The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
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The given expression is
-2x² + 17 - 15x + 7xy
The algebraic expression may be written as
-2x² + 7xy - 15x + 17
The constant term does not contain either x or y.
Therefore 17 is the constant term.
Answer: 17
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
The slope-intercept form:
m - slope
b - y-intercept
We have the slope m = 4 → 
and point (1, 6). Substitute:
<em>subtract 4 from both sides</em>
<h3>Answer: y = 4x + 2</h3>
- 2 /15 - ( - 9/10 )
-2/15 + 9/10 multiply fraction #1 by 2 an fraction #2 by 3 to get
-4 /30 +27/ 30 = 23/30
