The aim here is to get all of the x's onto one side and the numbers onto the other side:
We can start by subtracting x from each side
2x+11=1
We can then subtract 11 from both sides
2x=-10
Finally, we can divide both sides by 2 leaving us with:
x = -5
Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
Since y varies directly as x, you know that y=245 and x=7 can be used as a proportion, 245/7. When you multiply this proportion to 9, you get 315. This is the value of y when x=9.
y=315
The slope of the rise over run.
The yards of fabric needed is 45.50 yards.
<h3>How many yards of fabric is needed?</h3>
The first step is to determine the total inches of fabric that would be needed for 63 uniforms. The mathematical operation that would be used to determine this value is multiplication.
Multiplication is the process of determining the product of two or more numbers. The sign used to denote multiplication is ×.
Fabric needed for 63 uniforms = inches needed for one uniform x total number of uniforms
63 x 26 = 1,638 inches
The second step is to convert inches to yards
1 inch = 1/36 yards
1638 / 36 = 45.50 yards
Here is the complete question:
Mrs. Taylor is making new football uniforms for Fridays nights homecoming game. The trim for the sleeves of one uniform requires 26 inches of fabric. Mrs Taylor needs to make 63 uniforms total. How many yards of fabric should she buy?
To learn more about multiplication, please check: brainly.com/question/3385014
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