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2 years ago

Solve the inequality and write in interval notation 2−5|6x−4|<−13

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

5 0

The solution to the inequality is (7/6, ∝) and (-∝, 7/6)

<h3>How to solve the inequality?</h3>

The inequality expression is given as:

2−5|6x−4|<−13

Subtract 2 from both sides

|6x−4|<−15

Divide through by -5

|6x−4| > 3

Remove the inequality sign

6x - 4 > 3 or 6x - 4 < 3

Add 4 to both sides

6x > 7 or 6x < 7

Divide by 6

x > 7/6 or x < 7/6

In interval notation, we have:

(7/6, ∝) and (-∝, 7/6)

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Answer:

It’s 70 bc from cousin to her house is 30. From grandparents to her house is 40. To find the distance from cousins house to grandparents house u add 30 miles and 40 miles. This should give a total distance of 70 miles from cousins to grandparents.

Step-by-step explanation:

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3 years ago

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Verizon [17]

Answer:

I think it might be $123.75

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4 years ago

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4 years ago

Nola purchased two. 5 pounds of cheese for 10. $50 her mother purchased 3 pounds of the same cheese for $12.60 the cost of the c

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Answer: 1 pound of cheese cost $4.2

Step-by-step explanation:

Nola purchased 2.5 pounds of cheese for 10. $50

Her mother purchased 3 pounds of the same cheese for $12.60

If the cost of the cheese varies directly with the number of pounds purchased, it means that the higher the pounds of cheese purchased, the higher the cost

To determine the the cost of 1 pound of cheese, we wound divide the the cheese by the number of pounds bought.

It becomes 10.5/2.5 = 4.2

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3 years ago

Please help me i will give brainlest please i need help

sweet-ann [11.9K]

Answer:

Since you didn't mention which question.

Step-by-step explanation:

13.

$1.\overline{52}\\$ = 1.525252...

Let x = 1.525252...

10x = 15.2525252....

100x = 152.525252...

100x - x = 151.00

99x = 151

$x = \frac{151}{99}\\\\or\\\\x = 1 \frac{52}{99}$

14.

4x + 10 = 8x - 26 [ corresponding angles are congruent ]

4x - 8x = - 26 - 10

- 4x = - 36

$x = \frac{-36}{-4} \\\\x = 9$

15.

Given breadth of a rectangle is ( 2/3) its length.

Let the length be x

Therefore, breadth = ( 2 /3) of x

$= \frac{2}{3} \times x\\\\=\frac{2}{3}x$

Given perimeter = 40m

Perimeter of a rectangle = 2( length + breadth)

$40 = 2 (x + \frac{2}{3}x )\\\\\frac{40}{2} = \frac{2}{2}(x + \frac{2}{3}x)\\\\20 = x + \frac{2}{3}x\\\\20 = \frac{3x + 2x}{3}\\\\20 \times 3 = 5x \\\\x = \frac{60}{5}\\\\x = 12\\\\Therefore, Length = x = 12 \ m \ and \ breadth = \frac{2}{3}x = \frac{2}{3} \times 12 = 8 \ m$

16.

Sum of the angles of a triangle = 180°

Given ratio = 2 : 3 : 4

Sum of the ratio = 9

Therefore,

$first \ angle = \frac{2}{9} \times 180 = 2 \times 20 = 40 ^\circ\\\\Second \ angle = \frac{3}{9} \times 180 = 3 \times 20 = 60^\circ\\\\Third angle = \frac{4}{9} \times 180 = 4 \times 20 = 80^\circ$

17.

Sum of interior angles of a polygon with n sides = ( n - 2) x 180°

Given polygon is pentagon, that is n = 5

Therefore, sum of the interior angles = ( 5 - 2) x 180 = 3 x 180 = 540°

That is ,

x + 125 + 125 + 88 + 60 = 540°

x + 398 = 540°

x = 540 - 398

x = 142°

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3 years ago

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