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Aleonysh [2.5K]
2 years ago
11

Problem situation:

Mathematics
2 answers:
stepladder [879]2 years ago
7 0

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

yulyashka [42]2 years ago
5 0

Answer:

Both:

1

2

Inequality Only:

-4

3/4

2.3

Neither:

2.5

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Thank you in advance
anzhelika [568]

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3 years ago
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms . The ball's height h (in meters) af
Alecsey [184]

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms

Balls height h= 2 +9t -5t^2

To find all values of t for which the ball's height is 3 meters

We plug in 3 for h and solve for t

h= 2 +9t -5t^2

3 = 2 +9t -5t^2

Solve for t

0= -1+ 9t -5t^2

5t^2 - 9t + 1 = 0

Solve using quadratic formula

t= \frac{-b+- \sqrt{b^2-4ac} }{2a}

t= \frac{9+- \sqrt{(-9)^2-4*5*1} }{2*5}

After simplifying this,

t= \frac{9+\sqrt{61}}{10} = 0.11898

t= \frac{9-\sqrt{61}}{10} = 1.68102

the values of t for which the ball's height is 3 meters= 0.12 sec , 1.68 sec

5 0
3 years ago
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Lapatulllka [165]
.

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Yuhnbuybnuyijk’
7 0
2 years ago
Please help me solve these problems
vovangra [49]

Will do first question of each concept only because the rest of the questions are the same concept (the same few repeat but whatever).

1. <em>Total angle = (n - 2) * 180 --> 4 * 180 = 360°</em>

<em>70 + 130 + 120 + θ = 360</em> --> 320 + θ = 360 --> θ = 40

4. Total angle =<em> (10 - 2) * 180</em> --> 8 * 180 = <em>1440</em>

<em>1440/10</em> = 144°

6. Interior: (n - 2) * 180 --> 10 * 180 = 1800

Exterior: 12 * 180 = 2160 --> 2160 - 1800 = 360

9. (n - 2) * 180 --> 3 * 180 = 540

90 + 90 + 150 + 160 + θ = 540 --> 490 + θ = 540 --> θ = 50

13. Interior: (n - 2) * 180 --> 2 * 180 = 360

Exterior: n * 180 - (n - 2) * 180 --> 180n - 180n + 360 --> 360 (always the same)

16. 7r + 4r + 8r + 5r = 360 --> 24r = 360 --> r = 15

5 0
3 years ago
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