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:
(a)
Step-by-step explanation:
using the rule of exponents
• 
⇔ 
, hence
= 
= 
→ (a)
4% means <span>4100</span> 'of' means multiply so:
<span>363.99⋅<span>4100</span></span> is <span>363.99⋅4</span> = 1455.96
<span>1455.96100</span> = 14.56 (rounded up)
<span>363.99+14.56=$378.55</span> to the nearest cent.
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.
x+2= x+2.
Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.
Then the expression would look like, (x+2×4x)
We don't know how many hours are the "usual hours", this is what "x" would then represent.
John has then worked (4×2+x) more hours than Gary.
Your answer: (4×2+x)
