Hello!
2(x + 9) = 4(x + 7) + 2
Distribute the 2
2x + 18 = 4(x + 7) + 2
Distribute the 4
2x + 18 = 4x + 28 + 2
Combine like terms
2x + 18 = 4x + 30
Subtract 18 from both sides
2x = 4x + 12
Subtract 4x from both sides
-2x = 12
Divide both sides by -2
x = -6
Where she did something different than me is her mistake
Hope this helps!
Parents will allow you to stream videos on your tablet if you agree to prepay the monthly bill. If the initial charge to set up an account is $50 and the monthly fee is $18, create a table that would represent the cost each month for the first year.
Every Month $68 $18 $18 $18 $18 $18 $18 $18 $18 $18 $18 $18
<span>Total For Year$68 $86 $104 $122 $140 $158 $176 $194 $212 $230 $248 $266 </span>
Answer: I think the answer is B
Step-by-step explanation:
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
