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Vadim26 [7]
3 years ago
5

Need help quickly its hard

Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

1-3x+8y

Step-by-step explanation:

Multiply y and 2

Multiply y and 1

The y just gets copied along.

2*y evaluates to 2y

Multiply x and 4

Multiply x and 1

The x just gets copied along.

The answer is x

4*x evaluates to 4x

2*y-4*x evaluates to 2y-4x

The answer is 2y-4x+8

2*y-4*x+8 evaluates to 2y-4x+8

Multiply y and 6

Multiply y and 1

The y just gets copied along.

The answer is y

6*y evaluates to 6y

2y + 6y = 8y

The answer is 8y-4x+8

2*y-4*x+8+6*y evaluates to 8y-4x+8

-4x + x = -3x

The answer is -3x+8y+8

2*y-4*x+8+6*y+x evaluates to -3x+8y+8

8 - 7 = 1

The answer is 1-3x+8y

2*y-4*x+8+6*y+x-7 evaluates to 1-3x+8y

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Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

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

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.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


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One solution!

Step-by-step explanation:

If we make a graph of the given equations, the lines will intersect at a point. We know that whenever lines intersect, it means the equations have one solution or a unique solution.

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Step-by-step explanation:

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