Answer:
x=2
Step-by-step explanation:
logx (2x)^3 = 6
We can rewrite without the exponent
3 logx (2x) = 6
Divide by 3
3/3 logx (2x) = 6/3
logx (2x) = 2
Raise each side to the base x
x^ logx (2x) =x^ 2
2x = x^2
Subtract 2x from each side
2x-2x = x^2 -2x
0 = x^2 -2x
Factor an x
0 = x(x-2)
Using the zero product property
x =0 x-2 =0
x =0 x=2
We cannot have a base of 0, so x cannot equal 0
x=2
Answer:
18x + 13y = 60
6x + 2y = 6 ---> 6x = -2y +6 ---> 18x = -6y+18
Substitution
(-6y +18)+13y =60
-18 -18
--------------------------
7y = 42 so y=6
Then, 6x + 2(6) =6, which you will get x = -1
(-1, 6)
So the kindergartner could show animals pictures. XD JK
You can make 6 bouquets. Each bouquet will have 10 roses, 14 daisies, and 4 lilies.
The math:
FIND THE GREATEST COMMON FACTOR
60/6=10--->10 ROSES
84/6=14--->14 DAISIES
24/6=4--->4 LILIES
Hope this helped!
A=LW
192=(13+x)((9+x)
192=117+22x+x^2 (subtract 192 from both sides)
x^2+22x-75+0 (factor)
(x+25)(x-3)=0
so x=-25 or 3
Check work
since we are adding x it can only be the positive solution so x=3 so the new dimensions are:
L=13+3=16m
W=9+3=12
check: 16*12=192 so the answer is correct hope this helped
