Were you not given a diagram?
Answer:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
x = -4 , x = 2 when y = 0
Step-by-step explanation:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
Means
3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6 ÷ 3 = 2
x + 4 = 0 ⇒ x = -4
The Parabola which represents the quadratic equation intersects x-axis at
points (2 , 0) and (-4 , 0)
Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.
Substitute this into the second equation:
Multiply both sides by 7
Divide both sides by 47
This means...
Divide both sides by 7
One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.
12 chairs cost 5400.
Answer:
10x=10y so x and y are the same or x=y
Step-by-step explanation:
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.
We get the volume of the cuboid by multiplying the base by the width by the length:
Volume of cuboid = 6 x 6 x 4
= 144m³
Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.
Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
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Answer:
Now that we know the two volumes, we simply add them together:
144 + 96 = 240m³
So the volume of the composite sold is 240m³
