Answer: $66
Step-by-step explanation:
Take off 20%:
75 x .20 = 15
75 - 15 = $60
Add 10%:
60 x .10 = 6
60 + 6 = $66
there are 6 terms in the simplified expression
Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
Answer:
X=-7
Step-by-step explanation:
distribute
-3x-6=15
simplify
-3x-6+6=15+6
-3x=21
3x=-21
x=-7
Answer:
23.3
(or
(let me know if you wanted this one and is you want it explained) lol)
Step-by-step explanation:
To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:
![a^{2} +b^{2} =c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D)
Insert values:
![12^{2} +20^{2} =c^{2}](https://tex.z-dn.net/?f=12%5E%7B2%7D%20%2B20%5E%7B2%7D%20%3Dc%5E%7B2%7D)
Solve for c:
Evaluate exponents
![144+400=c^2](https://tex.z-dn.net/?f=144%2B400%3Dc%5E2)
Simplify addition
![544=c^2](https://tex.z-dn.net/?f=544%3Dc%5E2)
Find the square root of both
The fence needs to be approximately 23.3 m.