<span>x cubed +3x squared - 4x= 0
= x^3 + 3x^2 -4x = 0
=x(x^2 +3x -4) = 0
= x (x+4)(x-1) = 0
x = 0
x+ 4 = 0 then x = -4
x - 1 = 0 then x = 1
answer: x = 0, x = -4 and x = 1</span>
You solve for y
4y=-6x+2
y=-6/4x+2
y=-2/3x+2
Slope is -2/3, the number in front of x is the slope.
Answer:
89⁷/₈ in
Step-by-step explanation:
The perimeter of a shape can be found by adding up the side lengths.
So, we have to find 20⁹/₁₆ + 23³/₈ + 21⁵/₁₆ + 24⁵/₈
Common denominator (16): 20⁹/₁₆ + 23⁶/₁₆ + 21⁵/₁₆ + 24¹⁰/₁₆
Add fractions: ⁹/₁₆ + ⁶/₁₆ + ⁵/₁₆ + ¹⁰/₁₆ = ³⁰/₁₆
Simplify: ³⁰/₁₆ = ¹⁵/₈ = 1⁷/₈
Add whole numbers: 1⁷/₈ + 20 + 23 + 21 + 24 = 89⁷/₈ in
Answer:
The correct answer is 12.8 J.
Step-by-step explanation:
To solve this problem, we must remember how to calculate the kinetic energy of an object.
The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object. If we plug in the given values into the formula, we get:
K = 1/2 * m * v^2
K = (1/2) * (0.40) * (8.0)^2
Our first step is to square the velocity. After doing this step, we get the following:
K = (1/2) * (0.40) * (64)
Finally, we can perform the multiplication, to get:
K = 12.8
The unit for kinetic energy is joules, so the correct answer is 12.8 J.
Hope this helps!