Answer:
10 = b
Step-by-step explanation:
Begin by expanding (x + 5)^2
(x + 5)(x + 5)
First: x*x = x^2
Outside: x * 5 (the last term which is a 5)
Inside: 5+ x
Last: 5*5 = 25
x^2 + 5x + 5x + 25
x^3 + 10x + 25
Answer:
x= 0.083 y = 0.5
Step-by-step explanation:
step 1:
equation 1: 6x -y
equation 2 : 4y = 2
from equation (2) 4y = 2, we calculate value of y to get x
4y = 2 ... divide both sides by 4
<u>4y </u>= <u>2</u>
4 4 y = 1 /2. y = 0.5
Step 2:
input the value of y into the equation 1 to get x.
6x - y = 0
6x - 0.5 = 0
6x- 0.5 + 0.5 = 0 + 0.5 ( Add both sides of the equation by 0.5)
6x = 0.5.... divide both sides of the term by 6
<u>6x </u>= 0.5
6 6
x = 0.083
therefore, y = 0.5 and x = 0.0833
Answer:
The value of the proportionality constant (y to x) is: 3/10
Step-by-step explanation:
We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.
i.e. y = kx
and k = y/x
Given the points
We know that the proportionality constant (y to x) is:
k = y/x
For the point (100, 30)
k = 30/100=3/10
For the point (300, 90)
k = 90/300=3/10
For the point (500, 150)
k = 150/500=3/10
As the value of proportionality constant (y to x) is the same.
i.e. k = 3/10
Thus, the value of the proportionality constant (y to x) is: 3/10
If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.P = $1000, t = 2 years, r = 0.08.<span>A = 1000(1+0.08(2)) = 1000(1.16) = 1160</span>