Answer:
Simplifying
4x + -7 = -2x + -5
Reorder the terms:
-7 + 4x = -2x + -5
Reorder the terms:
-7 + 4x = -5 + -2x
Solving
-7 + 4x = -5 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-7 + 4x + 2x = -5 + -2x + 2x
Combine like terms: 4x + 2x = 6x
-7 + 6x = -5 + -2x + 2x
Combine like terms: -2x + 2x = 0
-7 + 6x = -5 + 0
-7 + 6x = -5
Add '7' to each side of the equation.
-7 + 7 + 6x = -5 + 7
Combine like terms: -7 + 7 = 0
0 + 6x = -5 + 7
6x = -5 + 7
Combine like terms: -5 + 7 = 2
6x = 2
Divide each side by '6'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Step-by-step explanation:
Kinetic energy possessed by moving train is
.
And mass
.
The formula for kinetic energy is
.
Solve for velocity:
Now put in the data:
Answer:
g(4) = 12
Step-by-step explanation:
We need to find the value the function g(x) when x = 4, that is;
g(4)
In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)
In the second definition, g(x) is given as;
Q(x) = 0.5x + 10
plug in x = 4 and simplify;
Q(4) = 0.5(4) + 10
Q(4) = 12
Answer:
4x−7
Step-by-step explanation:
Being given our polynomial:
+ x - 14,
We must find the roots to get our answer.
x = (- 1 ± √(1 - 4*4*(-14)) / 8
x = (- 1 ± √225) / 8
x = ( -1 ± 15) / 8
x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
x₂ = (- 1 - 15) / 8 = - 16/2 = - 8
The factors we came up with:
(x - x₁)(x - x₂)
(x - 7/4)(x + 8)
1/4(4x - 7)(x + 8)
So,
The correct option is C.
:)
