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tigry1 [53]
3 years ago
14

What is the slope indicated in the table below? (X) 1 2 3 (y) 5 10 15

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

Step-by-step explanation:

i d k

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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
Solve the equation below for x. -1 2(3x - 4) = 11
Lesechka [4]

Answer:

x= 37/36

Step-by-step explanation:

−12(3x−4)=11

Step 1: Simplify both sides of the equation.

−12(3x−4)=11

(−12)(3x)+(−12)(−4)=11(Distribute)

−36x+48=11

Step 2: Subtract 48 from both sides.

−36x+48−48=11−48

−36x=−37

Step 3: Divide both sides by -36.

−36x

−36

=

−37

−36

x=

37

36

Answer:

x=

37

36

8 0
3 years ago
Read 2 more answers
What are the solutions to the system <br> y=x^2-6x+7<br> y=-x+13
dolphi86 [110]
I've attached the graphs to this answer. I hope they help. 

3 0
3 years ago
Read 2 more answers
which equation is represented by the function table below?          x's are 1,2,3,4              y's are 8,14,20,26     
Reika [66]
F: R -> R, f(x) = ax + b;
f(1) = 8 => a + b = 8;
f(2) = 14 => 2a + b = 14 => a = 6 and b =2;
f(3) = 20 => 6*3 + 2 = 20 True;
f(4) = 26 => 4*6 + 2 = 26 True;

then, f:R -> R, f(x) = 6x + 2;
4 0
3 years ago
Read 2 more answers
Which value of a makes the equation 13=40-3a
weeeeeb [17]
The value of A is 9. This is because 40-13= 27
3x?=27 3x9=27
3 0
3 years ago
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