D.) "The graphs of the equations intersect each other at two places."
Hello.
In order to solve this equation, we need to isolate the variable (in this case, the variable is x)
The first step is to use the Distributive Property and distribute 3:
Now, add 3 to both sides:
Now, subtract 2x from both sides:
Therefore, the answer is
I hope it helps.
Have a nice day.
Answer:
Number of nickels = 17
Number of dimes = 23
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
x + y = 40 (1)
0.05x + 0.10y = 3.15 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.05x + 0.10y = 3.15 (2)
0.05(40 - y) + 0.10y = 3.15
2 - 0.05y + 0.10y = 3.15
- 0.05y + 0.10y = 3.15 - 2
0.05y = 1.15
y = 1.15/0.05
y = 23
Substitute y = 23 into (1)
x + y = 40 (1)
x + 23 = 40
x = 40 - 23
x = 17
Number of nickels = 17
Number of dimes = 23
Answer:
hunnid bands on cccccrip
Step-by-step explanation:
Answer:
d = 200 miles
t = 1.5 hrs after start
Step-by-step explanation:
Set the origin at car a starting point.
equation for distance to car b
x = 250 - 60t
equation for distance to car a
y = 80t
distance between car a and car b
d = √((250 - 60t)² + (80t)²)
d = √(62500 - 30000t + 3600t² + 6400t²)
d = √(62500 - 30000t + 10000t²)
d = 100√(6.25 - 3t + t²)
setting the derivative to zero
0 = 100t - 150 / √(t² - 3t - 6.25)
The denominator cannot be zero, so the numerator must
0 = 100t - 150
150 = 100t
t = 1.5 hrs
d = √((250 - 60(1.5))² + (80(1.5))²)
d = √(160² + 120²)
d = 200 miles
