Answer:
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is an equation for the height of the box in terms of volume and <u>length</u>?
we have
Solve for h
That means----> Isolate the variable h
Divide both sides by 2L
square root both sides
Answer and Step-by-step explanation:
The median is the middle of the data set.
Start by crossing off the x's from both sides until you get to the middle.
We get as the median.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
<h3>
Answer: 14x - 8</h3>
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Explanation:
I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.
The equation is of the form ax^2+bx+c = 0
This leads to...
Now use those roots to form these steps
Refer to the zero product property for more info.
Therefore, the original expression factors fully to (4x-5)(3x+1)
Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.
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We did that factoring so we could find the side lengths of the rectangle.
I'm using the fact that area = length*width
- L = length = 4x-5
- W = width = 3x+1
The order of length and width doesn't matter.
From here, we can then compute the perimeter of the rectangle
P = 2(L+W)
P = 2(4x-5+3x+1)
P = 2(7x-4)
P = 14x - 8
Answer:
D, B, C, A
Step-by-step explanation:
Solve the equations by combining like terms, isolating the variable, and dividing the equation by the coefficient of the variable.
Doing this, the first equation should be 2, the second equation should be -2, the third equation should be -1, and the last equation should be -6.
Then, we can order them.
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.