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VladimirAG [237]
3 years ago
14

$119.50 skateboard 20% off

Mathematics
2 answers:
VMariaS [17]3 years ago
6 0
119.5 * 0.2= 23.9

119.5-23.9= 95.6

New price, $95.60
Triss [41]3 years ago
5 0
To find 20% of 119.50 you multiply 119.50 by 20% in decimal form
Then you subtract the discount (d) from the total to get your new price (n)

119.5*.2=d
23.9=d

119.5-d=n
119.5-23.9=95.6

So the new price is <u><em>$95.60</em></u>
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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

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3 years ago
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3 years ago
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Setler [38]

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Step-by-step explanation:

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ludmilkaskok [199]

9514 1404 393

Answer:

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Step-by-step explanation:

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  f(x) = (x +5)(x -2)

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In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...

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