Answer:
1) 2x-5 2) -10/x^2
Step-by-step explanation:
Use power rule and constant rule for the first one:
1) f(x)=x^2-5x^1+1 (x^n)'=nx^(n-1) and (c)'=0
f'(x)=2x^1-5(1)x^0+0
f'(x)=2x-5(1) x^0=1
f'(x)=2x-5
Use just power rule for last one after a rewrite
2) f(x)=10/x
f(x)=10x^(-1) now use power rule
f'(x)=-10x^(-2) =-10/x^2
A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by
M = − 2.78 (log P) − 1.35,
Given the absolute magnitude of a star that has a period of 62 days is,
M = − 2.78 (log 62) − 1.35
M = -6.3328
Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.
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Step-by-step explanation:
given the diameter of the circle = 16 yd
therefore the circumference of the circle is
π×d = 16π yd
or
= 16×3.14
= 50.24 yd
If there is a dilation with a scale factor of 1/2, all the coordinate should be multiplied by 1/2 instead of 2.
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, translation and dilation.
Dilation is the increase or decrease in the size of a figure.
If there is a dilation with a scale factor of 1/2, all the coordinate should be multiplied by 1/2 instead of 2.
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