Lets solve the equation first:
<span> 0.5 – |x – 12| = –0.25
</span>= 1/2 - |x - 12| = -1/4
= 2 - 4<span>|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
</span>1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
<span>3.) A good first step for solving the equation is to split it into a positive case and a negative case.
</span><span>5.) The negative case of this equation is x – 12 = –0.75.</span>
Answer:
180 miles
Step-by-step explanation:
Going North
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
r = 60 mph
t = 5.2 hours
d = ?
<em><u>Solution</u></em>
d = 5.2 * 60 = 312 miles north
Going South
<em><u>Givens</u></em>
r = 55 mph
t = 2.4 hours
<em><u>Solution</u></em>
d = r * t
d = 55 * 2.4
d = 132
Distance from home
Formula: Distance from home = Distance North - Distance South
Distance North = 312 - 132 = 180 miles
Answer:
4 inches by 2.5 inches
Step-by-step explanation:
Answer:
a) $525 CAD
b) $168.30 per day
c) $38.05
Step-by-step explanation:
a) <u> 1 USD </u> = <u> 500 </u>
1.05CAD x
cross-multiply: x = $525 CAD
b) 504.90 / 3 = 168.30 per day
c) <u> 1 USD </u> = <u> x </u>
1.05CAD 39.95
cross-multiply: 1.05x = 39.95
x = 39.95 / 1.05
x = $38.05 USD
Answer: B or 52
Step-by-step explanation: I will explain later
