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Travka [436]
3 years ago
14

F(x) = x ^ 2 + 6x - 4 in vertex form

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

f(x) = (x + 3)² - 13

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

Given

f(x) = x² + 6x - 4

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 4

f(x) = (x + 3)² - 13 ← in vertex form

Svetach [21]3 years ago
5 0

Answer:y=(x-6)^2-4

Step-by-step explanation:

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What is the total cost of a $2,099 couch including the 6.5% sales tax?​
fomenos

Answer:

$2422

Step-by-step explanation:

2099/6.5=322.923076923 (were rounding that to 323)

so 2099+323=2422

8 0
3 years ago
Read 2 more answers
(could someone help me with this? thanks!)
Rashid [163]

Answer:

13/6x + 6

Step-by-step explanation:

combine using like terms and you get

4/6 x + 5

3/6x + 1

x

=

13/6x + 6

8 0
3 years ago
|7m–56|, if m<8 write without using absolute value
Ilia_Sergeevich [38]

Answer:

56-7m

Step-by-step explanation:

l7m–56l m<8

so lets replace m with something smalller then 8, how about 7

so then it would be...

l 7 * 7 - 56 l=

l 49-56 l = l -7 l

but the absulute value of -7 is 7, so how does this help us? well lets see

56-49= 7  this proves that all we have to do is  switch the order giving us the solution 56-7m

hope this helped :)

4 0
4 years ago
What is the length of AC?
Alexxandr [17]

Answer:

AC = 6

Step-by-step explanation:

x= 6

If you  need work I can send it

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
grigory [225]

Answer:

Therefore

x=27

WX=85\ unit\\\\XY=85\ unit\\\\WY=104\ unit

Step-by-step explanation:

Given:

triangle WXY is an isosceles triangle,

WX ≅ XY

WX = 6x-77

XY = 3x+4 and

WY = 5x-31

To Find

x = ?

measurements of each side  = ?

Solution:

Δ WXY is an Isosceles Triangle ..Given

WX ≅ XY  ...........Given

Substituting the values we get

6x-77=3x+4\\\\6x-3x=77+4\\\\3x=81\\\\x=\dfrac{81}{3}\\\\\therefore x=27

Now Substituting 'x' in WX, XY, and WY we get

WX=6\times 27-77=85\ unit\\\\XY=3\times 27+4 =85\ unit\\\\WY=5\times 27 -31=104\ unit

Therefore

x=27

WX=85\ unit\\\\XY=85\ unit\\\\WY=104\ unit

8 0
3 years ago
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