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AlekseyPX
3 years ago
14

For a given input value bbb, the function ggg outputs a value aaa to satisfy the following equation. a-7=3(b+2)a−7=3(b+2)a, minu

s, 7, equals, 3, left parenthesis, b, plus, 2, right parenthesis Write a formula for g(b)g(b)g, left parenthesis, b, right parenthesis in terms of bbb.
Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

  g(b) = 3b +13

Step-by-step explanation:

The equation to be satisfied is apparently ...

  a−7=3(b+2)

Add 7 to both sides to get "a" as a function of "b".

  a = 3(b+2) +7

Now, we can simplify and write in the desired functional form:

  g(b) = 3b +6 +7 . . . . eliminate parentheses

  g(b) = 3b +13

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(4x + 17)<br> What is the measure of AC ?<br> Enter your answer in the box.<br> (4x – 3.5)
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Answer: AC=41\°

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".

The following formula is used to calculate the measure of an Inscribed angle:

Inscribed\ angle = \frac{1}{2}\ Intercepted\ Arc

You can identify in the figure that:

Inscribed\ angle=ABC=(4x -3.5)\\\\Intercepted\ Arc=AC=(4x + 17)

Then you can substitute values into the formula and solve for "x":

(4x -3.5)= \frac{1}{2}(4x + 17)\\\\8x-7=4x+17\\\\4x=24\\\\x=6

Then, AC is:

AC=(4(6)+ 17)\\\\AC=24+17\\\\AC=41\°

3 0
3 years ago
16. Find the value of x*<br> 8. 2x-6<br><br> A 10 <br> B 7<br> C -7<br> D -10
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2x - 6 = 8

Add sides 6

2x - 6 + 6 = 8 + 6

2x = 14

Divide sides by 2

\frac{2x}{2}  =  \frac{14}{2}  \\

x = 7

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The correct answer is (( B )) .

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3 years ago
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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
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Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
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3 years ago
A.Pictograph
guajiro [1.7K]

..Answer:

Step-by-step explanation:

...

3 0
3 years ago
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