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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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2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0
zlopas [31]

Answer:

x = 4

Step-by-step explanation:

Let's solve:

2(2−2x)=−3x

Step 1: Simplify both sides of the equation.

2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x

Step 2: Add 3x to both sides.

−4x+4+3x=−3x+3x \\ −x+4=0

Step 3: Subtract 4 from both sides.

−x+4−4=0−4 \\ −x=−4

Step 4: Divide both sides by -1.

\frac{ - x}{ - 1}  =  \frac{ - 4}{ - 1}

Therefore, the answer will be x = 4.

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If all seats were sold for this flight, what would be the total airline income for the seats?
Gekata [30.6K]

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Step-by-step explanation:

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Mashcka [7]

Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

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y = 0.5x - 2 ← is in slope- intercept form

with slope m = 0.5

Parallel lines have equal slopes, thus

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To find c substitute (- 2, 1) into the partial equation

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y = 0.5x + 0 , that is

y = 0.5x ← equation of parallel line

3 0
3 years ago
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