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4vir4ik [10]
3 years ago
10

Hi can you please help me with my work

Mathematics
2 answers:
abruzzese [7]3 years ago
8 0

Answer:

2 1/4

Step-by-step explanation:

Marrrta [24]3 years ago
7 0

I think it is 1/8 I'm not sure.

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Given a leading coefficient of 8, polynomial roots of 1 & 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
2 years ago
For which value of x is the row in the table of values incorrect? the function is the quadratic function y=-1/2x^2
liberstina [14]

Answer:

D. x = 5

Step-by-step explanation:

At x = 5

y = -½(5)²

y = -½ × 25 = -25/2 = -12½

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3 years ago
Number 17 (the circled one)
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It would take 15 hours.
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Can someone please help me answer this?
sammy [17]

Answer:

Not clear enough

Step-by-step explanation:

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3 years ago
Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cos
Helga [31]
The answer should be C.
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3 years ago
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