Answer:
31 nickels and 29 dimes
Step-by-step explanation:
Answer:
get someone else to do it
Step-by-step explanation:
wish you luck
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Answer:
Length =40 ft.
width. = 8 ft.
Step-by-step explanation:
If The length is five times the width , then
width = w
length = 5w
Perimeter of Rectangle = 2( l+b)
2(5w+w)= 96
2( 6w) = 96
12 w= 96
w = 96/12
w= 8ft.
length = 5(8)
= 40 ft
Answer:
126 = n × (n - 5)
Step-by-step explanation:
If Nikki's age is <em>n </em>and she is 5 years older than Jamie, then Jamie is 5 years younger than Nikki's <em>n </em>number of years.
