Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

5 0

3 years ago

What is x² + 7x - 30

Aleonysh [2.5K]

Are you looking for the value of x?

We can complete the square/factor:

x^2+7x-30=0

(x+10)(x-3)=0

By the zero product property rule, we have two equations, x+10=0 and x-3=0.

So the zeroes of x are -10 and 3

Hope this helped. Comment below if this didn't make sense.

6 0

4 years ago

A transformation is given by the rule (x,y) → (x +3, y - 8). Which of the following describes the effect of this transformation

-BARSIC- [3]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

State the y-coordinate of the y-intercept for the function below.

marta [7]

Answer:

Step-by-step explanation:

y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.

$f(x)=x^{3}-x^{2} -x+1$

Substituting x = 0 in this function, we get:

$f(0)=0^{3}-0^{2}-0+1=1$

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)

3 0

3 years ago