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
ohaa [14]
4 years ago
15

Y=-x^2+20x-64 what is the max height

Mathematics
1 answer:
Inessa [10]4 years ago
8 0

Answer:

36

Step-by-step explanation:

The maximum height is the y-coordinate of the vertex

given a quadratic in standard form : ax² + bx + c : a ≠ 0

then the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = - x² + 20x - 64 is in standard form

with a = - 1, b = 20 and c = - 64, hence

x_{vertex} = - \frac{20}{-2} = 10

substitute x = 10 into the equation for y

y = - (10)² + 20(10) - 64 = 36 ← max height


You might be interested in
Which does the P stand for in the surface area of prisms formula?
Sidana [21]

Answer:

A

Step-by-step explanation:

perimeter of the base...

7 0
3 years ago
Mr. Niles used 5/12 of a carton of eggs to make breakfast Saturday. He used 2/12 of the carton on Sunday. How many more eggs did
Alla [95]

Answer:

hey guys this is my other account

Step-by-step explanation:

6 0
3 years ago
Mario invests £2000 for 3 years at 5% per annum compound interest. Calculate the value of the investment at the end of 3 years.
Delicious77 [7]

Answer:

$2315.25

Step-by-step explanation:

Given data

Principal=  £2000

Time= 3 years

Rate= 5%

The compound interest expression is

A= P(1+r)^t

substitute

A= 2000(1+0.05)^3

A= 2000(1.05)^3

A= 2000*1.157625

A= 2315.25

Hence the Amount is $2315.25

7 0
3 years ago
Solve each question for X , y=-9+x^2
aleksandrvk [35]
So basically you want to isolate only one of the variable on one side so
y=-9+x^2
add 9 to both sides
y+9=x^2
square root both sides
\sqrt{y+9}=x

x=\sqrt{y+9}
5 0
3 years ago
Read 2 more answers
A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th
AlladinOne [14]
\bf \begin{array}{lllll}
round(x)&\boxed{1}&2&3&\boxed{4}\\\\
wrestlers[f(x)]&\boxed{64}&32&18&\boxed{9}
\end{array}
\\\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)=   \qquad 
\begin{cases}
x_1=1\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{9-64}{4-1}\implies \cfrac{-55}{3}

55 over 3, or 55 wrestlers for every 3 rounds, but the wrestlers value is negative, thus 55 "less" wrestlers for every 3 rounds on average.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Canvas- $7.25, Art brushes- $1.29 each, Basic paint- $22.99, Q in. dowel- $2.00, 1/2 in. dowel- $1.50, 1/4 in. dowel- $1.00, 1 j
    5·1 answer
  • The area of a circle A is 85π ft2. ∠BAC is a central angle of the circle, and m∠BAC = 36°
    13·1 answer
  • Find the exact value expression. tan^-1 (0)
    13·2 answers
  • Direction: Choose the letter of the correct answer and encircle the letter that corresponds to it.
    9·1 answer
  • Please help!!! I have a chance to get $50 if I get all of these questions right!!
    6·1 answer
  • you deposit $2000 in an account earning 6% interest compounded continuously. How much will you have in the account in 15 years?
    9·1 answer
  • Is this image complementary supplementary or niether
    13·2 answers
  • Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comm
    6·1 answer
  • 1/2bh for b=8 and h=11
    5·1 answer
  • Juan needs to rewrite this difference as one expression. First he factored the denominators. What step should Juan take next whe
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!