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Elodia [21]
3 years ago
10

Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin

ts) 4x2 + 5x + 3 the quantity 4 times x to the 2nd power plus 5 times x plus 3 all over x 4x2 + 5x2 + 3x 4x4 + 5x3 + 3x2
Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:   4x² + 5x + 3

<u>Step-by-step explanation:</u>

\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}

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The work in an office takes 150 hours to complete every week. Each person in the office works 32hours a week. What is the smalle
tatiyna

Answer:

5

Step-by-step explanation:

To answer this, we must figure out the minimum amount we can add 32 to itself to reach 150. This means that we must multiply 32 by our desired amount, x, to reach the amount of hours closest to 150 (but above/equal to it). To find x, we can divide 150 by 32, and if it gives us a number with no decimals or remainders, that is x, as it is the smallest amount of people to get above/equal to 150. If it gives us a remainder/decimal, we must round up, as we cannot have a part of a person and we must get the work done, so we must get at least 150 hours. 150/32 is 4.6 something, so we must round up. 5 is our answer

8 0
3 years ago
1)The price of a pair of boot was reduced from $80 to $60. By what percentage
Elan Coil [88]

Answer:

1) 25%

2) $17.54

Step-by-step explanation:

1) The boots were reduced from $80 to $60, therefore the total amount they were reduced by in terms of money is $20. To find out what percentage $20 is of $80, you divide.

20/80 = 0.25

0.25 = 25 % (to change a decimal to a percentage, you multiply by 100)

2) 20% = 0.20 (to change a percentage to a decimal, you divide by 100)

To find 20% of $87.70, multiply 0.20 by 87.70.

87.70 x 0.20 = 17.54

5 0
3 years ago
Binary add<br>i) 10101 + 1001​
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11102

Step-by-step explanation:

8 0
2 years ago
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This is Daniela’s work to solve the equation 13 x + 42 = 276.
Yuliya22 [10]
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2 years ago
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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +
ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

4 0
3 years ago
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