Answer:
Step-by-step explanation:
null set
we have the formula

For T=2 seconds
substitute in the given formula
To change it into slope intercept (y=mx+b) you just replace the inequality with an equality and isolate y
x<=2:
x=2=y-> y=2 or y=2+0x
2x-3y>=4:
2x-3y=4
2x-4=3y
(2/3)x-(4/3))=y
y=(2/3)x-(4/3)
x+y>0:
x+y=0
y=-x or y=-x+0
12√18-6√20-3√50-8√45
<em>*Break each radical up into the product of a radical of a perfect square and a second radical*</em>
12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)
<em>*Simplify the radicals*</em>
12(3√2)-6(2√5)-3(5√2)-8(3√5)
<em>*Distribute*</em>
36√2-12√5-15√2-24√5
<em>*Combine like terms</em>*
21√2-36√5
Hope this helps!!
Answer: After 16 seconds the boats will be traveling the same speed.
Step-by-step explanation:
Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.
Mike's spewed after x seconds = 12 + 0.2x
Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.
Hank's speed after x seconds = 26.4 -0.7 x
As per given,
12 + 0.2x = 26.4 -0.7 x
Subtract 12 from both sides
0.2x= 26.4-12-0.7x
⇒ 0.2x= 14.4-0.7x
Add 0.7xn on both sides , we get
0.2x+0.7x= 14.4
⇒ 0.9x = 14.4
Multiply 10 on both sides, we get
9x=144
Divide both sides by 9 , we get x= 16
Hence, after 16 seconds the boats will be traveling the same speed.