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EastWind [94]
2 years ago
10

Find an algebraic expression that represents the area of the shaded region.

Mathematics
1 answer:
katrin [286]2 years ago
7 0

Answer:

2x^2+7x-16

Step-by-step explanation:

x(3x-1)-(x-4)^2

Use distributive: x(3x-1)=3x^2-x

Use square of a binomial formula : (a-b)^2=a^2-2ab+b^2

(x-4)^2=x^2-8x+16

3x^2-x-(x^2-8x+16)=3x^2-x-x^2+8x-16=2x^2+7x-16

The answer is 2x^2+7x-16

Hope this helps :)

Have a nice day!

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The mean of 15 numbers is y.If each of the number is increased by 30, find the increase of the new mean in terms of y.The answer
dusya [7]

Answer:

y+30

Step-by-step explanation:

the sum of the numbers is 15y

the new sum after increase each number by 30 is 15y+450

the new mean 15y+450/15

= y+30

4 0
3 years ago
Seven apple women possessed respectively 20,40,60,80,100,120,and 140 apples, went to market and sold all their apples at the sam
ra1l [238]

Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.

Step-by-step explanation:

given data:

20,

40,

60,

80,

100,

120,

140.

solution.

first woman 20 apples

= 2 + 3 * 6¢.

= 20¢.

second woman 40 apples

= 5 + 5 * 3¢.

= 20¢.

third woman 60 apples

= 8 + 4 * 3¢.

= 20¢.

fourth woman 80 apples

= 11 + 3 * 3¢.

= 20¢.

fifth woman 100 apples

= 14 + 2 * 3¢.

= 20¢.

sixth woman 120 apples

= 17 + 1 * 3¢.

= 20¢.

seventh woman 140 apples

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= 20¢.

3 0
3 years ago
Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx
Alisiya [41]
\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
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\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}

\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}

3 0
3 years ago
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vaieri [72.5K]
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7 0
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Wewaii [24]

Answer:

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Step-by-step explanation:

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