Answer:
9* 3 ^ (x-2)
Step-by-step explanation:
g(x) = 3^x
We know a^ (b) * a^(c) = a^ (b+c)
9* 3 ^ (x+2) = 3^2 * 3 ^(x+2) = 3^(2+x+2) = 3^x+4 not equal to 3^x
3*(9^(x+2)) = 3*3^2(x+2) = 3^1 * 3^(2x+4) =3^(2x+4+1) = 3^(2x+5) not equal
9* 3 ^ (x-2) = 3^2 * 3 ^(x-2) = 3^(2+x-2) = 3^x equal to 3^x
3*(9^(x-2)) = 3*3^2(x-2) = 3^1 * 3^(2x-4) =3^(2x-4+1) = 3^(2x-3) not equal
Answer: True, False, False, False, False
<u>Step-by-step explanation:</u>
a) 5x - 7(x - 1)
5x - 7x + 7
-2x + 7 ⇒ a = -2, b = 7 <em>One Solution</em>
b) 3(x - 5) - 7
3x - 15 - 7
3x - 22 ⇒ a = 3, b = -22 <em>One Solution</em>
c) 2 - 7x + 3 + 4x
4x - 7x + 3 + 2
-3x + 5 ⇒ a = -3, b = 5 <em>One Solution</em>
d) -3(x - 3) - 1
-3x + 9 - 1
-3x + 8 ⇒ a = -3, b = 8 <em>One Solution</em>
e) -5x + 2 + 2x + 4
-5x + 2x + 2 + 4
-3x + 6 ⇒ a = -3, b = 6 <em>One Solution</em>
Answer:
5 ft, 6.5 ft, 7 ft
Step-by-step explanation:
area of trapezoid = (base1 + base2)h/2
Let the unknown base = x
area of trapezoid = (8.5 + x)(6)/2
area = 3x + 25.5
We want the area to be between 40 ft^2 and 48 ft^2.
40 < 3x + 25.5 < 48
14.5 < 3x < 22.5
4.8333 < x < 7.5
Answer: 5 ft, 6.5 ft, 7 ft
1&2 . Number one is exactly like 2 but it’s on an angle
