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
algol13
3 years ago
6

What is the x-intercept of the graph of the function f(x)=x2-16x+64?

Mathematics
2 answers:
bekas [8.4K]3 years ago
7 0

Answer:

x-intercept: (8,0)

Step-by-step explanation:

Given: f(x)=x^2-16x+64

For x-intercept, Put y=0 and solve for x.

x-intercept: It is a point where y-coordinate zero.

x^2-16x+64=0

x^2-8x-8x+64=0

(x-8)(x-8)=0

Equate each factor to 0 and solve for x

x-8 = 0    , x-8 = 0

x=8,8

x-intercept: (8,0)

Hence, The x-intercept is 8.

Katena32 [7]3 years ago
3 0
X=8 

Explanation: 
f(x)=x^2-16x+64+(x-8)^2

You see there is a double x- intercept by the 8. So the parabola is tangent to the x axis. So x=8 f(x)=0 

hope this helps <span />
You might be interested in
Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
6 0
3 years ago
Is 16 over 5 rational or irrational or not a real number
kotykmax [81]
16/5= 3 1/5 
Rational
Irrational numbers never end and can't be written as a fraction. Ex. pi
7 0
3 years ago
Read 2 more answers
“Two lines in a plane always intersect in exactly one point.”
arsen [322]
The answer is B.
Parallel lines as they are in the same plane but never meet.
3 0
3 years ago
A rectangle has a length of 14 inches more than twice its height. If the perimeter of a rectangle is 370 inches, find its dimens
Triss [41]
The length equals: 28 then height equals 13.2 because you do perim divide by length which gives you height, then u check and do 13.2 times 28 and get 369.6 then you just round the 6.
7 0
3 years ago
If KM = NO and KM = PQ, then NO = PQ.
charle [14.2K]
The property shown is a B: substitution property, this is when you you the know that X=Y so X can be substituted in any equation with Y and Y can be substituted in any equation with X. hope this helps 
8 0
3 years ago
Other questions:
  • A rectangle has a perimeter of 28 units, an area of 48 square units, and sides that are either horizontal or vertical. If one ve
    6·1 answer
  • When a number is decreased by 25%, the result is 22. What is the original number to the nearest tenth?
    8·1 answer
  • In order to estimate the mean amount of time computer users spend on the internet each​ month, how many computer users must be s
    9·1 answer
  • Which triangle is a 30°-60°-90° triangle?
    13·2 answers
  • Which shows all the names that apply to the figure?
    13·2 answers
  • vvfootnav goRight" data-bind="click: function() { if(this.NextObjectType &amp;&amp; this.NextObjectType.indexOf('A') === 0){ doc
    14·2 answers
  • The equivalent ratios are 2 : 9, 12 : <br> , and <br> : 45.
    14·1 answer
  • The model represents an equation. What value of x makes the equation true?
    11·1 answer
  • the lenght of a rectangular field is twice its breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. what i
    13·2 answers
  • Why do you have a premium? That's :(
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!