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Charra [1.4K]
3 years ago
10

Write a quadratic function f whose zeros are 3 and 12. f(x) = ?

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

The above equation is a quadratic function whose zeroes are 3 and 12.

Step-by-step explanation:

The general quadratic equation is given by :

ax^2+bx+c=0

It is given that, the zeroes of a quadratic function are 3 and 12. It means they must be factors of it such that,

(x-3)=0\\\\(x-12)=0

So, we can write as :

(x-3)(x-12)=0

Multiplying both factors,

(x-3)(x-12)=0\\\\x^2-12x-3x+36=0\\\\x^2-15x+36=0

So, the above equation is a quadratic function whose zeroes are 3 and 12.

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The quadrilateral have equal opposite sides, for example:

Then, (4x + 6) must be equal to (7x - 3), and (4y - 3) is equal to (3y + 1), therefore

4x+6=7x-3

We can solve that equation for x

\begin{gathered} 4x+6=7x-3 \\  \\ 3x=9 \\  \\ x=\frac{9}{3}=3 \end{gathered}

Hence, x = 3. Now let's solve the other equation

\begin{gathered} 4y-3=3y+1 \\  \\ y=4 \end{gathered}

Then the value of y is 4.

Final answers:

x = 3

y = 4

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At Pizzazz Pizza, the total price for 5
ira [324]

Answer:

The answer to your question is $9.5

Step-by-step explanation:

Data

Large pizza = L

Medium pizza = m

Write equation for both situations

Situation 1    5L + 2m = 81.5

Situation 2    4L + 3m = 78.5

Solve the system of equation by elimination

Multiply situation 1 by -3 and situation 2 by 2

                    -15L  - 6m = -244.5

                       8L + 6m =  157

                      -7L           = -87.5

Solve for L                  L = -87.5/-7

                                   L = $12.5

Substitute L in Situation 1 to find m

                     5(12.5) + 2m = 81.5

                       62.5 + 2m = 81.5

                                    2m = 81.5 - 62.5

                                    2m = 19

                                      m = 19/2

                                      m = $ 9.5

The prize of a medium pizza is $9.5

8 0
3 years ago
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