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:
480,247
Step-by-step explanation:
0.081 x = 38,900, so x (# sold to date) = 480,247 (rounded)
Answer:
a
Step-by-step explanation:
sec (thita) = squrt (5)
squaring on both sides:
sec^2 (thita) = 5 - equation 1
1 + tan^2 (thita) = 5
tan^2 (thita) = 4
tan (thita) = 2.
= tan (thita) - squrt(5)sin(thita)
= 2 - squrt(5) x 2/ squrt(5)
= 0
from eqn - 1
sec(thita) = squrt(5)
cos(thita) = 1/ squrt(5)
sin(thita) = squrt ( 1- 1/(squrt (5))^2)
sin(thita) = 2/ squrt(5) .
Answer:
The answer should be y = -2x + 5
Step-by-step explanation:
Subtract 4x to move it to the other side.
(2y = -4x + 10)
Then you divide both sides by 2 to get y by itself.
