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vredina [299]
3 years ago
13

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

6 0
3 years ago
Read 2 more answers
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.

6 0
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

5 0
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

6 0
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

5 0
3 years ago
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