24 can go 3 times into 84
Answer:
3x² + 9x + 6
Explanation:
(3x + 3)(x + 2)
= (3x + 3)(x + 2)
= (3x)(x) + (3x)(2) + (3)(x) + (3)(2)
= 3x² + 6x + 3x + 6
= 3x² + 9x + 6
9514 1404 393
Answer:
x = 12
y = 4√10
z = 12√10
Step-by-step explanation:
The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.
x = √(4×36) = 12
y = √(4×(4+36)) = 4√10
z = √(36×(36+4)) = 12√10
Let
e = Gibson Explorer’s = 20
v = Gibson Flying V’s
So, our problem is
<u>Maximize</u>Money = 80e + 5v<span>
<u>Subject to</u>0 </span>≤ <span>e ≤ 20
</span>0 ≤ v ≤ 20
0 ≤ e + v ≤ 30
In order to solve this problem, we look at the graph (attached), and find the value of Money =80e + 5v at corner points to find the maximum value of money.
(e,v)=(0,0) >> Money = 80e+5v = 80*0+5*0 = 0
(e,v)=(0,20) >> Money = 80e+5v = 80*0+5*20 = 100
(e,v)=(20,0) >> Money = 80e+5v = 80*20+5*0 = 1600
(e,v)=(20,10) >> Money = 80e+5v = 80*20+5*10 = 1650 (maximum)
(e,v)=(10,20) >> Money = 80e+5v = 80*10+5*20 = 900
So Bob can make the
<u>most money = $1,650</u> when he makes and sell
e = <span>Gibson Explorer’s = 20
</span>v = Gibson Flying V’s = 10
Answer:
True
Step-by-step explanation:
To find true or false
Using the properties of logarithms, the left side of the given equation .logb b^2r=2r
, is equivalent to logb b^2r = 2x logb b
(use Power Rule)
=2x(1)
=2x
Hence, the given statement is a true statement.