Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
Answer:
22 5/8
Step-by-step explanation:
Answer:
a, d, and e
Step-by-step explanation:
Hope it helps and have a great day! =D
~sunshine~
Answer: 75< x
Step-by-step explanation:
Answer:
A. 3:7
Step-by-step explanation:
The volume of the smaller cube is 216 m³.
The volume of the larger cube is 2744 m³
Let the similarity ratio be 
The volume of these two cubes are in the ratio:
This implies that:
We take the cube root of both sides to obtain:
![\frac{l}{L} =\sqrt[3]{\frac{216}{2744}}](https://tex.z-dn.net/?f=%5Cfrac%7Bl%7D%7BL%7D%20%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B216%7D%7B2744%7D%7D)
This simplifies to:
Therefore the ratio is 3:7
