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3 years ago

Solve the inequality : x-7 ≤ 3x + 1

Mathematics

2 answers:

Nina [5.8K]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

x-7≤3x+1

+7 +7

x≤3x+8

-3x -3x

-2x≤8

/-2 /-2

x≥-4

The inequality symbol reverses when divided/multiplied by a negative term.

-hope it helps

Ad libitum [116K]3 years ago

5 0

Answer:

x ≥ -4

Step-by-step explanation:

we can solve inequalities in the same way as equations except when multiplying or dividing by a negative; in which case you must reverse the inequality symbol

x - 7 ≤ 3x + 1

we can begin by adding 7 to each side to get:

x ≤ 3x + 8

now subtract 3x from each side to get:

-2x ≤ 8

we have to divide each side by -2 so we must reverse the symbol:

x ≥ -4

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If the areas of two similar decagons are 625 ft^2 and 100 ft^2, what is the ratio of the perimeters of the decagons? tf is a dec

const2013 [10]

$\text{Answer: }\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{5}{2}$

Step-by-step explanation:

Since we have given that

Area of two similar decagons are 625 ft² and 100 ft² ,

As we know the relation of area of similar figures, i.e.

$\frac{\text{ Area of first decagon}}{\text{ area of second decagon}}=\frac{625}{100}=\frac{a^2}{b^2}$

Now, we also know that ,

$\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{a}{b}=\frac{\sqrt{625}}{\sqrt{100}}=\frac{25}{10}=\frac{5}{2}$

Hence,

$\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{5}{2}$

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4 years ago

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belka [17]

Answer:

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Step-by-step explanation:

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4 years ago

Each figure shows a triangle with one of its angle bisectors.

OLga [1]

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

2x = 10

x = 10/2

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8 0

3 years ago

I don’t know if I got the right answer but I hope someone can help

elixir [45]

Answer:

The answer to this is x = - y / 2

Step-by-step explanation:

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4 years ago

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maw [93]

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3 years ago