Answer:
1st statement is true
2nd is false (amplitude is (max - min) ÷ 2 so (5.8 - 4.6) ÷ 2 = 0.6)
3rd is true
4th is false (frequency is the reciprocal of period, they can't be the same)
400 - 2x = 244
-2x = 244 - 400
-2x = -156
x = -156 / -2
x = 78
Answer:
Figure A - hexagon
Figure B - triangle
Figure C - rectangle
Figure D - octagon
Step-by-step explanation:
If figure B has 3 vertices (angles), then that means it is a triangle (3 sides)
So that means figure A has 6 sides, (hexagon)
And figure D has 8 vertices, so 8 sides (octagon)
And if C has half as many, that would be 4 (rectangle)
Answer:
22.5miles
Step-by-step explanation:
For Map 1;
1 inches = 30miles
For Map 2:
2 inches = 15miles
1 inches = x
2x = 1 *15
x = 15/2
x = 7.5miles
This means that 1 inch represents 7.5miles on Map 2'
The distance between the two cities in miles = 30miles - 7.5miles
The distance between the two cities (in miles) = 22.5miles
We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
