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Zigmanuir [339]
3 years ago
6

13. Find the vertex of f(x)=x2 -6x +8 .

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

9514 1404 393

Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

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How does a residential survey help buyers?
Gnoma [55]
<span>C) buyers are aware of the accurate measurements of the property. A residential survey is also known as a boundary survey and is used to determine the boundaries of a piece of property. It is generally required as part of the process of building new construction on a property to insure that the construction doesn't cross the property line and intrude on someone else's property. With this in mind, only option "C" reflects what a residential survey is.</span>
3 0
3 years ago
Read 2 more answers
The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from th
Bas_tet [7]

Answer:

14.3 feet.

14.3 feet

Step-by-step explanation:

The problem forms a right triangle in which:

The Vertical Leg of the Right Triangle = 3 feet

The Horizontal Leg of the Right Triangle =14 feet

We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,

Using Pythagoras Theorem

Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.

5 0
3 years ago
The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.
Sergeu [11.5K]

Answer:

The sum of two numbers is 18.

5 times the first number subtracted from 4/7 of the second number is 14.

First number --> x

Second number --> y

so

x + y = 18 --> x = 18-y

5x - (4/7)y = 14

so

5 (18-y) - (4/7)y = 14

90 - 5y - 4/7 y = 14

-5.57 y = 14-90

y = 13.64

so

x = 18 - 13.64

x = 4.36

8 0
3 years ago
The domain of the function is all<br> The range of the function is all
kondaur [170]

The domain of a function is the set of all the x terms of the function and the range of a function is the set of all the y terms of a function.

For example, take a look below.

The domain is the set of all x terms in each ordered pair and the

range will be the set of all the y terms in each ordered pair.

7 0
3 years ago
Please help!!
spayn [35]
Im pretty sure that it would be 4 but not sure

6 0
3 years ago
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