Answer:
<h2>4 p.m.</h2>
Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by 
.
The remaining time would be 
, becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
Therefore, the actual time is 4 p.m.
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Velocity=distance/time
v=d/t
So in this case:
v=(3mi/5)/(3hr/8) that's the equation you need to solve.
v=(3m/5)*(8/3hr)
8/5 mph=(3m/5)*(8/3hr)
1 3/5 mph= (3/5)/(3/8)
So the first statement is correct.
1.)18 = 2(4 + x) ||
2.) 18 = 8 + 2x --- Distribute. ||
3.) 10 = 2x --- Isolate the variable by collecting like terms ||
4.) 5 = x
I'd say A. is a good choice.
