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3 years ago

What is the equation of a quadratic function that has zeros -6 and -2?

Mathematics

1 answer:

kozerog [31]3 years ago

4 0

Answer:

$y=x^{2} +8x+12$ is the quadratic function.

Step-by-step explanation:

We know that -6 and -2 are the zeros. So, they are both equal to x.

x = -6 and x = -2

Add them to x.

(x + 6) (x + 2)

Now, multiply the two binomials together.

$x^{2} +6x+8x+12$

Combine like terms.

$y=x^{2} +8x+12$

$y=x^{2} +8x+12$ is the answer.

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What are the requirements for an experiment to be able to show that changes in one variable cause changes in another?

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ANSWER;

Variables

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Write an expression that represent the following. Add the sum by 5. Next, add 15 to that product,then triple the results.

Irina-Kira [14]

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4 years ago

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kolezko [41]

Answer:

y intercept = 5

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In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

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Population 820 quake increases an annual rate of 22% so what will the approximate population be after 3 years?

ss7ja [257]

The general form of exponential function ⇒⇒ $a * b^x$
Where: a is the initial value and b is the rate
b > 1 ⇒⇒ exponential growth or exponential increase
b < 1 ⇒⇒ exponential decay or exponential decrease

Given: The initial population = 820
The annual rate = 23% = 0.23
The total ration between the adjacent years = 1+0.23 = 1.23

So, the exponential function to model this population is
$f(x)= 820*1.23^x$

After 3 years ⇒⇒⇒ x = 3
∴ $f(x) = 820 * 1.23^3 = 1,525.91$ ≈ 1,526

The correct answer is:
$f(x)= 820*1.23^x$ ; 1,526

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4 years ago