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lesya [120]
3 years ago
12

How many solutions for the system of equations 4x + 6y = 12,6x +9y = 18

Mathematics
1 answer:
Mariana [72]3 years ago
3 0

Answer:

infinite number of solutions

Step-by-step explanation:

Given the 2 equations

4x + 6y = 12 → (1)

6x + 9y = 18 → (2)

Equation (2) is a multiple of (1)

Each term has been multiplied by 1.5

Thus the 2 equations are basically the same equation.

This indicates there are infinite solutions to the system

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A data set consists of the following data points: <br><br> A.P.E.X. Algebra 1 Sem 2
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C, y=4.5

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4. Here are the equations that define three functions.
luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

  • The function value that is largest is h(-100)
  • The function value that is largest is h(-100)
  • The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) = x/4 -5

At x = 100, we have:

f(100) = 4 * 100 - 5 = 395

g(100) = 4 * (100 - 5) = 380

h(100) = 100/4 - 5 = 20

Hence, the function value that is largest is f(100)

At x = -100, we have:

f(-100) = -4 * 100 - 5 = -405

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h(-100) = -100/4 - 5 = -30

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

f(1/100) = 4/100 - 5 = -4.96

g(1/100) = 4 * (1/100 - 5) = -19.96

h(1/100) = (1/100)/4 - 5 = -4.9975

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

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2 years ago
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