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Artemon [7]
3 years ago
7

Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f×g and state its domain

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= (4x - 2)(5x - 6) ← expand factors

= 20x² - 24x - 10x + 12 ← collect like terms

= 20x² - 34x + 12

This is a polynomial of degree 2 and is defined for all real values of x

domain : x ∈ R

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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

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<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

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<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

  ladder length ≈ 30.7 ft

3 0
2 years ago
What are the new coordinates of (6, -1) if it is shifted 7 units to the left
sineoko [7]
The answer is -1


Byee.........?..
8 0
3 years ago
Solve for x: 2x + 3 + (-1) = x + 5
faust18 [17]

Answer:

x=3

Step-by-step explanation:

2x-x=5-3+1

x=3

I think that's it

5 0
3 years ago
5(x+2) = 20<br><br> 15 points
hodyreva [135]

Answer:

Step-by-step explanation:

remove the parenthesis

5x+10=20

5x+10-10=20-10

5x=10

x=2

7 0
3 years ago
Plz help me Jen can jump rope 80 times in 60 seconds. If she jumps at a constant ratio of seconds to jumps, how many jumps can s
uysha [10]

Answer:

The answer is 4

Step-by-step explanation:

You just divide 80 by 15.

3 0
2 years ago
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