MATHEMATICS HIGH SCHOOL

Write y=2x^2-12x+16 in vertex form

Answers

Answer 1

Answer:

Answer:

y = 2 $(x - 3)^(2)$ - 1

Step-by-step explanation:

y = 2 $x^(2)$ - 12x + 16

y = 2( $x^(2)$ - 6x + 8) ( Factor out 2 )

y + 9= 2( $x^(2)$ - 6x + 9) + 8 ( Complete the square $((-b)/(2) )^(2)$ ) Add 9 both sides

y + 9 = 2 $(x - 3)^(2)$ + 8 (Subtract 9 each side)

y = 2 $(x - 3) ^(2)$ - 1 ( simplify )

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What is the answer for -5x-4=?

Answers

if you want to solve for x
-5x-4=?
add 4 to both sides
-5x=4+?
divide both sides by -5
x=(4+?)/-5
x=-(4+?)/5

Add 4 to each side to get -5x=4+?. then divide each by 5, -x=(4+?)/5 then make x positive and 4/5 negative! x=-(4+?)/5. Hope this helped!

A rope.Measure 60cm was divided into 2 groups . 1 was used to make a rectangle of length 12cm and breadth 6cm. And the other was used to make a hexagon . What is the size of the hexagon in each side

Answers

Answer:

4cm

Step-by-step explanation:

Firstly, we need to know the perimeter of the rectangle so as to know the length used to make the rectangle. This is 2(l + b)

P = 2(12 + 6) = 2(18) = 36cm

The length remaining to make the hexagon would be 60 - 36 = 24cm

Now since the hexagon is regular, the length of each side would be 24/6 = 4cm

Note: hexagon is a polygon with 6 sides

What is it fast tell me

Answers

d is the answer to this

A two pound box of spaghetti costs $2.50. Philip says that the unit cost is 2/2.50 =$0.80 per pound. Explain his error

Answers

Answer

Find out the Philip error.

To prove

As given

A two pound box of spaghetti costs $2.50.

$Philip\ says\ that\ the\ unit\ cost\ is\ (2)/(2.50) is\ equal\ 0.80\ dollar\ per\ pound.$

Philip calculated the unit cost by wrong method he divided weight by the cost which is wrong.

2 pound box of spaghetti costs = $2.50

$one\ costs\ of\ box = (Total\ cost\ of\ two\ pound\ cost)/(Total\ pounds)$

$unit\ cost\ of\ box = (2.50)/(2)$

unit cost of box = $1.25

Therefore the unit cost of box is $1.25 .

2.50 / 2 = 1.25 not .80It also looks like you are trying to divide the spaghetti boxes by the price, when it should be price by number of boxes.

Simplify the expressing by combining like terms
1 + 3x - 8x + 7

Answers

$\huge\text{Hey there!}$

$\large\textsf{1 + 3x - 8x + 7}$

$\large\text{COMBINE the LIKE TERMS }$

$\large\textsf{ (3x - 8x) + (1 + 7)}$

$\large\textsf{3x - 8x = \bf -5x}$

$\large\textsf{1 + 7 = \bf 8}$

$\large\textsf{= -5x + 8}$

$\boxed{\boxed{\large\text{Answer: \huge \bf -5x + 8}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

What is 2v+7=3 of this equation

Answers

$2v+7=3 \n\n 2v=3-7 \n\n 2v=-4 \ \ |:2 \n\n \boxed{v=-2}$

2v + 7 = 3
- 7 - 7
2v = - 4
v = - 2

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