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
insens350 [35]
2 years ago
5

Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9​

Mathematics
1 answer:
GalinKa [24]2 years ago
3 0

Answer:

vertex  = ( 4  ,  25 )

Step-by-step explanation:

given a parabola in  standard form  y =  a x 2 + b x + c x ; a ≠ 0

then the x-coordinate of the vertex is

X vertex=-b/2a

y=-x2+8x+9 with a=-1 b=8 c=9

X vertex= -8/-2=4

substitute the value on the equation

Y vertex = -(4)squared+8(4)+9=25

You might be interested in
If f(x) = 3x22, evaluate afI: ()k=1
Korolek [52]

Step 1: Write out the function given

f(x)=3x^2-x

Step 2: Interprete the question given

\sum ^5_{k\mathop=1}f(\frac{k}{2})

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}

Hence, the answer is 33.75

5 0
11 months ago
In the xy-plane, the equations x + 2 = 10 y and 3 +6 = x y c represent the same line for some constant c. What is the value of c
aalyn [17]

Answer:

C=30

Step-by-step explanation:

Supposing that we have the lines

x+2=10y

and

3x+6=Yc.

Note that dividing by 3 the second line can be rewritten as

x + 2= Y c/3.  

Remember that a line is written as ax+b=dY, in our case, both lines have a=1 and b=2. Therefore, in orther that the two lines are equal, we need that 10=c/3, hence c=30.

3 0
3 years ago
THE SHINKANSEN PASSENGER TRAIN OF JAPAN TRAVELS AT A RATE
OlgaM077 [116]

Answer:

srry need points

Step-by-step explanation:

r u sure thats college work

8 0
3 years ago
Somebody please help !
vovangra [49]

Answer:

Translation

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A team of runners is needed to run a 1/3-mile relay race. If each runner must run 1/9 mile, how many runners will be needed?
Alex Ar [27]

Answer:

3 Runners

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Can somebody help me please. It is a easy one
    5·2 answers
  • To find the standard equation for a circle centered at the origin, we use the distance formula, since the radius measures?
    9·2 answers
  • Missing digit of<br> 582<br> × 5
    13·1 answer
  • What is the greatest common factor Of 60 45 and 75
    5·2 answers
  • If 2 inches in the drawing represents 1 mile, which distance is closest to the length of
    8·1 answer
  • Is segment ST tangent to circle P1
    6·1 answer
  • I’ll make you brilliant<br> thank uu
    10·1 answer
  • If you can do this then pls do it correctly my report card is coming on Friday I want good grades :))
    11·2 answers
  • Target has a sale and a customer gets 2 free
    11·2 answers
  • Help me plz.........................................
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!