The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).
<h3>How to factor the polynomial?</h3>
From the graph, the zeros of the polynomial of given graph are:
x = -3
x = 1
x = 4
Equate the above equations to zero
x + 3 = 0
x - 1 = 0
x - 4 = 0
Multiply the equations
(x + 3)(x - 1 )(x - 4 ) = 0
Express as a function gives;
y = (x + 3)(x - 1 )(x - 4 )
Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .
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Multiply first, then add. 12 times 7 = 84. Then add 8. 84 + 8 = 92.
Answer: (-6, 5)
<u>Step-by-step explanation:</u>
Use the Midpoint Formula: 
Separate the x's and y's and solve them individually:
So, the k-coordinate is (-6, 5)
Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:
Answer:
13.76
Step-by-step explanation:
Area of the whole
The area of the whole = s^2 (the firgure is a square
s = 8
Area of the whole = 8^2 = 64
Area of the unshaded part
The 2 half circles = 1 whole circle
The radius of the 1/2 circle = 4 (eight has been cut in half)
Area of two half circles = 2* (pi r^2/2)
Area of two half circles = 2 * (pi 4^2/2)
area of two half circles = 16*pi
Area of the shaded area
Area of the shaded area = area of the whole - area of the unshaded area
Area of the shaded area = 64 - 16*pi
Area of the shaded area = 64 - 3.14*16 = 13.76
