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 error is the solution.
The solution is all real numbers, or infinite amount of solutions.
Step-by-step explanation:
Step 1: Write equation
-4(2n - 3) = 12 - 8n
Step 2: Solve for <em>n</em>
- <u>Distribute -4:</u> -8n + 12 = 12 - 8n
- <u>Subtract 12 on both sides:</u> -8n = -8n
- <u>Add 8n to both sides:</u> 0 = 0
Here we see that <em>n</em> can equal any number. If you plug in any number <em>n</em>, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.
n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.
Answer:
m [slope] = 0
Step-by-step explanation:
When the slope is 0, x cancels out so the y value will remain the same.
There are several methods to finding slope but the easiest way to do this is by dividing the second y value - first y value by the second x value - first x value.
m = ∆y/∆x = y2-y1/x2-x1
You y2 and x2 are interchangable with y and x, because y1, and x1 are part of the starting coordinate,.
The reason you subtract the second
value from the first is because in a directly proportional relationship, y increases as x increases so the next x values will have a greater y value, this is a measure of steepness.
So the slope is:
-1 - -1 / 3 - -2 = -1 + 1 / 3 + 2 = 0 / 5 = 0.
Answer: 0.720
Step-by-step explanation:
0.720 = 18/25
0.51 = 51/100
0.144 = 18/125
0.023 = 23/1000
