Each ticket is $34 each
32+12+2x=112
44+2x=112
-44 -44
———————-
2x=68
— —
2 2
x=$34
Answer:
18.15
Step-by-step explanation:
21% of 15 is 3.15 so 15 plus 3.15 = 18.15
Answer: 15x² + 2x + 4
x = -2/3, 0, 1/2
Step-by-step explanation:
5x(3x + 2) - 4(2x - 1)
First, distribute:
15x² + 10x - 8x + 4
Combine like terms:
15x² + 2x + 4
This is your polynomial!
If you needed to solve for x, take your original factored polynomial and set each term equal to 0:
5x(3x + 2) - 4(2x - 1)
5x = 0
x = 0
3x + 2 = 0
3x = -2
x = -2/3
-4 = 0
No solution
2x - 1 = 0
2x = 1
x = 1/2
x = -2/3, 0, 1/2
Hope this helps!
Answer:
Chapter 8; 8.3 Is the sentence ∃ x, y x=y valid? Explain. 8.3 The sentence ∃ x,y x = y is valid. A sentence is valid if it is true in every model. An existentially quantified sentence is true in a model if it holds under any extended interpretation in which its variables are assigned to domain elements.
Step-by-step explanation:
First of all, the easy part- 5 gallons -

is

. An ounce is equal to 128 gallons, so we have to convert 6 x 8 ounces (48) to gallons.

or 0.375 gallons.

-

=

or
3.875 gallons left.