Solution:
Let the volume (in litres) of acids used be:
x1=amount of 25% acid
x2=amount of 40% acid
x3=3*x2=amount of 60% acid
w - width
6w - length
486 in² - area of the rectangle
(w)(6w) = 6w² - area of the rectangle
The equation:
6w² = 486 <em>divide both sides by 6</em>
w² = 81 → w = √81
w = 9 in
l = 6w → l = (6)(9) → l = 54 in
The perimeter: P = 2l + 2w
P = 2(54) + 2(9) = 108 + 18 = 126 in
<h3>Answer: The perimeter is 126in</h3>
Answer:
Step-by-step explanation:
To find inverse of a function, follow the steps below:
1. replace h(x) with y
2. Interchange x and y
3. Solve for the new y
4. Replace y to 
(this is the inverse function)
<u>Step 1:</u> y = -2/3x+6
<u>Step 2:</u> x = -2/3y+6
<u>Step 3:</u>
<u>Step 4:</u>
This is the inverse function.
<span>The correct answer is D) g(x) = -(x + 2)^2. The given formula F(x) = x^2 creates a parabola that is open at the top. To reflect this figure across the x-axis and have it open at the bottom, the y-position of the figure on the coordinate system for every x value, which is F(x) = y = x^2 has to be inverted. This is done by negating y and respectively x^2, so to reflect the figure on the x-axis the formula would now look like this: F(x) = -y = -x^2. To move any parabola two units to the left and thereby have its root be at -2, you would simply subtract -2 from every x-position of the figure in the coordinate system. For an inverted parabola like this one the value to move it on the x-axis has to be added instead and this results in the formula from answer D: g(x) = -(x+2)^2</span>
Answer:
x=4
Step-by-step explanation:
16 = 4x
16/4 = x
4 = x
