The table shows a relationship between and y-values.which statement describes the pattern created by the values?
» Each y value is determined by
multiplying each x value by 3, so the
pattern is multiplicative
» Each y value is determined by adding
4 to each x value, so the pattern is
additive
» Each y-value is determined by adding
2 to each value, so the pattern is
additive
» Each y value is determined by
multiplying each value by 2, so the
pattern is multiplicative
Done

Answers

Answer 1
Answer:

Answer:

Do you mind giving a picture of the table?

Answer 2
Answer:

Answer:your answer is Each y-value is determined by adding 4 to each x-value by so the pattern is addictive

Step-by-step explanation:


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1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a? 2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)? 3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g? 4. If f(x) is a polynomial, is f(x^2) also a polynomial 5. Consider the polynomial function g(x) = x^4-3x^2+9 a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial

Answers

Answer:

1. a = -31/9

2. -3/4

3. Different degree polynomials

4. Yes, of a degree 2n

5. a. Even-degree variables

b. Odd- degree variables

Step-by-step explanation:

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a?

Plugging in 3 for x:

f(3)= 3^4 - 2*3^3 + a*3^2 + 3 + 3= 81 - 54 + 6 + 9a = 33 + 9a and f(3)= 2

  • 9a+33= 2
  • 9a= -31
  • a = -31/9

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2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

  • f(0)= -4, h(0)= 3, g(0) = ?
  • h(x)= f(x)*g(x)
  • g(x)= h(x)/f(x)
  • g(0) = h(0)/f(0) = 3/-4= -3/4
  • g(0)= -3/4

------------

3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g?

  • A monic polynomial is a single-variable polynomial in which the leading coefficient is equal to 1.

If the sum of monic polynomials f(x) + g(x) is also monic, then f(x) and g(x) are of different degree and their sum only change the one with the lower degree, leaving the higher degree variable unchanged.

------------

4. If f(x) is a polynomial, is f(x^2) also a polynomial?

  • If f(x) is a polynomial of degree n, then f(x^2) is a polynomial of degree 2n

------------

5. Consider the polynomial function g(x) = x^4-3x^2+9

a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial?

  • If f(x) and f(-x) are same polynomials, then they have even-degree variables.

b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial?

  • If f(x) and -f(-x) are the same polynomials, then they have odd-degree variables.

Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z2 = 49. Then find parametric equations for this curve.

Answers

Final answer:

To sketch the curve of intersection, we substitute the equation of the parabolic cylinder into the equation of the ellipsoid. We use the discriminant to determine the nature of the curve and find its parametric equations.

Explanation:

To sketch the curve of intersection of the parabolic cylinder and the top half of the ellipsoid, we can substitute the equation of the parabolic cylinder into the equation of the ellipsoid and then solve for the remaining variable. By doing this, we obtain a quadratic equation.

We can then use the discriminant to determine the nature of the solutions, which will help us identify if the curve is a parabola or an ellipse. Based on the discriminant, we can find the parametric equations for the curve and determine its shape.

For example, if the quadratic equation has two distinct real solutions, then the curve is an ellipse, but if it has one repeated real solution, the curve is a parabola.

Learn more about Curve of Intersection here:

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Describe how the graph of y | x| -4 is like the graph of y= |x| and how it is different.

Answers

The graph y=|x|-4 is obtained from the graph y=|x| dy moving down 4 units the graph y=|x|  along the y-axis (see, if x=0, then for y=|x|, y=0 and for y=|x|-4, y=-4).

These two graphs have the same form.

Answer:

The graph of y=|x|-4 is the same as y=|x|.

Step-by-step explanation:

Line p is parallel to line q. Parallel lines p and q are crossed by lines a and b to form 2 triangles. At parallel line p, angle 4 is formed by line b and angle 5 is formed by line a. Angle 6 is the third angle. At parallel line q, angle 3 is formed by line 3 and angle 2 is formed by line b. Angle 1 is the third angle. Which set of statements about the angles is true? Angle 1 is congruent to angle 6, angle 5 is congruent to angle 4, angle 3 is congruent to angle 2 Angle 2 is congruent to angle 4, angle 3 is congruent to angle 6, angle 1 is congruent to angle 5 Angle 3 is congruent to angle 6, angle 1 is congruent to angle 2, angle 5 is congruent to angle 4 Angle 6 is congruent to angle 1, angle 5 is congruent to angle 3, angle 4 is congruent to angle 2

Answers

Answer:

a

Step-by-step explanation:

Answer:

add all angles

Step-by-step explanation:

Which of the following series is equal to the repeating decimal 0.353535…?ANSWERS
1.C
2. 0.35.
3. 0.01
4. 35/99

Answers

Answer: 2.

Step-by-step explanation: This is because 35 is repeating forever.

The answer is 2 because it is a repeating decimal.

Write a word problem that could be solved with the equation
0.15x + 200 650

Answers

Answer:

13.3

Step-by-step explanation: