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Flura [38]
3 years ago
7

Please help me with this

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0

Answer:  -6, -3, -2, -1, 1, 2, 3, 6

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

NOTES: p is the last term, q is the coefficient of the first term

Determine all of the factors of p and all of the factors of q

Possible rational roots are all of the combinations of p/q for every factor

\dfrac{p}{q}=\pm \dfrac{6}{1}=\pm \dfrac{1\times 6, 2\times 3}{1}=\pm\dfrac{1}{1}, \pm\dfrac{6}{1}, \pm\dfrac{2}{1}, \pm\dfrac{3}{1}\\\\\\\text{In order from smallest to largest:}\ \large\boxed{-6, -3, -2, -1, +1, +2, +3, +6}

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HELP!! Given f(x)=5x squared and g(x) = x squared + 2x squared - 5x, what is F (x) * g(x)?
TEA [102]
X^2+2x^2-5x

((x^2)+2x^2)-5x

Pull the factors out

3x^2-5x=x(3x-5)

x(3x-5)

x(3x-5)*5x^2

5x(3x-5)*x^2


Final

5x^3*(3x-5)



8 0
3 years ago
Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 1.2 when y
baherus [9]
Y = k/x where k is the constant of variation
y = 3 , x = 1.2 gives
3 = k/1.2
therefore 
k = 3*1.2 = 3.6
and the  required equation is 

y = 3.6 / x

6 0
3 years ago
Given a leading coefficient of 8, polynomial roots of 1 &amp; 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
3 years ago
Simplify the expression below. 3c - 2cd - 8c + 7d
jolli1 [7]
<span>3c - 2cd - 8c + 7d
= -5c </span> - 2cd + 7d

hope it helps
3 0
3 years ago
A crew must repave a road that is 3/8 miles long. They can repave 1/48 miles per hour. How long will it take the crew to repave
Anika [276]

Answer:

Step-by-step explanation:

3/8 miles long, 1/48 miles per hour

3/8 and 1/48 can have a common denominator, so you make 3/8 into 18/48 by multiplying both the numerator and denmoinator by 6.

18/48 miles long

1/48 per hour

divide: 18/48 divided by 1/48, which turns into 18/48 x 48/1 which equals 18

18 hours

4 0
3 years ago
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