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ryzh [129]
3 years ago
12

Make w the subject of the formula y-aw=2w-1

Mathematics
2 answers:
Gnoma [55]3 years ago
8 0

w = \frac{1 + y}{a + 2}

collect the term in w together → ( subtract 2w from both sides)

y - aw - 2w = - 1 → ( subtract y from both sides)

- aw - 2w = - 1 - y → ( multiply through by (- 1) )

aw + 2w = 1 + y → ( take out w as a common factor )

w( a + 2)= 1 + y → ( divide both sides by (a + 2 ) )

w = \frac{1 + y}{a + 2}




notsponge [240]3 years ago
5 0

w( a + 2)= 1 + y → ( divide both sides by (a + 2 ) )

w = \frac{1 + y}{a + 2}

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2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
Ira Lisetskai [31]

Solution: The factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1).

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for x=-1, therefore (x+1) is a factor of given function.

Use synthetic method to divide the given polynomial for by (x+1). Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So f(x)=(x+1)(x^3+9x^2+26x+24)

Similarly (x+2) is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by (x+2). it is shown in figure 2.

So

f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)

Hence the factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1). The graph of the given function is given in figure 3.


4 0
3 years ago
What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
Lostsunrise [7]

Answer: 615.4

Step-by-step explanation:

A=\pi r^{2}

if the radius is 14

A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\

8 0
3 years ago
Read 2 more answers
sari ran for class president. each student in her class voted one time. sari won 25% of the student votes. if sari recived 60 vo
Mice21 [21]

The number of students who voted is 240.

<h3>How many students voted?</h3>

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

The number of students who voted = number of votes Sari received / percentage number

60 / 0.25 = 240

To learn more about percentages, please check: brainly.com/question/25764815

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4 0
1 year ago
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Sauron [17]
5x+2y=20 when x=3/10 is:

5(3/10)+2y=20

15/10+2y=20

1.5+2y=20

2y=18.5

y=9.25
8 0
3 years ago
Read 2 more answers
Evaluate the integral (tan3x)dx
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<span>The solution to the problem is as follows:

tan (3x) = sin(3x) / cos(3x) 

let u = cos(3x), du = -3 sin(3x) 

Integrating -1/3 du / u = -1/3 ln (u) = -1/3 ln (abs (cos(3x)) + constant

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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2 years ago
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