Step-by-step explanation:
Starting with f(x)
f(x)
f(-x) ...... reflection in the y - axis
f(-x+2) ..... horizontal translation by 2 units in the negative x-direction
f(-x+2) + 6 ...... vertical translation by 6 units in the positive y-direction
4f(-x+2) + 6 ..... scaling (or dilation) by a factor of 4
-4f(-x+2) + 6 ..... reflection in the x-axis
In the given equation above, it can be deduced that 2 subtracted from 3 times Yuri's age is equal to the age of Karina which was given to be twelve. This statement is similar to that which is given in the choice number four. Thus, the answer is D.
Answer:
Step-by-step explanation:
Answer:
Victor gives 28 tools to IIya.
Step-by-step explanation:
Consider the provided information
The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2
Let V represents the Victor and I represent llya
Therefore,

It is given that Victor has 42 more tools than Ilya.

Solve the above equation.




Thus, IIya has 28 tools.
Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.
Victor has 70 tools.
We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4
Let Victor gives x tools to IIya. Thus,





Hence, Victor gives 28 tools to IIya.
Answer:
x=S+bc/b+c
x=S−2ab/2(a+b)
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=S+bcb+c
Isolate the variable by dividing each side by factors that don't contain the variable.
x=S−2ab2(a+b)