Answer:
See explanation
Step-by-step explanation:
Given the function
1. To reflect the graph of the function f(x) over the y-axis, you should change the slope of the line in opposite. The slope of the function f(x) is 7, so the slope of the reflected function will be -7 and the expression of the reflected function will be
2. To translate the function g(x) 3 units left, add 3 units to x, thus the expression for the function will be
See attached diagram for details.
Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)
Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
576 students choose cheeseburgers
Step-by-step explanation:
Given: In a survey, it was determined that 40% of students preferred pizza, 32% of students preferred cheeseburgers, and 28% of students preferred tacos.
To find: Number of students out of 1800 who choose cheeseburgers
Solution:
Percentage of students who preferred cheeseburgers = 32%
Total number of students = 1800
Number of students out of 1800 who choose cheeseburgers =