Answer:
-20
Step-by-step explanation:
5
x
−
4
y
=
−
20
Find the x-intercepts.
Tap for more steps...
x-intercept(s):
(
−
4
,
0
)
Find the y-intercepts.
y-intercept(s):
(
0
,
5
)
List the intersections.
x-intercept(s):
(
−
4
,
0
)
y-intercept(s):
(
0
,
5
)
In 1 hour, Antoine travels 1.75 mi by dividing 5.25 by 3. So, after lunch, he hiked 4 hours. 1.75 times 2 is 3.5 mi every hour after lunch. So, 3.5 times 4 is 14 mi. + 5.25 is 19.25 mi., or 19 1/4 miles.
(x-5)(x+2)=0
roots: x=5 and x= -2
see attached photo for steps
His car gets 21 mpg (miles per gallon). With 1 gallon he can drive 21 miles. For example, with 10 gallons, he can drive 21 mpg * 10 gal = 210 miles.
He bought $19.50 worth of gas at $1.40 per gallon.
$19.50 / ($1.40/gal) = 13.93 gal
He already had 5 gal of gas in his tanks, so now he has
5 gal + 13.93 gal = 18.93 gal
With 18.93 gal, he can drive
18.93 gal * 21 mpg = 292.5 miles