Determine the x intercepts of the piecewise function in the image that I sent.

Mathematics

1 answer:

Amanda [17]2 years ago

3 0

To find the x intercept of the function, we would find g(x) = 0

To do this, we would set each expression in the piecewise function to zero and solve for x. We have

For

x/3 + 2 = 0

let us multiply both sides of the equation by 3. We have

x/3 * 3 + 2 * 3 = 0 * 3

x + 6 = 0

x = - 6

- 6 is less than - 1

- 6 < - 1

It satisfies the inequality. Thus, x = - 6 is in the domain

For

4x - 2 = 0

adding 2 to both sides of the equation, we have

4x - 2 + 2 = 0 + 2

4x = 2

Dividing both sides of the equation by 4, we have

4x/4 = 2/4

x = 1/2

x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2

Therefore, the x intercept of the piecewise function is (- 6, 0)

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Use the information provided to write the equation of each circle. Photo attached

alina1380 [7]

Answer:

( x + 4 )^2 + ( y - 15 )^2 = 1; Option A

Step-by-step explanation:

~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~

1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:

( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2

2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2

3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.

Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1

5 0

3 years ago

What are the factors of -100 that will = zero?

Karolina [17]

Answer:0

Step-by-step explanation:

Because it is a 0

7 0

4 years ago

PLZ help super fast thanks

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