Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes
.
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
30 is 1.5 times greater than 20 so 48*1.5 = 72
it would take 72 chicken fingers to feed 30 students
Answer:
The answer here would be 0.
Step-by-step explanation:
If a and b are both equal distances from 0, then adding the together would equal 0. Since a is the inverse of b, using any number and its inverse will show you why the answer is 0. For example, if b is 9 then a would be -9. Adding these together equals 0.
Answer:
20% psyche test scores
Step-by-step explanation:
Given that every week, Bob plays the guitar for three hours, and his grade on each psych test is 75 percent.
Last week, after playing for three hours, Bob considered playing for an additional hour.
He decided to play for another hour and cut his study time by one hour, but last week his psych grade was 55 percent.
Bob's opportunity cost of the fourth hour of playing the guitar
=His cut in scores in psyche test
=20%
Answer:
x = 129°
Step-by-step explanation:
∠ ABD and ∠ DBC are a linear pair and sum to 180° , then
y + ∠ DBC = 180°
107° + ∠ DBC = 180° ( subtract 107° from both sides )
∠ DBC = 73°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then
x = ∠ DBC + z = 73° + 56° = 129°