I think it is:) sorry if it is not
Answer:
the y intercept is -50
Step-by-step explanation:
in y=mx+b, m is the slope and b is the y intercept. We are given the point (900,1150) and a slope of 4/3
we can susbstitute 4/3 into the equation.
y=4/3x+b
since the line will go through the point (900,1150), we can plug it into the equation.
1150=4/3(900)+b
1150=1200+b
-50=b
we are left with the y intercept (b) being -50. As a point, it's (0,-50)
Hope this helps!
Full Question:
The 4th term of a g.p. is 40 and the 10th term in the sequence is 2560, what is the 11th term in the sequence ?
Answer:
the 11 the term is 5120
Step-by-step explanation:
Given
Geometry Progression
4th term = 40
10th term = 2560
Required
11 term.
The nth term of a geometric sequence is calculated as follows
Tₙ = arⁿ⁻¹
For the 4th term, n = 4 and Tₙ = 40
Substitute these in the given formula; this gives
40 = ar⁴⁻¹
40 = ar³. --;; equation 1
For the 10th term, n = 10 and Tₙ = 2560
Substitute these in the given formula; this gives
2560 = ar¹⁰⁻¹
2560 = ar⁹. --;; equation 2
Divide equation 2 by 1. This gives
2560/40 = ar⁹/ar³
64 = r⁹/r³
From laws of indices
64 = r⁹⁻³
64 = r⁶
Find 6th root of both sides
(64)^1/6 = r
r = (2⁶)^1/6
r = 2
Substitute r = 2 in equation 1
40 = ar³. Becomes
40 = a * 2³
40 = a * 8
40 = 8a
Divide both sides by 8
40/8 = 8a/8
5 = a
a = 5.
Now, the 11 term can be solved using Tₙ = arⁿ⁻¹ where n = 11
So,
Tₙ = arⁿ⁻¹ becomes
Tₙ = 5 * 2¹¹⁻¹
Tₙ = 5 * 2¹¹⁻¹
Tₙ = 5 * 2¹⁰
Tₙ = 5 * 1024
Tₙ = 5120.
Henxe, the 11 the term is 5120
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
If y is inversely proportional to x, then
It is given that u varies directly with the square of p and inversely with d. So,
It can be written as:
Where, k is the constant of proportionality.
Therefore, the required equation is 
.
