Answer:
<h2>A, B, D, E</h2>
Step-by-step explanation:
2(2x + 1) = (2)(2x) + (2)(1) = 4x + 2 → A
<em>used distributive property</em>
2(2x + 1) = 2(1 + 2x) → B
<em>used commutative property</em>
2(2x + 1) = (2x + 1) + (2x + 1) = 2x + 1 + 2x + 1 → D
<em>used 2a = a + a</em>
2(2x + 1) = 4x + 2 = x + x + x + x + 1 + 1 → E
<em>used 4x = x + x + x + x and 2 = 1 + 1</em>
Translate it up, translate it down, translate it to the right, translate it to the left, stretch it vertically, stretch it horizontally
Answer: (the function is 8^X, not 8X.)
Step-by-step explanation:
X = 1 8^X = 8
X = 2 8^X = 64
X = 3 8^X = 512
X = 4 8^X = 4096
Answer:
The amount of the fee for the truck is $20 and cost per mile is $1.3.
Step-by-step explanation:
If they pay a fee x dollars for the truck and y dollars per mile they drive.
Carrie drives 150 miles and pays $215.
Her fee= $x for the truck + 150 X y =215
x+150y=215...(I)
Similarly, Dave drives 120 miles and pays $176
His fee =$x for the truck + 120 X y = 176
x+120y=176....(ii)
To determine the values of x and y, we solve Equations I and II simultaneously.
x+150y=215...(I)
x+120y=176....(ii)
Using elimination method (Subtracting equation II from I)
30y=39
y=1.3
Substitute y=1.3 into (I) to get x.
x+150y=215...(I)
x+(150X1.3)=215
x+195=215
x=215-195=20
Since x=20, y=1.3, The amount of the fee for the truck is $20 and cost per mile is $1.3.
