Our equation for this table could be an equation in slope-intercept form:
y=mx+b
m=slope of the line:
b=y-intercept.
1) we have to calculate the slope of this line.
We need two points, you can choose two points of this table, for example:
the points (4,6) and (10,15)
m=(y-y₀)/(x-x₀)
m=(15-6)/(10-4)
m=9/6
m=3/2
2) we have to find "b";
We have this equation:
y=3/2 x +b
Now, we choose any point of this table; For example (8,12), now we find "b",
y=3/2 x+b
12=3/2 (8)+b
12=12+b
b=12-12
b=0
Therefore: the equation would be y=3/2 x
More easy:
if y vary directly with x, then: y=(y₂-y₁)/(x₂-x₁) x
You choose any two points of this table:
(8,12)
(10,15)
y=(15-12)/(10-8) x
y=3/2 x
Answer: y=3/2 x
Hmm, so they seem to be increaeing by powers of 5
10=2 times 5
25=5 times 5
35=7 times 5
60=12 times 5
so maybe it is
nth term=5(n+2) or 5n+10
lets try it
0th term
5(0)+10
0+10=10
corrrect
3rd term
5(3)+10
15+10
25
correct
so the function is
f(x)=5(x+2)
Answer:
Tetrahedron generally known as triangular pyramid consists of 4 triangular faces, 6 edges and 4 vertices. The base of the tetrahedron is a triangle. All the vertices have the same atom that is bonded to the central metal atom which lies in the centre of the tetrahedron. We take as an example to see how the atoms actually bond in tetrahedron. It is quite visible from the image that 4 O-atoms lies on all the 4 vertices and 1 Si-atom lie in the centre.
Step-by-step explanation:
Answer:
x = -9 x = 1/4
Step-by-step explanation:
(x+9)(4x-1)=0
Using the zero product property
x+9=0 4x-1=0
x= -9 4x =1
x = 1/4
