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3 years ago

Select the correct solution set. x + 17 ≤ -3

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

Answer:

{x | x ≤ -20}

Step-by-step explanation:

x + 17 ≤ -3

Subtract 17 from each side

x + 17-17 ≤ -3-17

x ≤ -20

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Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)

Mamont248 [21]

Answer:

11) Here given Function,

$f(x) = \sqrt{2x-11}$

And, $g(x) = -|0.1|x+5$

For f(x) = g(x)

$\sqrt{2x-11}=-|0.1|x+5$

$2x-11=(-|0.1|x+5)^2$

$2x-11=0.01x^2 - 10|0.1|x+25$

$2x=0.01x^2 - 10|0.1|x+25+11$

$2x=0.01x^2 - 10|0.1|x+36$

$0.01x^2 - 10|0.1|x - 2x+36=0$

When we solve this equation,

We found,

x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

$f(x) = -16x^2+74x+9$

And, The height gain by the rocket B in x seconds,

$g(x) = -16x^2+82x$

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ $-16x^2+74x+9= -16x^2+82x$

⇒ $74x + 9 = 82x$

⇒ $82x - 74x = 9$

⇒ $8x = 9$

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)

4 0

3 years ago

Pls answer bb I give extra pp-oints (::

DENIUS [597]

Answer:let me know please

Step-by-step explanation:

4 0

3 years ago

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An experiment requires 500 mL. One of the ingredients to be mixed with 1,000 mL of another. How many liters is the solution

shepuryov [24]

1.5 liters all together!

Hope that helps!
-procklownyt

6 0

3 years ago

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Find three consecutive even integers. Such that 7 times of first integer is 4 more than the sum of second and third integers

attashe74 [19]

Answer:

1st even integer = 2

2nd even integer = 4

3rd even integer = 6

Step-by-step explanation:

Let the consecutive even integers be:

1st = 2(x)

2nd= 2(x +1) = 2x + 2

3rd = 2(x + 2) = 2x + 4

According to Given conditions:

7(2x) = 4 + 2x +2 + 2x + 4

By Simplifying:

14x = 10 + 4x

Subtracting 4x from both sides

14x - 4x = 10 + 4x -4x

10x = 10

Dividing both sides by 10 we get:

x = 1

Now putting value of x in supposed integers:

1st even integer = 2(1) = 2

2nd even integer = 2(1)+2 = 4

3rd even integer = 2(1) + 4 = 6

I hope it will help you!

3 0

3 years ago

Which function has the greater rate of change?

kompoz [17]

Answer: Function 1

Step-by-step explanation:

Function 1 has rate of change of

(15.75 - 14.25)/(1 -(-1)) = 0.75. This was calculated using slope formula.

Function 2 has rate of change of 5/6, which is 0.833.

8 0

3 years ago