Answer:
x=-8 or x=2
Step-by-step explanation:
x² + 6x - 6 = 10
x² + 6x - 6 - 10 = 0
x² + 6x - 16 = 0
= (x + 8)(x - 2)
x + 8 = 0
x = -8
x - 2 = 0
x = 2
Answer:
Kinetic energy = 135 kJ
Potential energy = 73.5 kJ
Explanation:
Mass of sky diver = 75 kg
Velocity = 60 m/s
Height = 100 m
Kinetic energy is given by the expression, 
, where m is the mass and v is the velocity.
So Kinetic energy = 
Potential energy is given by the expression, PE =mgh, m is the mass, g is the acceleration due to gravity value and h is the height.
So, Potential energy = 75*9.8*100 = 73500J = 73.5 kJ
Answer:
£365
Step-by-step explanation:
so add another column and call it midpoint. use the weekly earnings column to find the midpoints add both numbers then divide by 2
then times all these numbers by the corresponding frequencies
1 * 200=200
11 * 300=3300
5 * 400=2000
0 * 500=0
3 * 600=1800
then add these numbers =7300 then do 7300/20=365
Answer:
c=5
Step-by-step explanation:
Sorry I did a problem just like this on my paper so im just gonna copy my work
Simplifying
2x + -5 = 2x + -1c
Reorder the terms:
-5 + 2x = 2x + -1c
Reorder the terms:
-5 + 2x = -1c + 2x
Add '-2x' to each side of the equation.
-5 + 2x + -2x = -1c + 2x + -2x
Combine like terms: 2x + -2x = 0
-5 + 0 = -1c + 2x + -2x
-5 = -1c + 2x + -2x
Combine like terms: 2x + -2x = 0
-5 = -1c + 0
-5 = -1c
Solving
-5 = -1c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add 'c' to each side of the equation.
-5 + c = -1c + c
Combine like terms: -1c + c = 0
-5 + c = 0
Add '5' to each side of the equation.
-5 + 5 + c = 0 + 5
Combine like terms: -5 + 5 = 0
0 + c = 0 + 5
c = 0 + 5
Combine like terms: 0 + 5 = 5
c = 5
Simplifying
c = 5
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
