Step-by-step explanation:
I'm not sure where a is supposed to be in this equation, but I'm going to assume it's supposed to be written as either 3a x 4b = 54, or 304b = 54a. If it's something else, let me know, but I'll just answer these two for now.
1. 3a x 4b
So we know that b is equal to 9. Therefore, we can rewrite
as
To get rid of a multiplier on one side, divide both sides by the number you want gone. I'll use 4(9), which equals 36.
Then we can divide by 3 to get
0.5 isn't a viable answer, so I'll try the second interpretation.
2. 304b = 54a
This one is a bit easier. All we need to do is divide both sides by 54 to get
304 x 9 = 2736
2736/54 = 50.66...
Again, not a viable answer. Please edit your question to include a and I'll give it another shot!
Answer:
21≤X<28
Or
X≥21+X<28
Step-by-step explanation:
Both equations mean the same thing
9514 1404 393
Answer:
- 7.5 ft
- 32.5 ft, 5 ft
- 10.7 ft
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
__
b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
__
c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
The formula of the Simple Interest is:
I=PRT
P for Principle Amount ($1200)
R for Rate (5%=
= 0.05)
T for Time in years (4 years)
I = 1200 × 0.05 × 4
= $240
Add the interest to the principle amount to check the balance
$1200 + $240 = $1440
