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Mashutka [201]
3 years ago
9

Solve the absolute value equation graph the solution 2 |3x-5| -8=8

Mathematics
1 answer:
Mila [183]3 years ago
4 0
2 | 3x - 5 | - 8 = 8

=> 2 | 3x - 5 | = 8 + 8

=> 2 | 3x - 5 | = 16

=> | 3x - 5 | = 16 / 2

=> | 3x - 5 | = 8

=> 3x - 5 = 8              or     3x - 5 = - 8

=> 3x = 13                 or     3x = - 3

=> x = 13 / 3              or        x = - 1

=> x = 4 and 1/3        or x = - 1

So, the answer is the second option x = - 1 or x = 4  1/3

The graph of such solutions are just the point in the real line.

For x = 4  1/3, divide the segment from 4 to 5 in three equal parts (add two divisions between 4 and 5) and mark your point in the first division after 4.
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A triangular prism. The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet. The 2 triangular sid
Brrunno [24]

The amount of plywood that he needs to buy will be 21 square feet.

<h3>What is the surface area of the triangular prism?</h3>

Let the prism with a length of L of the rectangular surface.

And the dimension of the triangle is A, B, and C. Then we have

SA = 2(area of triangle) + 3(area of rectangle surface)

A triangular prism.

The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet.

The 2 triangular sides have a base of 2 feet and a height of 1.5 feet.

Then the area of the triangle will be

⇒ 1/2 x 2 x 1.5

⇒ 1.5 square feet

The area of the rectangles will be

⇒ 3 x 2 + 3 x 2.5 + 3 x 1.5

⇒ 18 square feet

Then the surface area of the triangular prism will be

Surface area = 2 x 1.5 + 18

Surface arae = 3 + 18

Surface area = 21 square feet

More about the surface area of the triangular prism link is given below.

brainly.com/question/16765719

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7 0
2 years ago
I have some geometric sequence questions, will give 5 points for every answer and will give Brainliest!
kherson [118]

Answer:

Step-by-step explanation:

1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8

The formula for finding the nth term of a geometric sequence is

Tn = ar^(n - 1)

If t6 = 3,r = 1/8, then

3 = a × 1/8^(6 - 1) = a × (1/8)^5

a = 3/(0.125)^5 = 98304

The first term is 98304.

Second term is 98304 × 1/8 = 12288

Third term is 12288 × 1/8 = 1536

Third term is 1536 × 1/8 = 192

2) t1 = 4

t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12

t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36

t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108

3) let the numbers be t2,t3 and t4

The sequence becomes

1/2, t2,t3, t4,8

The formula for finding the nth term of a geometric sequence is

Tn = ar^(n - 1)

8 = 1/2 × r^(5 - 1)

8 = 1/2 × r^4

16 = r^4

2^4 = r^4

r = 2

t2 = 1/2 × 2 = 1

t3 = 1 × 2 = 2

t4 = 2 × 2 = 4

5 0
3 years ago
(1 point) The parabola given by the equation y=−x2+10x−23 has its vertex at (h,k) for:
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the vertex is (5, 2)

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What of these numbers is a prime number 1,11,21,51
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Answer:

Step-by-step explanation:

5(y+4) = 4(y+5)

5y+20 = 4y + 20

5y = 4y

y=0

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