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Tju [1.3M]
3 years ago
5

( 2/3 x+2− 1/6 x+4)∙ 1/5 ÷ 1/5

Mathematics
2 answers:
OverLord2011 [107]3 years ago
6 0

2/3=1

X+2=12

12-1÷6=12

12X+4=124

1/5÷1/5=0

UNO [17]3 years ago
5 0
(2/3x + 2 - 1/6x + 4) • 1/5 ÷ 1/5
(1/2x + 6) • 1
1/2x + 6
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The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of
ser-zykov [4K]

Answer:

p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}, for r_{1} = 0

Step-by-step explanation:

The general form of quintic-order polynomial is:

p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f

According to the statement of the problem, the polynomial has the following roots:

p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)

Then, some algebraic handling is done to expand the polynomial:

p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)

p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x

If r_{1} = 0, then:

p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}

5 0
3 years ago
Please Please Please Please Help Please...
nekit [7.7K]

Answer: correct trigonometric ratios

SinB, tanA and cos A.

Step-by-step explanation:

The right triangle has two sides 5 and 12 , by Pythagoras it's hypotenuse is 13.

Tan B=5/12,

Sin A =12/13

5 0
3 years ago
Lesson 2 semester B exam algebra 1B unit 7
Elodia [21]
<h2>Answer:</h2>

720 pounds

<h2>Step-by-step explanation:</h2>

Initially, we have that the amount of algae in the pond is 90pounds. Every four hours the amount of algae doubles. If we called t the time and W the amount of algae, we have that:

At \ t=0 \ hours, \ w=90 \ pounds \\ \\ At \ t=4 \ hours, \ w=2(90)=180 \ pounds \\ \\ At \ t=8 \ hours, \ w=2(180)=360\ pounds \\ \\ At \ t=12 \ hours, \ w=2(360)=720 \ pounds

Finally, <em>after 12 hours the amount of algae in the pond is 720 pounds</em>

4 0
3 years ago
Read 2 more answers
For which equation is x = 7 the solution? <br> 9 x = 63 <br> 5 x = 40 <br> 7 x = 0 <br> 6 x = 36
romanna [79]

Answer:

1. 9x = 63

Step-by-step explanation:

9x = 63

if x=7, then 9(7) = 63

9*7=63

63 = 63

6 0
3 years ago
A group of friends wants to go to the amusement park. They have $94.25 to spend on parking and admission. Parking is $14.75, and
Korvikt [17]

Answer: 6

Step-by-step explanation:

From the question, we are informed that a group of friends wants to go to the amusement park and that they have $94.25 to spend on parking and admission.

We are further told that Parking is $14.75, and tickets cost $13.25 per person, including tax. The equation that can be used to solve the number of people who can go to the amusement park would be:

= 14.75 + 13.25p

Since they've $94.25 to spend, the number of people that can go to the amusement park will be:

14.75 + 13.25p = 94.25

13.25p = 94.25 - 14.75

13.25p = 79.50

p = 79.50 / 13.25

p = 6

6 people can go to the amusement park

3 0
3 years ago
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