We have been given a parent function 
and we need to transform this function into 
.
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to 
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes 
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
The final grade of fran can be calculated
by multiplying the corresponding percentage of his average homework, quizzes
and tests, then sum it up and it is now the final grade of fran.
Final grade = (0.10 x 92) + ( 0.20 x 68) +
(0.70 x 81)
<span>Final grade = 79.5 </span>
Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
Sara's bank account has a debt of $25. Sofia's bank account has a balance of $7. Who has more money in their bank account? Write an inequality explaining the answer.
