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ahrayia [7]
2 years ago
13

Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.

Mathematics
1 answer:
Leona [35]2 years ago
7 0

\\ \sf\longmapsto xy=7

  • Take x to right and divide

\\ \sf\longmapsto y=\dfrac{7}{x}

Hence

.\\ \sf\longmapsto y\propto \dfrac{1}{x}

Inverse variation

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I already know the answer to this but
irina [24]

Answer:

yes

Step-by-step explanation:

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2 years ago
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Elanso [62]

The series of operations for each case are listed below:

  1. GCF / GCF / GCF
  2. GCF / Grouping
  3. Quadratic trinomial
  4. GCF / Quadratic trinomial
  5. Difference of squares
  6. Difference of cubes / Quadratic trinomial
  7. Sum of cubes
  8. GCF / Quadratic trinomial
  9. GCF / Difference of squares

<h3>How to applying factor properties to simplify algebraic expressions</h3>

In algebra, factor properties are commonly used to solve certain forms of polynomials in a quick and efficient way and whose effectiveness is sustained on all definitions and theorems known in real algebra. In this problem, we should explain and show what factor properties are used in each case:

Case 1

5 · x · y³ + 10 · x² · y                                             Given

5 · (x · y³ + 2 · x² · y)                                            GCF

5 · x · (y³ + 2 · x · y)                                              GCF

5 · x · y · (y² + 2 · x)                                              GCF

Case 2

6 · z · x + 9 · x + 14 · z + 21                                   Given

3 · x · (z + 3) + 7 · (z + 3)                                       GCF

(3 · x + 7) · (z + 3)                                                  Grouping

Case 3

a² + 2 · a - 63                                                       Given

(a + 9) · (a - 7)                                                       Quadratic trinomial

Case 4

6 · z² + 5 · z - 4                                                     Given

6 · [z² + (5 / 6) · z - 2 / 3]                                      GCF

6 · (z - 1 / 2) · (z + 4 / 3)                                         Quadratic trinomial

Case 5

81 · m² - 25                                                           Given

(9 · m + 5) · (9 · m - 5)                                           Difference of squares

Case 6

8 · x³ - 27                                                               Given

(2 · x - 3) · (4 · x² + 6 · x + 9)                                  Difference of cubes

4 · (2 · x - 3) · [x² + (3 / 2) · x + 9 / 4]                      Quadratic trinomial

Case 7

27 · b³ + 64 · z³                                                      Given

(3 · b + 4 · z) · (9 · b² - 12 · b · z + 16 · z²)               Sum of cubes

Case 8

2 · w³ - 28 · w² + 80 · w                                         Given

2 · w · (w² - 14 · w + 40)                                          GCF

2 · w · (w - 4) · (w - 10)                                             Quadratic trinomial

Case 9

200 · a⁴ - 18 · b⁶                                                     Given

2 · (100 · a⁴ - 9 · b⁶)                                                GCF

2 · (10 · a² + 3 · b³) · (10 · a² - 3 · b³)                       Difference of squares

To learn more on polynomials: brainly.com/question/17822016

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7 0
1 year ago
Jane buys candy that cost $8 per pound. She will spend more than $48 on candy. What are the possible numbers of pounds she will
Blizzard [7]

Answer:6

Step-by-step explanation:

3 0
2 years ago
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Estimate the area of a circle with a radius of 21 meters. Use 22/7 for pi. (1 point)
V125BC [204]
A=\pir^{2}

A=(\frac{22}{7})(21^{2})

A=(\frac{22}{7})(441)

A=\frac{22}{7})(\frac{441}{1})

A=\frac{9702}{7}

A=1386 square meters

The answer is B.
5 0
3 years ago
Simplify x^2+3x-10/x^2-25
Natasha_Volkova [10]

Answer:

3x -10 / -25

Step-by-step explanation:

cancel off the x²

6 0
3 years ago
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