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Vika [28.1K]
3 years ago
15

Write a quadratic function f(x) for the area of a rectangle length x+5 width 3x-7

Mathematics
1 answer:
Semmy [17]3 years ago
7 0
The area of a rectangle is the product of its length and width.
l=x+5 \\
w=3x-7 \\ \\
A=lw=(x+5)(3x-7)=3x^2-7x+15x-35=3x^2+8x-35 \\ \\
\boxed{f(x)=3x^2+8x-35}
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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
A triangle is enlarged by a factor of 3. The perimeter of the new triangle is 36 feet. What could be the lengths of the sides of
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3 feet 4 feet 5 feet is the answer. 3(3 + 4 + 5)=36
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3 years ago
What is 120/3 x 19-X/6?
vodka [1.7K]

Answer:

-1/6 x + 760 or 760 - x/6

Step-by-step explanation:

Simplify each term.

120/3 (19) - x/6 = 760 + - 1/6 or 760 + x/6

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What is the difference in meaning between |-3| and -3.
77julia77 [94]

Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3

Step-by-step explanation:

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3 years ago
Lucy took three tests. If her median score was 86, her mean score was 87, and the range was 13, what were her three test scores?
sveticcg [70]
      x+82+y
______________  =87
         3
y-x=17
87,98, and 82.
3 0
3 years ago
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