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Vinil7 [7]
3 years ago
11

(|5 - 3x | - 1) - ( 1 - 3x ) = 0

Mathematics
1 answer:
Basile [38]3 years ago
7 0

(| 5 - 3x | - 1) - (1 - 3x) = 0

|5 - 3x| - 1 - 1 + 3x = 0

|5 - 3x| - 2 + 3x = 0

1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0

3 = 0. has no solutions

2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0

-5 + 3x - 2 + 3x = 0

6x = 7

x = 7/6

5 - 3x < 0

-3x < -5

x > 5/3.

has no solutions

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Can anyone help me with this problem ? I would appreciate it a lot !
Scorpion4ik [409]

Answer:

D - 192

Step-by-step explanation:

So the solve this, lets use the formula for area of a triangle:

b*h / 2 = A

b is the base, h is the height.

In this case, our base is 32, and our height is unknown.

To find it we must use pythagreons theorm:

a^2+b^2=C^2

a is half of the base in this case, since tecnically this iscoceles traingle(2 same sides) cut in half is 2 right triangles.

32/2 = 16

b is the unknown, and C is the hypotenuse(longest length) which is 20:

16^2+b^2=20^2

256*b^2=400

b^2=144

b=12

So we know b, whihc is our height, is 12.

Plugging this in:

32*12 / 2 = A

384 / 2 = A

192 = A

So the area of the triangle is 192.

Hope this helps!

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Francisco is a landlord who owns several rental homes. One all-brick home in
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Find the range of each function for the domain {-4, -2, 0, 1.5, 4}. f(x) = 5x^2 + 4
andrew11 [14]
Substitute x with the members of the domain.
f(x) = 5x² + 4

Substitute with the domain of -4
f(x) = 5x² + 4
f(-4) = 5(-4)² + 4
f(-4) = 5(16) + 4
f(-4) = 80 + 4
f(-4) = 84

Substitute with the domain of -2
f(x) = 5x² + 4
f(-2) = 5(-2)² + 4
f(-2) = 5(4) + 4
f(-2) = 20 + 4
f(-2) = 24

Substitute with the domain of 0
f(x) = 5x² + 4
f(0) = 5(0)² + 4
f(0) = 5(0) + 4
f(0) = 0 + 4
f(0) = 4

Substitute with the domain of 1.5
f(x) = 5x² + 4
f(1.5) = 5(1.5)² + 4
f(1.5) = 5(2.25) + 4
f(1.5) = 11.25 + 4
f(1.5) = 15.25

Substitute with the domain of 4
f(x) = 5x² + 4
f(4) = 5(4)² + 4
f(4) = 5(16) + 4
f(4) = 80 + 4
f(4) = 84

The range of the function for those domain is {4, 24, 15.25, 84}
4 0
3 years ago
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