Answer:
The correct answer is: p - 8 ∧ restriction p ≠ -4
Step-by-step explanation:
(p² - 4 p - 32) / ( p + 4)
The existence of this rational algebraic expression is possible only if it is:
p + 4 ≠ 0 => Restriction is p ≠ -4
(p² - 4 p - 32) / ( p + 4) = (p² - 8 p + 4 p - 32) / (p + 4) =
= (p (p -8) + 4 (p -8)) / (p + 4)= (p - 8) (p + 4) / ( p +4) = p - 8
God with you!!!
F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Remember, the volume formula of a sphere is
.
Set that equation equal to whatever volume they give you and solve for r.
=
Now solve for r! I know you can do this. If you need help, just comment.
Answer:
For every four cookies, there are two glasses of milk.
OR
For every four scoops of ice cream, there are two plates.
Step-by-step explanation:
Anything works really, just make sure it make sense.
<u>Hope this helps :-)</u>
Step-by-step explanation:
you add 9% to a number by multiplying that number by 1.09.
because adding 9% gives us in the end 109% of the original amount.
anyway, the formula for quarterly compounded interest is
Cq = P [ (1+r)^(4*n) – 1 ]
P is the starting principal amount
r is the interest rate per quarter (= interest rate / 4)
n would be the number of years (= 1 in our case).
so, the interest after 1 year is
12500((1 + 0.09/4)⁴ - 1) = 12500(1.0225⁴ - 1) =
= 12500 × 0.093083319 = $1,163.541485 ≈ $1,163.54
