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3 years ago

Solving systems of equatins using substitution with both equations in y=mx+b

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Ya good luck I can’t help ya there

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

$k_{3} = \frac{y_{3}}{x_{3}}$

$k_{3} = \frac{52.5}{15}$

$k_{3} = \frac{7}{2}$

Since $k_{1} = k_{2} = k_{3}$ , the constant of proportionality is 3.5.

8 0

3 years ago

Identify what type of polygon this is

DaniilM [7]

1. This is a nonagon. A nonagon is a 9-sided polygon; the figure has 9 sides.

2. This is not a regular polygon. A regular polygon is equiangular and equilateral which means that all of the angles are equal in measure and all of the sides are equal in length. The figure shown does not have equal sides or angles; therefore, it is an irregular polygon.

4 0

3 years ago

Read 2 more answers

A model with 12 squares labeled exact value and 3 squares labeled error. A model with 18 squares labeled exact value and 3 squar

Shtirlitz [24]

Answer:

a,c,e

Step-by-step explanation:

on edge-

6 0

3 years ago

Read 2 more answers

Determine whether each equation has one solution, no solution, or infinite solutions.

Sati [7]

Answer:

a. has one solution

b. infinite solution

Step-by-step explanation:

2(x - 1) + 6 = 4x - 22

2x - 2 + 6 = 4x - 22

2x - 4x = 2 - 6 - 22

-2x = -26

x = 26/2

x = 13

6(2x + 1) – 2 = 12x + 4

12x + 6 - 2 = 12x + 4

12x - 12x = 4 + 2 - 6

0 = 0

6 0

4 years ago

6x — 4 > 14or3х + 10 < 4

Ipatiy [6.2K]

9514 1404 393

Answer:

x < -2 or 3 < x

Step-by-step explanation:

6x > 18 . . . . add 4

x > 3 . . . . . . divide by 6

3x < -6 . . . . subtract 10

x < -2 . . . . . divide by 3

The solution is the union of disjoint sets:

x < -2 or x > 3

3 0

3 years ago