The given function is,
The graph can be drawn as,
The period will be distance between two consequetive maximas,
Thus, period is correct.
The amplitude can be determined as,
Thus, amplitue is incorrect.
The range is,
Thus, the range is correct.
The midline is,
Thus, the midline is correct.
Thus, option (b) is the solution.
Answer:
x = 5.4
Step-by-step explanation:
(This question has already been answered, but both of the incorrect ones were deleted, so for future reference...)
Fig A is a scale image of Fig D. These two quadrilaterals are similar, and thus, the side lengths of corresponding sides are proportional. Set the proportion x/3 = 7.2/4 (you could alternatively write it as x/7.2 = 3/4 but for the simplicity's sake, and assuming anyone who has this problem would already know how to solve proportions like these...)
7.2/4 = 1.8
so
x/3 = 1.8
now multiply both sides by 3 to get x = 5.4
Answer: y = -2x - 5
Step-by-step explanation:
The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.
from the equation given,
y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line
y = mx + c to get the value of , the y - intersect.
-3 = -2 x -1 + c
-3 = 2 + c
solve for c
c = -3 - 2
c = -5.
now , to have the equation of the line , we put c = -7 into the equation
y = mx + c
y = -2x - 5
Therefore the equation of the line parallel to the line
y = -2x + 8 is
y = -2x - 7
Answer:
a < 16
Step-by-step explanation:
We must get a alone to solve this. So first multiply by 2
3a/2 < 24
*2
3a < 48
Divide by 3
a < 16
