Answer:
Option D. (x + 4)(x + 1)
Step-by-step explanation:
From the question given above, the following data were obtained:
C = (6x + 2) L
D = (3x² + 6x + 9) L
Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:
Volume in C = ½C
Volume in C = ½(6x + 2)
Volume in C = (3x + 1) L
Volume in D = ⅓D
Volume in D = ⅓(3x² + 6x + 9)
Volume in D = (x² + 2x + 3) L
Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:
Volume in C = (3x + 1) L
Volume in D = (x² + 2x + 3) L
Total volume =?
Total volume = Volume in C + Volume in D
Total volume = (3x + 1) + (x² + 2x + 3)
= 3x + 1 + x² + 2x + 3
= x² + 5x + 4
Factorise
x² + 5x + 4
x² + x + 4x + 4
x(x + 1) + 4(x + 1)
(x + 4)(x + 1)
Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle
11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle
9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle
16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle
*the best buy would be to get 16 bottles for $35.68*10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap
16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap
13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap
12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap
*the best buy would be to get 13 bars of soap for $29.51*hope this helps :)
Answer: 879
Step-by-step explanation:
The order of operations calls for Parenthesis, Multiply, Divide, Add, Subtract. From left to right.
So we do the parenthesis first (102 - 4)
-3 + 9 (98)
Next we multiply 9 and 98
-3 + 882
Lastly we add -3 and 882
879
Answer:
First choice A : 2x +3y is <em>less than or equal </em><em>to</em><em> </em>18. x <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>0. y <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>0.
Answer:
It's the 3rd one using the formula 
Once you follow that step you need to multiply the exponent of 3 and 6 with the exponent outside the parenthesis..... which is why it's the 3rd one.
