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lorasvet [3.4K]
3 years ago
6

The table shows the cost of a large pizza with additional toppings on it. Which equation, in palnt-slope form, represents the re

lationship between the number of
toppings and the cost of the pizza? Place the correct answer in the answer box
Toppings
Cost ($)
2
10.50
3
11.25
5
14.25
Your answer:
OV-2 -1.25(x - 10.50)
V +2 -1.25(x + 10.50)
V-1050 151-2)
o
Lenovo
O 10:29
He Chromebook
Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

what?

Step-by-step explanation:

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

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