Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.
Answer:
y - 2 = 5(x+1)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
y - 2 = 5(x- -1)
y - 2 = 5(x+1)
-4x +4 = -3x + 31
4 - 31 = -3x + 4x
-27 = x
The domain of a function is the set of values of the independent variable for which the function is defined. The square root function is defined for all non-negative real numbers. So, ...
The domain of
y = √x
is all real numbers greater than or equal to zero. (x ≥ 0)
_____
In some cases, there may be other limits on the domain of a function. A function may be defined for all values of mass, for example, but is of no practical use for values of mass greater than the mass of the known universe (or planet Earth, perhaps).