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3 years ago

Help please

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Solution:

Note that:

Given inequality: 3 < x + 3 < 6

Solving the inequality one by one.

3 < x + 3
=> -3 + 3 < x
=> 0 < x
=> x + 3 < 6
=> x < 6 - 3
=> x < 3

The inequality is 0 < x < 3.

You might be interested in

GCF And LCM of 24, 36, 45

faltersainse [42]

Answer:

Step-by-step explanation:

First lets prime factorize each number

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

45 = 3 x 3 x 5

GCF = 3 (3 is the only common prime number factor in the 3 numbers)

LCM = 2 x 2 x 2 x 3 x 3 x 5

= 24 x 3 x 5

= 72 x 5

= 360

Happy to help :)

4 0

3 years ago

If a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can

sasho [114]

Answer:

c. 6.5 seconds.

Step-by-step explanation:

We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula $h = -3t^2+147$ , where h is the height of the plane at t seconds.

To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute $h=20.25$ in our given formula and solve for t as:

$20.25= -3t^2+147$

$-3t^2+147=20.25$

$-3t^2+147-147=20.25-147$

$-3t^2=-126.75$

$\frac{-3t^2}{-3}=\frac{-126.75}{-3}$

$t^2=42.25$

Take square root of both sides:

$t=\pm \sqrt{42.25}$

$t=\pm 6.5$

Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.

6 0

3 years ago

An item is regularly priced at$75 . Chang bought it on sale for 15%off the regular price

Nonamiya [84]

Answer:

$63.75

Step-By-Step:

Part = % • Whole
Part = 15% • 75
Part = 63.75

Final Equation:

63.75 = 15% • 75

( 15% off of $75 is $63.75 )

8 0

3 years ago

What is the following sum? Assume x > 0 and y > 0 sqrt x^2y^2+2 sqrt x^3y^4+xy sqrt y

Gwar [14]

Answer:

$xy(1+2y\sqrt{x}+\sqrt{y})$