2(x-3)-4(x+3)
Lyrx [107]

Step-by-step explanation:

2 (x-3)-4 (x+3)

  • 2x-6-4x-12
  • -2x-18
  • -2(x+9)
7 0
3 years ago
Read 2 more answers
Other questions:
  • How would I work this question? x+10y= -9 and x=5y+21
    12·1 answer
  • If A+D=117kg , A+M=88kg and M+D=161kg whats there total weight<br><br>thx in advance
    6·2 answers
  • The exchange rate of U.S. dollars to British pounds (£) .63. You have $4000 to convert to British pounds. How many british pound
    11·2 answers
  • Which equation is nonlinear?<br> A) 4x = 12 <br> B) 3y = 12 <br> C) xy = 12
    11·2 answers
  • Luke made 14 out of 16 free throws in a basketball game. What percent free throws did he make?
    7·2 answers
  • Please help again! Same thing!
    15·1 answer
  • Math question please answer my question First one answered will be marked brainliest.
    8·2 answers
  • Show work please.....
    7·1 answer
  • Which similarity statements are true
    15·1 answer
  • Quick will give brainlyest. What is the distance between points A and B? Use absolute value to explain your answer.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!