Multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1
Answer:
75 degrees
Step-by-step explanation:
360/60=6 degrees per minute on a clock face
minute hand, from 12 o'clock position is 30 minutes so 30x6=180 degrees
hour hand, from 12 o'clock position is 17.5 minutes so 17.5x6=105 degrees
180-105=75 degrees
Answer: The width of the playing field = 45 ft
length of playing fiels = 86ft
Step-by-step explanation:
Step 1
Perimeter of rectangular field is given as 2 ( L+ b)
Let the width be represented as x
such that the length = 41 ft longer than the width be x+ 41
To find the length and breadth
Step 2
Perimeter = 2( L+ b)= 2l + 2b
Perimeter = 2 (x+41 ) + 2 x = 262
2x + 82 + 2x= 262
4x+ 82= 262
4x= 262 - 82
4x= 180
x= 180/4
x= 45
width= 45 ft
length = x+ 41= 45+ 41= 86ft
Answer:
Given an exponential function of the form
y = a*(b)^x
The values of b that will result in the desired percentage values are:
Case 1
b = 23% decrease
1 - 0.23 = 0.77
y = a*(0.77)^x
Case 2
b = 8% increase
1 + 0.08 = 1.08
y = a*(1.08)^x
Case 3
b = 15% decrease
1 - 0.15= 0.85
y = a*(0.85)^x
Case 4
b = 120% increase
1 + 1.2 = 2.2
y = a*(2.2)^x
See attached picture for examples