Need help with this have no idea how to do it
1 answer:
Answer:
Step-by-step explanation:
x- intercept, vertex (v) and axis of symmetry, parabola form:x²+bx+c
vertex(h,k)
<h2>1- f(x)=(x+3)(x-3) change into parabola form </h2>f(x)=x²-9 a=1,b=0 ,c=-9
h=-b/2a=0
k=f(0)=-9
vertex(0,-9) , x intercept is when f(x)=0
(x-3)(x+3)=0 either x-3=0⇒ x=3 or x+3=0 then x=-3
x=3, x=-3 (-3,0) and (3,0)
the x of symmetry is the h of the vertex=0
<h2>2-g(x)=(x+1)(x-3)</h2>g(x)=x²-2x-3 a=1, b=-2,c=-3
h=-b/2a⇒-(-2)/2(1)⇒h=1
k=f(1)=1²-2(1)-3⇒k=-4
v(1,-4)
x of symmetry=h=1
(x+1)(x-3)=0
x+1=0⇒x=-1 (-1,0)
x-3=0 ⇒x=3 (3,0)
x intercept :-1,3
<h2>3-y=-x(x+6) ⇒y=-x²-6x a=-1,b=-6, c=0</h2>vertex(-3,9)
x intercept:(0,0) and (-6,0)
axis of symmetry =-3
<h2>4-g(x)=2(x-5)(x-1) ⇒ 2x²-12x+10 a=2, b=-12, c=10</h2>vertex(3,-8)
axis of symmetry=3
x intercept : (5,0), (1,0)
<h2>5) -4x(x+1)⇒-4x²-4x a=-4,b=-4</h2>vertex(-1/2,1)
x of symmetry=-1/2
x intercept : (0,0)(-1,0)
<h2>6- f(x)=-2(x-3)² ⇒-2x²+12x-18</h2>vertex(3,0)
x intercept (3,0)
axis of symmetry = 3
<h2 /><h2 />
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Answer: The correct option is (A)
Step-by-step explanation: Given that Raymond has 120 books on his bookshelf that he has not read. He plans on reading 3 books per week until there are only 24 books that he still needs to read.
We are to find the equation that can be used to determine the number of weeks it will take Raymond to have only 24 books left.
Also, we are to find the number of weeks.
The number of weeks it will take Raymond to have only 24 books left is represented by 'w'.
We have
number of books read by Raymond is 1 week = 3.
So, number of books read by Raymond is w weeks = 3w.
Since, there are total 120 books on his bookshelf, so the number of books left to read after w weeks will be
According to the given information, we get
thus, the required equation is and number of weeks is 32.
Option (A) is correct.