The present age of Alex is ‘y’ years. Answer the following

Response:

The third option is correct

Step-by-step explanation:

What is the inverse of y = 7x^2 – 10?

y = ±√(x + 10) / 7

y = ±√((x + 10) / 7)

x = ±√(x / 7) + 10

y = ±√(x) / 7 ± √(10) / 7

The transformation sequence that maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis combined with a translation of 6 units in the x direction and -5 units in the y direction.

Step-by-step explanation:

Let's break down the reflection across the y-axis, horizontal translation, and vertical translation:

1. For point (x, y), reflecting it across the y-axis gives the point (-x, y).

2. Translating point (x, y) h units to the right results in (x + h, y), and h units to the left results in (x - h, y).

3. If point (x, y) is moved k units up, it becomes (x, y + k), and if moved k units down, it is (x, y - k).

∵ The vertices of triangle BCD are (1, 4), (1, 2), (5, 3).

∵ The vertices of triangle B'C'D' are (-1, 4), (-1, 2), (-5, 3).

∵ The x-coordinates of ΔB'C'D' have the same absolute value as those of ΔBCD but with opposite signs, indicating that ΔB'C'D' results from reflecting ΔBCD across the y-axis.

∵ The vertices of triangle B'C'D' are (-1, 4), (-1, 2), (-5, 3).

∵ The vertices of triangle B''C''D'' are (5, -1), (5, -3), (1, -2).

∵ The reflected x-coordinate -1 becomes +5, and -5 becomes +1,

thus the x-coordinates of triangle B'C'D' are increased by 6.

∵ The images of 4, 2, and 3 yield -1, -3, and -2 respectively,

hence subtracting 5 from the y-coordinates of triangle B'C'D' leads us to ΔB"C"D" through a translation of 6 units right and 5 units down ⇒ (x + 6, y - 5).

The transformation sequence that maps ΔBCD to ΔB"C"D" is:

Reflection across the y-axis combined with a translation of 6 units in the x direction and -5 units in the y direction.

Learn more:

You can explore more about reflection at

The initial step is to analyze the graph's behavior.
 It doesn’t follow a linear pattern, as the rate of change is inconsistent.
 It also isn’t exponential since the change rate doesn't fluctuate significantly.
 For this scenario, the most suitable regression model would be of the type:
 
 Where,
 a <0: This indicates that the parabola opens downwards.
 Hence, the most appropriate regression model is quadratic.
 Answer:
 From visual analysis, the most fitting regression model for the data observed is:
 A. Quadratic

you can set this up with the equation;

x + (x + 42) = 138

start by combining like terms;

2x = 138 - 42

2x = 96

x = 96/2

x = 48

we've found x now plug it back into the original equation.

48 + (48 + 42) = 138

48 + 90 = 138

hope it helped...if you have any concerns just let me know:) 

Define x as the first mile marker, thus x + 1 corresponds to the second mile marker. This can be expressed as x + (x + 1) = 561, which simplifies to 2x + 1 = 561. Therefore, 2x equals 560, leading to x being 280. Consequently, the first mile marker is 280, and the second mile marker is 281.