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Novosadov [1.4K]
3 years ago
12

I don't know how to do systems of eliminations

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
The answer is (x,y)=(-5/6,-4/3)
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Anestetic [448]

compare the divisor x-3 with x-a which will give a=3 and then use remainder theorem.

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-) Simplify: V625<br> 15<br> 20<br> 23<br> 25
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Solve the following inequality for the variable and graph the solution on the number line.
Likurg_2 [28]

The solved inequality is t > 12.

Divide both sides by 9 to isolate the variable.

9t becomes t, and 108 becomes 12.

<u>We do not flip the sign because we are dividing by a </u><u>positive</u><u>.</u>

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3 years ago
IF ANSWERED CORRECTLY WILL GIVE BRAINLIEST BUT IF YOU GIVE ME PDFS OR LINKS I WILL REPORT YOU
Alchen [17]

Answer:

Defending the inference and challenge

Step-by-step explanation:

The inference is correct no one chosen math. Most of them choose english, few of them choose history, and only two choose science.

There are 1000 7th grader, since they did not ask them what was their favorite subject. They could of had 65% for math, 25% for english, 5% for science and history. We do not know.

Hopes this help

4 0
3 years ago
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).
Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

  1. <u>Shifting</u>: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the <em><u>y-coordinate</u></em> is<em> </em>added or subtract and the x-coordinate is unchanged, there is a <em><u>vertical</u></em> <u><em>shift</em></u>. If it is the <em><u>x-coordinate</u></em> which changes and y-coordinate is kept the same, the shift is a <em><u>horizontal</u></em> <u><em>shift</em></u>;
  2. <u>Scaling</u>: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the <em>y-coordinate</em> is multiplied or divided by a constant but x-coordinate is the same, it is a <em>vertical scaling</em>. If the <em>x-coordinate</em> is changed by a constant and y-coordinate is not, it is a <em>horizontal</em> <em>scaling</em>;
  3. <u>Reflecting</u>: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a <u>Vertical</u> <u>Shift</u>.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a <u>Reflection</u>.

<u>Range</u> <u>of</u> <u>a</u> <u>function</u> is all the values y can assume after substituting the x-values.

<u>Domain</u> <u>of</u> <u>a</u> <u>function</u> is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

<u>In conclusion, this transformation (or translation) will affect the range of g(x)</u>

5 0
3 years ago
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