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abruzzese [7]
3 years ago
15

Choose the correct equation type for each system.

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
Consistent means 1 solution
inconsistent means no solutions....because they are parallel lines
equivalent means infinite solutions...because they are the same line

y = 3x - 2             3x - y = 4
                            -y = -3x + 4
                             y = 3x - 4

both equations have the same slope but different y intercepts....this means they are parallel lines and have no solutions ....INCONSISTENT
=======================
1/2y = -x + 5                  2y = -4x + 20   
y = -2x + 10                     y = -2x + 10

same equation.....same line...infinite solutions...EQUIVALENT
===================
y = -x + 4               x = -y - 6
                              y = -x - 6

same slope, different y intercepts....parallel lines......no solutions...this means INCONSISTENT
==================
y = 4x + 2                y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT
==================
y = 2x + 1               y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT
=================
-2x + 5y = 0              y = 2/5x
5y = 2x
y = 2/5x
same line....infinite solutions....EQUIVALENT




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What is the vertex of this equation?
AfilCa [17]

Answer:

  (5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

  y = -(x^2 -10x +25) -21 +25

  y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

7 0
2 years ago
A test of intelligence is given to a subject. The subject scores 110 on the first administration. Six months later, the same sub
Basile [38]

Answer:

True, the scores are not valid.

Step-by-step explanation:

The test supposed to be measuring intelligence. We can assume that the intelligence of most people relatively stable (will not change too much over a short amount of time), and can expect it should go upward with brain growth and education. But the test seems to give a huge decrease from the first and second results. Then the third result is a huge increase that even higher than the first test.  

We don't know the true value of the subject, but seeing the huge gap for every repetition we can tell that the test result lacks precision.

5 0
3 years ago
Create an equation with one solution of x = −4.
katen-ka-za [31]

Answer:

What is missing is -5x - 20

Step-by-step explanation:

To find this, simply solve for the parenthesis as if it were a variable of its own. This will allow you to see exactly what is missing.

8x - (x - 20) = 2x - (_______)

8x - x + 20 = 2x - (_______)

7x + 20 = 2x - (_______)

5x + 20 = - (_______)

-5x - 20 = (_______)

So the answer for the parenthesis is -5x - 20

3 0
3 years ago
Plz help. Write the slope intercept form of the equation
Fudgin [204]

Answer:

2nd option is correct

Step-by-step explanation:

x +2y=14

2y = -x + 14

y= -x/2 +7

3 0
2 years ago
Read 2 more answers
Can someone please please help me on this algebra problem I’m stuck on answering the question?
Rudik [331]

Explanation:

Midline: it is a horizontal line where half of the function above it and half of the function is below it.

Amplitude: It means how far the function varies from the midline to the above and below.

Period: the distance between two consecutive maximum points (minimum points).

3) From the graph,

\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}

Answer: Midline=1

1) Amplitude

\text{Amplitude =}2

2) Periods

\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}

4) The trigonometric equation is,

\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}

Answer:

y=2\cos (\frac{2\pi}{6}x)+1

4 0
1 year ago
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