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3 years ago

Solve 2/3 x > 8 or 2/3 x <4

Mathematics

1 answer:

morpeh [17]3 years ago

8 0

Answer:

Option 1: {x | x > 12 or x < 6}

Step-by-step explanation:

Given inequalities will be solved one by one:

$\frac{2}{3}x >8\\2x > 8*3\\2x>24\\x > \frac{24}{12} \\x>12$

$\frac{2}{3}x$

Hence we can see that the solution of both inequalities combined is:

x>12 or x<6

Hence, option 1 is correct ..

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Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc

drek231 [11]

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

6 0

3 years ago

the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large

Dmitriy789 [7]

Answer:

The volume of the similar prism is $336\ cm^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

$z^{3}=\frac{x}{y}$

In this problem we have

$z=2$ -----> the scale factor

$y=42\ cm^{3}$

substitute and solve for x

$x=42(2^{3})=336\ cm^{3}$

3 0

3 years ago

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.

Alexus [3.1K]

It would need 288 cubes to fill up the prism.

7 0

3 years ago

Read 2 more answers

The graph of f(x) = 2x2 + x – 15 passes through the point (0, –15) and one of its zeros is (2.5, 0). What is the other zero of t

pogonyaev

Answer:

x=-3

Step-by-step explanation:

6 0

3 years ago

Simplify 8a-5b-(6a-9b)

pychu [463]

Answer:

Step-by-step explanation:

$8a - 5b - (6a - 9b)$

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression.

$8a - 5b - 6a + 9b$

Collect like terms

$2a + 4b$

Factor out 2 from the expression

$2(a + 2b)$

Hope this helps...

Good luck on your assignment..

7 0

3 years ago