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
Sonbull [250]
3 years ago
11

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

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)

another way to do it: 
f(x)=x²-10x+16
the vertex is when x=-\frac{b}{2a}, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
You might be interested in
Solve for :<br> -2x - 8 =-6x + 4<br> A)1. B)2. C)3. D)1/2
gizmo_the_mogwai [7]
Your answer would be letter C
6 0
3 years ago
a team played 18 games during the season. the team lost 8 games and won the rest. what is the ratio of wins to losses
Westkost [7]

8 out of 18 games. That 8/18 simplify to 4/9 ?

7 0
3 years ago
Jack is 1.78 m tall.<br> Amy is 5 cm taller than Jack.<br> How tall is Amy?
irakobra [83]

Answer:

1.83

Step-by-step explanation:

1.78 + 5 cm

because it says she is taller so you add both

4 0
3 years ago
50 POINTS! I MARK BRAINLEST AND SAY THANKS!
Phantasy [73]
Y *x =20

y +x =9

rewrite 1st eq. as y = 20/x

subsituute that into 2nd eq.

20/x +x =9

multiply each term by X

20 +x^2 = 9x
 subtract 9x from each side:

x^2 - 9x +20 = 0

now factor:

(x-5) (x-4) = 0

solve for x
5-5 = 0
 4-4 = 0

so X can be 4 or 5

replace x into equations and solve for Y

 so when X = 4, Y = 5
 When X = 5, Y = 4

x= 5,4
y = 4,5



5 0
4 years ago
Read 2 more answers
Beth walked around her neighborhood and 1/2 of an hour she walked 1 1/4 miles what was beths rate in miles per hour?
makvit [3.9K]

Answer: 2.5 miles per hour

Step-by-step explanation:     ok, so we already know how long she walked in 1/2 hour and we need to find out how many miles in one full hour. So, i multiplied 1 1/4 times two to make up the one full hour and I got 2.5 miles. So the rate is 2.5 mph.xplanation:

5 0
3 years ago
Other questions:
  • Evaluate the function for x=3; f(x)= -2x+10<br><br> please show your work
    13·2 answers
  • A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7
    6·1 answer
  • Graph the functions on the same coordinate plane.
    13·2 answers
  • Determine whether the series converge or diverge. If they converge, find the limits.a. an= (n^1/3)/(1-n^1/3)b. an = (n^1/3) - (n
    11·1 answer
  • What does 1/2 × 1/9 equal to
    5·2 answers
  • Help me with this question please
    10·1 answer
  • Put <br> –<br> 44, <br> –<br> 95, and <br> –<br> 27 in order from least to greatest
    15·2 answers
  • Find the slope and the y-intercept of the graph of the linear equation. Then, graph the equation
    11·1 answer
  • A .720 divided by 9 <br> B.720 divided by 90<br> C.7,200 divided by 90 <br> D.7,200 divided by nine
    9·1 answer
  • Which three points are collinear?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!