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:
The answer is C, Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Step-by-step explanation:
<span>4x-6y=24
2x-3y=12
2x-12=3y
y=2/3*x-4</span>
We are given that Peter buys 12 bunches of bananas for 9.00.
We need to determine how much peter will pay for 8 bunches.
Let us set up proportion now.
12 bunches of bananas for 9.00 = 12 : 9
Let us assume Peter will pay for 8 bunches = $x.
Therefore, 8 bunches of bananas for x = 8 : x.
<h3>Setting up proportion:</h3><h3>
</h3>
On cross-multiplying, we get
12x = 9×8
12x = 72.
Dividing both sides by 12, we get
x=6.
<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>
Answer:
the answer is 8
Step-by-step explanation:
