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Alborosie
3 years ago
15

-3x+2y=6 Find the intercepts. Show your work.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

The x-intercept is (-2,0)

The y-intercept is (0,3)

Step-by-step explanation:

An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:

-3x+2y=6\\-3x+2(0)=6\\-3x=6\\x=-2

So, the x-intercept is (-2,0).

Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:

-3x+2y=6\\-3(0)+2y=6\\2y=6\\y=3

Thus, the y-intercept is (0,3).

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The second-degree polynomial function f(x) that has a lead coefficient of 4 and roots 5 and 2 is f(x) = 4x² -28x + 40. The correct option is the last option f(x)=4x²-28x+40​

<h3>Quadratic equation</h3>

From the question, we are to determine which second-degree polynomial function f(x) has a lead coefficient of 4 and roots 5 and 2

To determine this, we will use the given roots to determine the equation

The roots are 5 and 2

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x = 5 and x = 2

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Distributing

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Now, multiplying through by 4, we get

4x² -28x + 40 = 0

Thus, the function becomes f(x) = 4x² -28x + 40

Hence, the second-degree polynomial function f(x) that has a lead coefficient of 4 and roots 5 and 2 is f(x) = 4x² -28x + 40. The correct option is the last option f(x)=4x²-28x+40​

Learn more on Quadratic Equation here: brainly.com/question/19257086

#SPJ1

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