The form f(x) = a(bx) equals a. The initial value of the function f(x) = a(bx) is always a. This is due to the fact that an is not reliant on x. As a result, if x changes, bx will change as well, but a will not.
Answer:
37 dimes and 10 nickels
Step-by-step explanation:
let d = # dimes
let n = # nickels
we can set up a system of equations:
n + d = 47
.05n + .10d = 4.2
if we solve the first equation for 'n' we get:
n = 47-d
now we can substitute this in for 'n' in the second equation:
.05(47-d) + .10d = 4.2
2.35 - .05d + .10d = 4.2
2.35 + .05d = 4.2
subtract 2.35 from each side to get:
.05d = 1.85
d = 1.85÷.05
d = 37
if d+n = 47 and d=37 then n = 10
Check:
.05(10) + .1(37) should equal 4.2
.50 + 3.7 = 4.2 [It Checks Out]
C - (x-3)^2=36
If we expand (x-3)^2=36:
(x-3)(x-3)=36
x^2-3x-3x+9=36
x^2-6x+9=36
Then subtract 36
x^2-6x-27=0
Answer:
x = ± 
i
Step-by-step explanation:
subtract 64 from both sides
9x² = - 64 ( divide both sides by 9 )
x² = - 
( take the square root of both sides )
x = ± 
= ± i
Answer:
see attachment
Step-by-step explanation:
The given equation is
The graph of the left hand side of this equation is
This quadratic graph has its vertex at (0,2) and turns upside down.
The right hand side of the equation is
This quadratic graph opens upwards and has its vertex at (0,-8).
The two graphs intersects at two points , which are (-2,0) and (2,0).
