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3 years ago

Without graphing, classify the following system as independent, dependent, or inconsistent. y=-3x+4 and 6x+2y=8

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Answer:

Dependent

Step-by-step explanation:

$y=-3x+4$ and $6x+2y=8$

Lets solve the second equation for y and then substitute it in first equation

$6x+2y=8$

Subtract 6x on both sides

$2y=-6x+8$

Divide by 2 on both sides

$y=-3x+4$

Now we plug it in first equation for y

$-3x+4=-3x+4$

Add 3x on both sides

$4=4$

Both sides are same, they are equal. the system has infinite solutions.

They are said to be dependent

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7x-9+3x=2x+18-x submit i want an answer please

oksano4ka [1.4K]

Answer:

x = 3

Step-by-step explanation:

7x - 9 + 3x = 2x + 18 - x

10x - 9 = x + 18

10x - x = 18 + 9

9x = 27

x = 3

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3 years ago

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Explain why the mapping diagram below represents a function.

tiny-mole [99]

Answer:

Because there is only one out put for each domain this mapping diagram is a function.

Step-by-step explanation:

Two sets are involved. There is a directional property, the relation is defined from one set called the domain on to another set called the codomain. A function is a relation that has exactly one output for each input in the domain.

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3 years ago

This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)

beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

$\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}$

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

$\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}$

But equation of a hyperbola is given as

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

Substituting the values of a, b, h and k, we have

$\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}$

Hence the answer is

$\frac{x^2}{1}-\frac{y^2}{3}=1$

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1 year ago

How many lines of symmetry does this figure have<br> A 1<br> B, 2<br> C. 3<br> D, 4

defon

Answer:

A.1

Step-by-step explanation:

Trapezoids only have one vertical line of symmetry

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3 years ago

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4. Emily ate dinner at Geisha. Her total was $17.50. A 8% sales tax was

Ahat [919]

Answer: $22.68

Step-by-step explanation:

17.50 times 0.08 = 1.40

17.50 + 1.40 = 18.90

Now the tip:

18.90 times .2 = 3.78

18.90 + 3.78 = 22.68

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3 years ago