Which rule should be applied to reflect f(x)=x^3 over the y-axis?
2 answers:
Answer:
Substitute in place for x.
Step-by-step explanation:
We have been given a function . We are asked to reflect our given function over the y-axis.
We know that after reflecting a function over y-axis, the y-coordinates remains same, while sign of x-coordinates changes to opposite.
The rule of reflection of a point over y-axis is .
Therefore, we need to substitute in place for x in our given function and simplify the equation.
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Answer:
Option B - and
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is
Therefore, The required system of equations form are
and
So,Option B is correct.
Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.
Proof:
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem,
Since a=b in an isosceles triangle:
Therefore, the next step is to Determine the principal square root of both sides of the equation.