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mezya [45]
3 years ago
15

lance has 3 2/3 yards of ribbon.he is making a puppet.how much ribbon,in yards ,will lance have left? da yards of the puppet is

2 1/2
Mathematics
1 answer:
Sonja [21]3 years ago
5 0
2 1/6 is the answer. Just subtract 3 2/3 minus 2 1/2<span />
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Which of the values shown are potential roots of f(x) = 3x3 â€"" 13x2 â€"" 3x 45? Select all that apply.
Verdich [7]

The potential roots of the function are, \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}

And the accurate root is 3 it can be determined by using rules of the rational root equation.

<h2>Given that,</h2>

Function; \rm f(x) = 3x^3 - 13x^2 -3x + 45

<h3>We have to determine,</h3>

Which of the values shown are potential roots of the given equation?

<h3>According to the question,</h3>

Potential roots of the polynomial are all possible roots of f(x).

\rm f(x) = 3x^3 - 13x^2 -3x + 45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

\rm p=\dfrac{All\  the \ positive}{Negative\  factors \ of\  45}

\rm q=\dfrac{All\  the \ positive}{Negative\  factors \ of\  3}

The factor of the term 45 are,

\pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45

And The factor of 3 are,

\pm1, \ \pm3

All the possible roots are,

\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}

Now check for all the rational roots which are possible for the given function,

\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}.

For more details about Potential roots refer to the link given below.

brainly.com/question/25873992

8 0
2 years ago
Solve each right triangle for ABC. <br> (Will award brainliest)
ladessa [460]

Answer:

6.57343137182

Step-by-step explanation:

The triangle is a right triangle

1. Use Pythagorean theorem

5.5² + 3.6² = c²

2. Solve

√ 43.21

4 0
3 years ago
43) Kristin is carrying nine pages of math homework and four pages of English homework. A gust of wind blows the pages out of he
Aleksandr-060686 [28]

Answer: 10 pages

Step-by-step explanation:

The 1st is 6/10

Then 5/9, 4/8, 3/7, 2/6, 1/5

-----

It's the product:

= 6/10, 5/9, 4/8, 3/7, 2/6, 1/5

= 3/5, 5/9, 1/2, 3/7, 1/3, 1/5

= 1/210

8 0
3 years ago
-8 (2x-8) show work please
amm1812

Answer:

-8*2x would be -16x and -8*-8=64 so the ansewer would be _16x+64

Step-by-step explanation:

4 0
3 years ago
Which equation is the inverse of y = x2 + 16?<br> 0 y=x²-16<br> y=i -16<br> y=+-16<br> y = x2 - 4
denpristay [2]

Answer:

y = ±√(x-16)

Step-by-step explanation:

To find the inverse of an equation, swap the x- and y-variables:

y = x² + 16

x = y² + 16

Then, solve for the y-variable:

x = y² + 16

y² = x - 16

y = ±√(x-16)

8 0
3 years ago
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