All of them involve y intercepts
f(x) means y
g(x) means y
y intercept is where the graph crosses the y axis or when x=0 so set x=0
f(x)
x=0 when y=-7.5
y int=-7.5
g(x)
x=0
set x=0
y=3^0-7
y=1-7
y=-6
f(x) yint=-7.5
g(x) yint=-6
A. y int of f(x) is less than yint of g(x)
-7.5<-6
true
B. this is oposite of A so this is wrong
C. this says that g(x) has no yint, false
D. they yints are eqla
-7.5=-6
false
answer is A
72 minutes
We require their hourly rate of work
Maria cleans 
the house in 1 hour
Sasha cleans 
of the house in 1 hour
let x be the time it takes both to clean the house
+ = 
multiply through by 6x
3x + 2x = 6
5x = 6 ⇒ x = 
Together they can clean the house in 72 minutes
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Answer:
3,915 mi
Step-by-step explanation:
