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sweet-ann [11.9K]
3 years ago
14

Help me

Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

Step-by-step explanation:

I used SI system for units

1)meter

2)kilogram

3)kilogram

4)meter

5)Litre

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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
One half of one one hundredth is
ella [17]

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

5 0
3 years ago
Which inequalities have no solution? Check all of the boxes that apply.
RUDIKE [14]

Answer:

Step-by-step explanation:

X>X

-4+X>-2+X

7 0
3 years ago
What is prime factorization
Levart [38]
Prime factorization means express the given number by prime number .
6 0
3 years ago
Alannah, Colin and Hannah visit the park and collect conkers and acorns.
Alekssandra [29.7K]

Answer:

acorns

Step-by-step explanation:

20x=9y

9/20 to 5/9

5/9 of the acorns collected are from Hannah

9/20 of the conkers collected are from Hannah

5/9 is larger than 9/20

Hannah collected more acorns

8 0
2 years ago
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