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vichka [17]
3 years ago
11

I need to know what 11, 14, and 15 are I don't remember how to do it

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

When you reflect a function in the <em>x</em>-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa).  See the attached picture.

Question 11:  f(x) = -5x + 2.  The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.

When you reflect a function in the <em>y</em>-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same.  Replace  <em>x</em>  with  -<em>x</em> .

Question 14:  f(x) = |2x - 1| + 3.  Replacing <em>x</em> with -<em>x</em> produces  g(x) = |2(-x) - 1| + 3  which simplifies to  g(x) = |-2x -1| + 3.

Question 15 works the same way as #14.

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Answer:

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X – 7y = –11<br> 5x + 2y = -18
laiz [17]

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11  

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

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Solving

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Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

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Divide each side by '5'.

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Simplifying

x = -3.6 + -0.4y

4 0
3 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

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Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

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<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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