Answer:
-38 - 12x < 200
Step-by-step explanation:
Given,
The original elevation = -38 feet,
Also, the explorer starts moving at a rate of negative 12 feet per minute.
So, the distance covered by explorer after x minutes = -12x feet,
Thus, the final elevation = original elevation + distance covered by explorer
= -38 - 12x
According to the question,
final elevation < -200 feet
⇒ -38 - 12x < 200
Which is the required inequality.
Answer:
187 ft/s
Step-by-step explanation:
Given in the y direction:
v₀ = 0 ft/s
Δy = 75 ft
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.165 s
Given in the x direction:
Δx = 480 ft
a = 0 ft/s²
t = 2.165 s
Find: v₀
Δx = v₀ t + ½ at²
(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²
v₀ = 187 ft/s
Answer:
The solved expression is and
Therefore
Step-by-step explanation:
Given quadratic equation is
To solve the given equation by using completing the square :
Rewritting the above equation as below :
( it is of the form of heere a=x and b=3 )
Taking square root on both sides we get
Therefore and
Answer:
$12.
Step-by-step explanation:
1) if price of one doll is 'x', of one dress is 'y', then the condition 'buys one doll and one dress, it will cost her $21.00' can be written as x+y=21;
2) the condition 'buys two dolls and three dresses, it will cost her $51.00' can be written as 2x+3y=51;
3) it is possible to make up the system:
4) the price of one doll is 12$.