Answer:
B. (3, 0)
Step-by-step explanation:
The x-intercept is the point where the graph of the function meets the x-axis.
At x-intercept, y=0 or f(x)=0
So look through the table and find where f(x)=0.
From the table, f(x)=0 at x=3.
We write this as an ordered pair.
Therefore the x-intercept is (3,0)
The correct choice is B.
The general vertex form of the a quadratic function is y = (x - h)^2 + k.
In this form, the vertex is (h,k) and the axis of symmetry is x = h.
Then, you only need to compare the vertex form of g(x) with the general vertex form of the parabole to conclude the vertex point and the axis of symmetry.
g(x) = 5(x-1)^2 - 5 => h = 1 and k = - 5 => theis vertex = (1, -5), and the axis of symmetry is the straight line x = 1.
<span>Answer: the vertex is (1,-5) and the symmetry axis is x = 1.</span>
Answer:
Measures are SV=9 units., SY=14 units, YW=
, YW=
Step-by-step explanation:
Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.
As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.
Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.
Given ST=18 units.
As VY is perpendicular bisector implies SV=9 units.
Also in triangle VTY

⇒ 
⇒ VY^{2}=115
As vertices of triangle are equidistant from the circumcenter
⇒ SY=YT=UY=14 units
Hence, SY is 14 units
In ΔUWY, 
⇒ 
⇒
⇒ YW=
In ΔYXU, 
⇒ 
⇒
⇒ YW=
Hence, measures are SV=9 units., SY=14 units, YW=
, YW=
Answer:
They encircle the planet
times.
Step-by-step explanation:
Consider the provided information.
We have 2.5 mole of dust particles and the Avogadro's number is 
Thus, the number of dust particles is:

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.
Convert the measurement in meters.
Diameter: 
If we line up the particles the distance they could cover is:

Circumference in meters:

Therefore,

Hence, they encircle the planet
times.
Answer:
220 products need to be sold to break it even.
Step-by-step explanation:
550 + 3.00x = 5.50x
550 = 2.50x
220 = x