Answer: Option a.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option a.
Answer:
You must mix 2.67 gals. of pure alcohol to obtain the desired mixture.
Answer:
The fifth line contains the error.
Step-by-step explanation:
Line 1 is the equation.
Lines 2, 3, and 4 are correct.
The error is in the 5th line.
The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.
If imaginary numbers are allowed, then the last line should read:
4(5x + 7) = 128
First, I'd do distributive property and get:
20x + 28 = 128
Then, subtract 28 from each side.
20x = 100
Next, I'd divide 100 by 20 = 5
x = 5
4 *(5(5) + 7) = 128
5 * 5 = 25
4 * (25 + 7)
4 * 32 = 128
Therefore, the perimeter = 2l + 2w
l = 4
w = 5x + 7
BUT we know that x = 5
w = 5(5) + 7 = 32
2(4) + 2(32)
8 + 64 = 72
Therefore, the perimeter would be 72 inches.
