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2 years ago

What is the vertex form of: y = 3x^2 - 12x + 5

Mathematics

2 answers:

AVprozaik [17]2 years ago

8 0

Answer:

3(x-2)^2-7

Step-by-step explanation:

expanding gives you: 3(x^2-4x+4)-7=3x^2-12x+12-7=3x^2-12x7+5

Juli2301 [7.4K]2 years ago

7 0

Answer:The vertex form is -y=a(x-h)2+k

Step-by-step explanation:

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2 years ago

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lora16 [44]

Answer:

The equations are:

$4H + 3P = 13.75$

$2H + 5P = 11.25$

$Hotdog = 2.50$

$Pretzel = 1.25$

Step-by-step explanation:

Let:

$H = hot\ dog$

$P =Pretzel$

For Tina:

$4H + 3P = 13.75$

For Doug:

$2H + 5P = 11.25$

Solving for the price of both items:

We have:

$4H + 3P = 13.75$ --- (1)

$2H + 5P = 11.25$ --- (2)

Multiply (2) by 2

2 * ( $2H + 5P = 11.25$ )

-------------------

$4H + 10P = 22.50$ --- (3)

Subtract (3) from (1)

$4H + 3P = 13.75$

$4H + 10P = 22.50$

----------------------

$4H - 4H + 3P - 10P = 13.75 - 22.50$

$3P - 10P = 13.75 - 22.50$

$-7P = -8.75$

Solve for P

$P = \frac{-8.75}{-7}$

$P = 1.25$

Substitute 1.25 for P in (2)

$2H + 5P = 11.25$

$2H + 5 * 1.25 = 11.25$

$2H + 6.25 = 11.25$

Collect Like Terms

$2H = 11.25-6.25$

$2H = 5$

Solve for H

$H = \frac{5}{2}$

$H = 2.50$

3 0

2 years ago

If s store is selling boxes of pudding at 3 for $0.99,how much would 12 boxes cost

sweet [91]

Answer:

The cost price of 12 boxes of pudding is $3.96

Step-by-step explanation:

Given as :

The quantity of pudding boxes = 3

The cost price for 3 boxes = $0.99

Again ,

The quantity of pudding boxes = 12

Let The cost price for 12 boxes = $x

Now, According to question

Using Unitary method

∵ The cost price of 3 boxes of pudding = $0.99

or,The cost price of 1 boxes of pudding = $\dfrac{0.99}{3}$ = $0.33

∴The cost price of 12 boxes of pudding =$0.33 × 12

I.e x =$3.96

So,The cost price of 12 boxes of pudding = x =$3.96

Hence,The cost price of 12 boxes of pudding is $3.96 Answer

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