We're finding the function of (p+3), which means wherever there's an x, we're replacing it with (p+3).
2 (p+3)^2 + 3 (p+3) + 6
Foil out (p+3)^2.
2 (p^2 + 6p + 9) + 3 (p+3) + 6
Distribute.
2p^2 + 12p + 18 + 3p + 9 + 6
Add like terms.
g (p+3) = 2p^2 + 15p + 33

5 0

3 years ago

A one pound bag of skittles contains 300 pieces of which 28% are red. How many skittles were red?

lesantik [10]

Answer:84

Step-by-step explanation:

3 0

3 years ago

4^4x-5= 8^3x-4 solve

Alexxandr [17]

$4^{4x-5}=8^{3x-4}\\\\(2^2)^{4x-5}=(2^3)^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-5)}=2^{3(3x-4)}\iff2(4x-5)=3(3x-4)\qquad\text{use distributive property}\\\\(2)(4x)+(2)(-5)=(3)(3x)+(3)(-4)\\\\8x-10=9x-12\qquad\text{add 10 to both sides}\\\\8x=9x-2\qquad\text{subtract 9x from both sides}\\\\-x=-2\to \boxed{x=2}$

8 0

3 years ago

A rectangle is 7 meters. The perimeter is 24. What is the width?

lana [24]

P=2(L+W)
if length=7
and P=24
24=2(7+W)
divide both sdes by 2
12=7+W
minus 7both sides
5=W
width=5meters

7 0

2 years ago