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2 years ago

What is the solution of |2x+3|< 19

Mathematics

1 answer:

Alex2 years ago

6 0

Answer:

- 11 < x < 8

Step-by-step explanation:

inequalities of the type | x | < a have solutions of the form

- a < x < a

then

| 2x + 3 | < 19

- 19 < 2x + 3 < 19 ( subtract 3 from each interval )

- 22 < 2x < 16 ( divide each interval by 2 )

- 11 < x < 8

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Find the slope of a line if the points (2,-1) and (5,3) are on the line

Romashka [77]

Answer:

$\huge{ \boxed{ \sf{ \frac{4}{3} }}}$

Step-by-step explanation:

$\star{ \sf{ \: Let \: the \: points \: be \: A \: and \: B}}$

$\star{ \sf{ \: Let \: a(2,-1) \: be \: (x1 \:, y1) \: and \: b (5,3) \: be \: (x2 \:, y2)}}$

$\underline{ \sf{Finding \: the \: slope \: of \: the \: line}}$

$\boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}$

$\mapsto{ \sf{Slope = \frac{3 - ( - 1)}{5 - 2} }}$

$\mapsto{ \sf{Slope = \frac{3 + 1}{5 - 2}}}$

$\mapsto{ \sf{Slope = \frac{4}{3} }}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

4 0

3 years ago

List multiples of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D" id="TexFormula1" title="\frac{5}{8}" alt="\frac{5}{8}

Mila [183]

Answer:

5/8

10/8 = 1 2/8 = 1 1/4

15/8 = 1 7/8

20/8 = 2 4/8 = 2/1/2

Step-by-step explanation:

DO NOT multiply both the numerator and the denominator by the same value.

6 0

2 years ago

The family members going are 4 mothers, 4 grand-mothers and 4 daughters. What will be the minimum number of tickets required?

iragen [17]

There are 12 tickets needed. Just add all the 4's together.

4 0

3 years ago

180 miles in 3 hours, what's the unit rate?

Oliga [24]

Answer:

60 or 60:1

Step-by-step explanation:

You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.

6 0

3 years ago

Read 2 more answers

The figure below shows a circular fountain in a park with a garden to be planted with flowers. The parks department wants to pla

Dominik [7]

Answer: The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,

Outer diameter = 18 ft

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,

Outer radius = 18/2 = 9 ft

Inner radius = 12/2 = 6 ft

Area of garden = Area of annulus

Area of garden = π*(9 ft)2 - π * (6 ft)2

Area of garden = 142

Given:

2 flowers are planted per square foot.

Therefore for 142 ft2,

Number of flowers required = 2*142 = 284

The answer is 284.

3 0

2 years ago