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tia_tia [17]
3 years ago
5

If f(x) = 5x(3exponent) - 2 and g(x) = 2x+1 , find (f+g) (x)

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

For this case we must find

(f + g) (x).

By definition we have to:

(f + g) (x) = f (x) + g (x)

We have the following functions:

f (x) = 5x ^ 3-2\\g (x) = 2x + 1

Now, applying the given definition, we have:

(f + g) (x) = 5x ^ 3-2 + 2x + 1\\(f + g) (x) = 5x ^ 3 + 2x-1

Answer:

(f + g) (x) = 5x ^ 3 + 2x-1

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answer these BOTH. PLEASE! if u answer both correctly i'll give u brainliest and extra points please please please.
Reil [10]

<u>Answer:</u>

9. x = 12

10. x = 31

<u>Step-by-step explanation:</u>

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

<u>Check:</u>

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

<u>Check:</u>

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

<em>I hope this helps!!</em>

<em>- Kay :)</em>

<em />

8 0
2 years ago
Read 2 more answers
Calculate the length of ac
svlad2 [7]

Answer:

  12.1 cm

Step-by-step explanation:

Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.

  sin(C)/c = sin(A)/a

  C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°

Then angle B is ...

  B = 180° -A -C = 180° -81° -36.86° = 62.14°

and side b is ...

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835

The length of AC is about 12.1 cm.

_____

<em>Comment on the solution</em>

The problem can also be solved using the law of cosines. The equation is ...

  13.5² = 8.2² +b² -2·8.2·b·cos(81°)

This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.

  b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)

  b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit

3 0
3 years ago
Read 2 more answers
What would my answer be?
Svetllana [295]
Since triangle is isosceles, that means that unknown angles are equal. 180-72=108
108:2=54
So you’re answer would be: 54 degrees.
4 0
3 years ago
Jill had the following scores on quizzes.
Brut [27]
3.08 is the answer because:
1(1)+3(2)+4(3)+4(4)+1(5)=40
40/13 is about 3.08.
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3 years ago
Find the value of a. the diagram is not to scale.
Katarina [22]

Step-by-step explanation:

there is no diagram attached

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3 years ago
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