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
tresset_1 [31]
2 years ago
9

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Mathematics
1 answer:
Sergio [31]2 years ago
8 0

Answer:

The vertex is (5, -9).

Step-by-step explanation:

One way of approaching this problem consists of finding the roots.  Seet the quadratic equal to zero and solve for x:  {2, 8}.

The axis of symmetry is exactly halfway between 2 and 8:  x = 5.

Now find the y-component of the vertex by evaluating f(5):

f(5) = (5 - 8)(5 - 2) = -9

The vertex is (5, -9).  This is the minimum value of the function.  The graph of this quadratic opens up.

You might be interested in
Oscar is 16 yrs old and his sister is 12. what will be the ratio of Oscar's age to his sister's age in 2 years?Write as a fracti
just olya [345]
Oscar's age = 16
Sister's age = 12

Current year: 16 / 12
Simplest form: 4 / 3 ; both are divisible by 4.

2 years after: (16 + 2) / (12 + 2) = 18 / 14 ; add two years to both numbers.

Simplest form: of 18 / 14 is 9 / 7; both are divisible by 2.

4 0
4 years ago
Read 2 more answers
-3=t-5s<br> Solve for t<br> I need work shown and I’m so confused on this!!
slega [8]

Answer:

t=5s-3

Step-by-step explanation:

Flip the equation:

5s+t=-3

then add 5s to both sides:

-5s+t+5s=-3+5s

then solve:

5s-3=t

4 0
3 years ago
{2x + 3y = 5}{ y= 5 x -4}
Natasha_Volkova [10]

Solve the system using substitutions:

\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}

x has a value of 1. Use this value to find the value of y.

\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}

y has a value of 1.

x=1

y=1

8 0
2 years ago
Find the area of each parallelogram plz help
xxTIMURxx [149]
Answer:  The area of the parallelogram is:
_______________________________________________________
\frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
 A = base * height = b * h ;

From the figure (from the actual "question"):
_______________________________________
         b = 50.5 in.

         h = 23.25 in.
____________________________________________________________
Method 1)  A = b * h =
                 
                     =  (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as:  1174 <span>⅛ .
</span>____________________________________________________________
Method 2)  A = b * h =
             
                      =  (50 ½ in) * (23 <span>¼ in) =
   
                      =    (</span>\frac{101}{2} in) * (\frac{93}{4}<span> in) ;
</span>___________________________________________________________
Note:  "50 ½ " = [(50*2) + 1 ] / 2  = \frac{101}{2} ;

Note:  "23 ¼ " = [(23*4) + 1 ] / 4  = \frac{93}{4} ;
____________________________________________________________
→  A =  (\frac{101}{2} in) * (\frac{93}{4} in) ;
 
→  A = \frac{(101*93)}{(2*4)}  in² = \frac{9393}{8}  in² ; 
          
→  A = (9393/8) in² =  
         
→  A  = \frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
________________________________________________________
5 0
3 years ago
A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level
amid [387]

Because the tree is the halfway point, the building would be twice as tall:

The building is 38 x 2 = 76 feet tall.

3 0
3 years ago
Read 2 more answers
Other questions:
  • C. Assume someone has an average balance account with a bank that costs $35 a month but earns
    7·1 answer
  • Sherlock put two tomato plants in his garden. The first tomato plant produced 20 tomatoes in a 2-day period. The second tomato p
    12·2 answers
  • steve paid 10% tax on a purchase of 40$ . select the dollar amount of the tax ad the total dollar amont steve paid on the number
    6·2 answers
  • Lenny said all of multiplies of 8 are also multiplies of 2 GM Lea said all of multiplies of 8 are also multiplies of 4 who is co
    12·1 answer
  • Matt had a full jar of marbles. He gave Kayla 3/4 of the marbles. Then Kayla returned 1/3 of a jar's worth of marbles to the jar
    10·2 answers
  • Simplify the expression 5(z+6)=
    7·2 answers
  • HELP ME PLEASE IF YOU WANT :(
    7·2 answers
  • What is the Y intercept of this line x:32,48,64 Y:22,17,12
    12·1 answer
  • Please Help Me
    11·1 answer
  • Use pemdas (2 + 6) x 4 - 7 write 3 steps
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!