The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
y = x</span>²<span>-2x-35
step 1
convert the equation in the vertex form
y+35=x</span>²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form
the vertex is the point (1,-36)
the answer Part a) is
the vertex is the point (1,-36)
Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5
the x-intercepts are the points
(7,0) and (-5,0)
the answer part b) is
the x-intercepts are the points (7,0) and (-5,0)
the total answer is the option
<span>A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)</span>
Answer:
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Step-by-step explanation:
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<span>To determine the answer to this you would divide the numerator by the denominator in an equation. The answer to that equation is 0.125. When converting a decimal to a percentage, you shift the decimal point over two places. Thus the percentage is 12.5% and it is unnecessary to round the result to the nearest hundredth of a percent. The answer is 12.5%.</span>
Answer
Find out the volume of a cylinder .
To prove
Formula

Where r is the radius and h is the height.
As given
Diameter of 12 in. and a height of 7 in.


Radius = 6 in

put all the values in the formula

= 791.28 in³
Therefore the volume of the cylinder is 791 .28 in³ .
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