The horizontal line at y=4 doesn't have any slope, so the answer should be relatively easy to find. It's just the slope of Function 2.
y = 8x + 12 is the function for Function 2. 8x is the important part.
So the rate of change differing from both functions is 8.
Answer:
13 , 17 and 25 cm.
Step-by-step explanation:
Let the length of the first side be x cm.
Then the second is x+4 and the third is 2x-1 cm long.
As the perimeter = 55 cm we have the equation:
x + x + 4 + 2x - 1 = 55
4x + 3 = 55
4x = 52
x = 13 cm.
Answer:
1. False
2. True
3. True
Step-by-step explanation:
Remark
The point of this question is to encourage you to make use of your calculator. Every calculator can find square roots as far as I know.
Givens
= 8.367
= 8.49
= 8.77
One
Point A is roughly 8.15. The square root of 70 is over 8.3 So square root 70 is to the right of point A. False.
Two
Square root 72 is 8.49. B is 8.3 and C is 8.6. The statement is True
Three
sqrt(77) = 8.77. Point D is 8.75. The answer is true, but I wouldn't want to bet money on it. The difference is slightly less than 2 100s.
(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28 =
(6561 * 0.03125 * 1)^2 * (0.00925)^4 * 22876792454961 =
42037.81348 * 0.00000000732094 * 22876792454961 =
7040477235.56798349
round answer as needed
Answer:
x = 1
Step-by-step explanation:
3^(4x + 2) = 9^(x + 2)
Make 9 with base 3.
3^(4x + 2) = (3^2)^(x + 2)
3^(4x + 2) = 3^(2x + 4)
Cancel bases.
4x + 2 = 2x + 4
Subtract 2 and 2x on both sides.
4x - 2x = 4 - 2
2x = 2
Divide 2 on both sides.
x = 1
