Answer:
10 one-dollar and 4 five-dollar bills.
Step-by-step explanation:
Let x = the number of one-dollar bills and y = number of five-dollar bills.
Then:
x + y = 14
x + 5y = 30 (using the values of the bills)
Subtracting the 2 equations:-
-4y = -16
y = 4
so x + 4 = 14
x = 10.
There are 10 one-dollar bills and 4 five-dollar bills.
<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
Answer:
64
Step-by-step explanation:
alternating angles are equal
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
dy/dx = -1/
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx(
)
=> dy/dx = -
=> dy/dx = -1/