MATHEMATICS HIGH SCHOOL

Given: f(x) = 1/x+5 and g(x) = x-2.What are the restrictions of the domain of f(g(x))?
A. X-5
B. X=-3
C. X = 2
D. There are no restrictions.

Answers

Answer 1
Answer:

Answer:B

Step-by-step explanation:

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Which formula can be used to describe the sequence?-3, 3/5, -3/25, 3/125, -3/625 A. f(x) = -3(1/5)^x-1 B. f(x) = -3(1/5)^x-1 C. f(x) = -1/5(3)^x-1 D. f(x) = -1/5(-3)^x-1
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Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work?

Teach me how to ''write each rational number in a form a/b where a and b are integers

Answers

write the number over its next next factor of 10. Then multiply by 10s to get rid of the decimal (if there is). Then just simplify.

Simplify this step by step
(-5jk)/(35j^2k^2)

Answers

\frac { -5jk }{ 35{ j }^( 2 ){ k }^( 2 ) } \n \n =-\frac { 5 }{ 35 } \cdot \frac { j }{ { j }^( 2 ) } \cdot \frac { k }{ { k }^( 2 ) } \n \n =-\frac { 1 }{ 7 } \cdot \frac { 1 }{ j } \cdot \frac { 1 }{ k } \n \n =-\frac { 1 }{ 7jk }

Remember that:

\frac { j }{ { j }^( 2 ) } =\frac { 1 }{ j } \cdot \frac { j }{ j } =\frac { 1 }{ j } \cdot 1=\frac { 1 }{ j } \n \n \frac { k }{ { k }^( 2 ) } =\frac { 1 }{ k } \cdot \frac { k }{ k } =\frac { 1 }{ k } \cdot 1=\frac { 1 }{ k }
(-5jk)/(35j^2k^2)=-(1)/(7jk)

Which temperature is colder :- 2 degree calcius or -5 degree celcius​

Answers

Answer:

-5 degree celcius

Step-by-step explanation:

-5 < - 2

-5 degree celcius is colder.

Answer:

Celsius

Step-by-step explanation:

Celsius is colder.

Find the volume of the attached figure...Help please!!! I'll give brainliest if you explain your answer!!!

Answers

Answer:

  • 82.5 cubic inches

Step-by-step explanation:

Given pentagonal prism.

The base is a regular pentagon with side of 4 in and the distance from the center to side 2.75 in.

By connecting the center to each vertex we get 5 equal triangles with side of 4 in and height of 2.75 in.

Find the base area:

  • B = 5*1/2*4*2.75 = 27.5

Find the volume:

  • V = Bh
  • V = 27.5*3 = 82.5

The volume is 82.5 cubic inches
First find the area of the pentagon. The equation for this is Area = pa/2, with p being the perimeter and a being the apothem (2.75in). The perimeter is 4*5, since there are five sides and one of them is four inches. This means the perimeter is 20 inches. Back to the equation, 20*2.75 = 55. 55/2 = 27.5in^2.

Next, multiply by the height. This shape’s height is 3 inches. 27.5*3 = 82.5.

The volume is 82.5 in^3

Which choice is equivalent to the expression below?√28+8√7

A.8√35
B.12√7
C.10V7
D.9V35

Answers

√(28)+8\sqrt7=√(4\cdot7)+8\sqrt7=\sqrt4\cdot\sqrt7+8\sqrt7=2\sqrt7+8\sqrt7=10\sqrt7\n\nAnswer:C.
√(28)+8\sqrt7=\n 2\sqrt7+8\sqrt7=\n 10\sqrt7

The graph below plots a function f(x):graph of line segment going through ordered pairs 0,150 and 3, 0

If x represents time, the average rate of change of the function f(x) in the first three seconds is ___.

Answer for Blank 1:

Answers

The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50

Therefore, the average rate of change of the function in the three seconds is -50.

Answer:

-50

Step-by-step explanation:

The rate of change formula = f(b) - f(a) / b - a

f(b) = the end number (so basically 0 becuase the line ends on the point (3, 0))

f(a) = the start number (so basically 150 becuase the line starts on the point (0, 150)

b = the end time (so basically 3 becuase the line ends on the point (3, 0))

a = the start time (so basically 0 becuase the line starts on the point (0, 150)

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sorry if that is confusing... moving on...

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You would apply these numbers = 0 - 150 / 3 - 0 = -150 / 3 = -50

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This is your rate of change

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I hope this helped :)
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