Answer:
All Real Numbers
Step-by-step explanation:
Any value of <em>c</em> makes the equation true.
Interval Notation
Answer:
D
Step-by-step explanation:
Linear function means that the y values depend upon the x values and any other numbers that are being added to it.
Answer:
Geometric probability of an object hitting a circular hole is 0.0245.
Step-by-step explanation:
We have given,
A board of size 48 by 24 inch. There is a circular hole in the board having diameter 6 inches.
So,
Area of a board = 48 × 24 = 1152 square inches
And area of circular hole = π×r² {where r = diameter/2 = 6 / 2 = 3 inches}
Area of circular hole = π×3² = 9π = 28.27 square inches
Now, we need to find the geometric probability of an object will hit the circle.
Geometric probability = Area of circular hole / Area of board
Geometric probability = 
Geometric probability = 0.0245
hence geometric probability of an object hitting a circular hole is 0.0245.
= 3x(2x^2 - 4x - 5) - 6(2x^2 - 4x - 5)
= 6x^3 - 12x^2 - 15x - 12x^2 + 24x + 30
= 6x^3 - 24x^2 + 9x + 30 (answer)
Answer:
y = -7/5x
Step-by-step explanation:
First, we need to use the two points to find the slope.
m = y₁ - y₂ / x₁ - x₂
m = -7 - 0 / 5 - 0
m = -7/5
Now we know that the slope is -7/5. Now we'll substitute the information we've gathered into the point-slope form equation to get an equation.
y - y₁ = m(x - x₁)
y - (-7) = -7/5(x - 5)
y + 7 = -7/5x + 7
y = -7/5x
Therefore, the equation of the line is y = -7/5x.