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lutik1710 [3]
3 years ago
13

What is the vertex of the quadratic function f(x) = (x - 6)(x + 2)?

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0
The vertex is (2,-6)
IRINA_888 [86]3 years ago
5 0

Answer:

(2,-16)

step 1 = f(x) = (x-6)(x+2)

step 2 = (x-2)^2-16

step 3 = y = (x-2)^2-16

step 4 = a=1, h=2, k = -16

step 5 = (2,-16)

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Problem #2: A piece of wood that is 15 feet long is out in half. Each half is then cut into twelve
garri49 [273]

Answer: Each peice of wood is equal to 0.625

Step-by-step explanation:

15/2 = 7.5

7.5/12 = 0.625

4 0
3 years ago
Find the common difference for the sequence shown: [1/5, 13/40, 9/20...)
bazaltina [42]
<h3>Answer:  1/8</h3>

Explanation:

Pick any term and subtract off the previous term to get the common difference.

So,

13/40 - 1/5 = 13/40 - 8/40 = (13-8)/40 = 5/40 = 1/8

Or

9/20 - 13/40 = 18/40 - 13/40 = (18-13)/40 = 5/40 = 1/8

The positive common difference value indicates this arithmetic sequence is increasing.

6 0
2 years ago
Sa se gaseasca numerele a si b a caror medie aritmetica este 200 si care sunt invers proportionale cu 8 si respectiv 4,5.
Olenka [21]
Bonjour, (as you write in roumain)

Soient a et b les 2 nombres

(a+b)/2=200==>a+b=400

8/a=4.5/b==>16b=9a

a+9a/16=400
==> 25a/16=400
==>a=400*16/25
==>a=256
et b= 9*256/16; b=144

3 0
3 years ago
Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is −6. The distance between point A and point B is 15 units. What
xxTIMURxx [149]

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)

4 0
2 years ago
Use the picture to answer. Which real number is not both an integer and a whole number?
Korolek [52]
A is the correct answer because negative number is know as intergers but not a whole number!!
8 0
3 years ago
Read 2 more answers
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