The common ratio is the fifth term divided by the fourth term: -40/-8 = 5.
The seventh term is :
Answer:
200,000
Step-by-step explanation:
To solve this, you can divide the 2019 total projected employment (210,000) by 1 + the growth rate (.05) to find the 2009 total employment.
210,000 / (1 + .05) = 200,000
I hope this helps!
-TheBusinessMan
Answer: 520
Step-by-step explanation:
Divide 910 by 1.75.
Answer:
The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.
Step-by-step explanation:
Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?
Answer:2
Answer:
(y - 4)² = 12(x - 5)
Step-by-step explanation:
the vertex and focus lie on the principal axis y = 4
The focus is inside the parabola to the right of the vertex
This is therefore a horizontally opening parabola
with equation
(y - k)² = 4p(x - h)
where (h, k) are the coordinates of the vertex and p is the distance from the vertex to the focus/ directrix
here p = 8 - 5 = 3
The directrix is vertical and to the left of the vertex with equation x = 2
From any point (x, y) on the parabola the focus and directrix are equidistant
using the distance formula, then
= | x - 2 |
squaring both sides
(x - 8)² + (y - 4)² = (x - 2)²
(y - 4)² = (x - 2)² - (x - 8)² = x² - 4x + 4 - x² + 16x - 64 = 12x - 60
(y - 4)² = 12(x - 5) ← equation of parabola
