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Anvisha [2.4K]
4 years ago
5

Find an angle who supplement is three times it’s complement. Can you also give it in an equation form?

Mathematics
1 answer:
Vikentia [17]4 years ago
5 0

Answer:

45°

Step-by-step explanation:

let the angle be x, then

The supplement of x is 180 - x and the complement of x is 90 - x, thus

180 - x = 3(90 - x) ← equation of model, that is

180 - x = 270 - 3x ( add 3x to both sides )

2x + 180 = 270 ( subtract 180 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Thus required angle is 45°

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7 0
3 years ago
On what interval is the functioning decreasing m(x)=4x^3-5x^2-7x?
Verdich [7]
M(x) = 4x^3 - 5x^2 - 7x
Let us first find the zeros of the function.
That is when it is equal to zero.

m(x) = 4x^3 - 5x^2 - 7x  = 0
x(4x^2 - 5x - 7) = 0.  Therefore x = 0 or 4x^2 - 5x - 7 = 0.
Using a quadratic function calculator to solve 4x^2 - 5x - 7
x = 2.09, -0.84
Therefore the zeros are x =-0.84, 0, 2.09 for the function m(x).

The intervals observed are imagining  that the zeros are on the number line:
x<-0.84,    -0.84<x<0,  0<x<2.09,  x>2.09.

For each of this range we would test the function with a number that falls in the range.

The function is decreasing in the interval where it is less than 0.
For x<-0.84, let us test x = -1, m(x) = 4x^3 - 5x^2 - 7x = 4(-1)^3 - 5(-1)^2 - 7(-1) = -4 -5 +7 = -2,    -2 < 0, so it is decreasing here.

For  -0.84<x<0, let us test x = -0.5, m(x) = 4x^3 - 5x^2 - 7x = 4(-0.5)^3 - 5(-0.5)^2 - 7(-0.5) = -0.5 -1.25 +3.5 = 1.75,  1.75 >0. It is not decreasing.


For  0<x<2.09, let us test x = 1, m(x) = 4x^3 - 5x^2 - 7x = 4(1)^3 - 5(1)^2 - 7(1) = 4 -5 -7 = -8,  -8 <0. It is decreasing.

For  x>2.09, let us test x = 3, m(x) = 4x^3 - 5x^2 - 7x = 4(3)^3 - 5(3)^2 - 7(3) = 108 -45 -21 = 42,  42 >0. It is not decreasing.

So the function is decreasing in the intervals:

x < -0.84,  & 0<x<2.09.

4 0
3 years ago
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grin007 [14]

Step-by-step explanation:

First, find complete data.

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Divide the output by the input to get the relationship/constant.

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