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3 years ago

Consider the polynomial function

1 answer:

8 0

Answer:Since the degree is odd, the ends of the function will point in the opposite directions. Odd. Identify the leading coefficient.

Step-by-step explanation:

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3 years ago

Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

Find a quadratic polynomial with integer coefficients which has the following real zeros: $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ .

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

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3 years ago

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salantis [7]

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3 years ago

5p + 8 = 7p + 2 (Finding Common Denominators)

steposvetlana [31]

Simplifying 7p + 2 = 5p + 8 Reorder the terms: 2 + 7p = 5p + 8 Reorder the terms: 2 + 7p = 8 + 5p Solving 2 + 7p = 8 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 7p + -5p = 8 + 5p + -5p

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3 years ago

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write and solve a real- world problem involving the multiplication of a fraction and a whole number whose product is between 10

Tomtit [17]

Answer:

Real word Problem:- Jean is working in a pizza shop. She has 60 kg of flour. She has used one-fifth of it for making pizzas. How much flour she used for making pizzas?

Solution:- Quantity of flour she has= 60 kg

The quantity she used in making pizzas= $\frac{1}{5}\ of\ 60$

$=\frac{1}{5}\times60=12\ kg$

hence, she used 12 kg of flour for making pizzas.

Here the multiplication of a fraction and a whole number $=\frac{1}{5}\times60$ and its answer is between 10 and 15, since 10<12<15.

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3 years ago

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