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krok68 [10]
3 years ago
9

Which graph represents the solution please explain

Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

Graph D

Step-by-step explanation:

First, solve the equation

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Collect like terms

-6x + 8x < -5 + 12

2x < 7

Divide both sides by 2

x < 7/2

x < 3½

The graph that shows that x < 3½ is graph D.

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Step-by-step explanation:

cuanto es 3,072 en fraccion ?

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2 years ago
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a​ square, and the side of the triangle is 8 in
Setler [38]

<u>ANSWER:  </u>

The length of a side of the triangle is 17 inches.

<u>SOLUTION: </u>

Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.

And the side of the triangle is 8 inches longer than the side of the square.

Let the length of the side of a triangle be x.

And the length of the side of a square be y.

perimeter of triangle = a + b + c , where a , b, c represents side

perimeter of square = a + a + a +a , where a represents side

Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.  Hence we form a equation as

Then, x + x + x = 15 + y + y + y + y

3x = 15 + 4y ---- (1)

Now, given that, x = 8 + y ---- (2)

Substitute (2) in (1)

3(8 + y) = 15 + 4y

24 + 3y = 15 + 4y

4y – 3y = 24 – 15

y = 9

Now, substitute y value in (2)

x = 8 + 9  = 17

Hence, the length of a side of the triangle is 17 inches.

5 0
3 years ago
A sequence is defined by the recursive function f(n + 1) = 1/3f(n). If f(3) = 9 , what is f(1)
lord [1]

Answer:

f(1) = 81

Step-by-step explanation:

given is f(n + 1) = 1/3f(n)

f(3) = 9

ayou need to find f(0) before you can answer what is f(1).

Just start by applying for...

n=0

f(0+1) = 1/3 * f(0)

f(1) = 1/3 * f(0)

n=1

f(1+1) = 1/3 * 1/3*f(0)

f(2) = 1/9 * f(0)

n=2

f(2+1) = 1/3 * 1/9* f(0)

f(3) = 1/27 * f(0)

But it is given that f(3) = 9 so substitute this in the line above to calculate the value of f(0)....

9 = 1/27 * f(0)

Multiply left and right of the = sing by 27 gives

f(0) = 27 * 9

f(0) = 243

We already know this next line because we started with n=0

f(1) = 1/3 * f(0)

Substitute f(0) = 243 in the line above to finally calculate the value of f(1).

f(1) = 1/3 * 243

f(1) = 81

7 0
3 years ago
I need help with math it easy but im a lil slow so help
Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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3 years ago
56 out of 128 students went on a trip during vacation. What percent of students went on the trip?
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Answer:

45.75%

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