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Trava [24]
3 years ago
7

Given f(x) = 2x + 5 and g(x) = 3x + 6

Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0

     •   f(x) = 2x + 5

     •   g(x) = 3x + 6


To evaluate  f(g(x)),  replace  x  with  g(x)  in the equation of  f:

     f(g(x)) = 2 · g(x) + 5

     f(g(x)) = 2 · (3x + 6) + 5

     f(g(x)) = 2 · 3x + 2 · 6 + 5

     f(g(x)) = 6x + 12 + 5

     f(g(x)) = 6x + 17


Therefore,

     f(g(8)) = 6 · 8 + 17

     f(g(8)) = 48 + 17

     f(g(8)) = 65   <————    this is the answer.


I hope this helps! =)

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What is the measure of angle 1?
tatiyna

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

  1. AOE + BOD + BOA + DOE = 360
  2. AOE + BOD = 90 + 36 = 126
  3. BOA + DOE = 360 - AOE - BOD = 234
  4. Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
  5. Likewise, OBA = (180 - BOA) / 2
  6. Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
  7. Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
  8. The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
  9. Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
  10. Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
  11. As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
  12. Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

5 0
2 years ago
A line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is:
rewona [7]

A line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is called chord of circle.

Since,

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

So, we can say that every diameter of a circle is always called chord (longest chord) but every chord of the circle is not a diameter because the diameter passes to the circle's center but it not necessay that evey chord will pass through the center of the circle. Some, line segment goes from one side of the circle to the other side and doesn't pass through centre then for this case the line segment is called chord of the circle.

Hence, a line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is called chord of the circle.

Find out more information about chord of circle here:

brainly.com/question/1654080

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7 0
2 years ago
3x - 12y = 24<br><br> Which of the following points represents the x and y intercepts?
umka21 [38]

Answer:

You need to categorize this to the form y=mx+c / y=mx+b

So,

12y=y & 3x=x

(Just let me know if u need further explanation or if this wasn't the ans. u were looking for)

7 0
3 years ago
True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.
djyliett [7]

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

4 0
3 years ago
Is y equals 4x - 3 + x equals negative to the Y equals what number
Maslowich
Y=-4x+3-x because if it's -y=4-3+x y is not alone so you need to make y positive and switch the rest of the operations so it can be y=-4+3-x
6 0
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