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olga2289 [7]
4 years ago
6

Solve the compound inequality 3x+12 -9 and 9x-3 33

Mathematics
1 answer:
Nadya [2.5K]4 years ago
7 0
Solve each seperately

3x+12>-9
minus 12 both sides
3x>-21
divide by 3 both sides
x>-7


9x-3<33
add 3 both sides
9x<36
divide both sides by 9
x<4

so

x>-7 and x<4
-7<x<4
solution is all numbers betwee -7 and 4 not including -7 nor 4
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May I have some help?
Sholpan [36]

Answer:

0 ÷ 3 = 0

Step-by-step explanation:

if x = 0 you put it in where the x is

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3 years ago
A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE R
erma4kov [3.2K]

Answer:

A. \frac{17}{52}

B. \frac{17}{52}

C. \frac{2}{13}

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  \frac{17}{52} chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : \frac{17}{52}

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is \frac{8}{52} which simplifies to =\frac{2}{13}

<em>As per brainly guidelines I can only answer 3 questions in one answer</em>

7 0
2 years ago
Read 2 more answers
Suppose f(x)= x^2. What is the graph of g(x)= f(4x)?
melamori03 [73]

Answer:

Option A is the correct one.

Step-by-step explanation:

If f(x) = x² then g(x) = f(4x) = (4x)² = 16x² ........ (1)

Now, for any real value of x, the g(x) is positive.

Therefore, option B and option C is not correct.

Now, from the graph given in option A, it is clear that for y = 5, x value is near ±\frac{1}{2}.

So, putting x = \frac{1}{2} in the equation (1), we get g(x) = 16(0.5)² = 4 which is close to 5.  

Therefore, option A is the correct one. (Answer)

3 0
3 years ago
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belka [17]
15² + 36² = 39² correct
24² + 45² = 51²  correct
21² + 72² = 76² wrong
18² + 24² = 30² correct

The third one is wrong because 21² + 72² = 75²

Hope This Helps! :)
8 0
3 years ago
On a city map drawn on a coordinate plane, the city park is located at (4, 9) and the school is at (20, 9). What is the distance
Mrrafil [7]
The distance between the two is 16.

This is because we know that they y coordinates are the same, so then all we need to know is the difference between the two x coordinates. In this case, all we have to do is subtract 4 from 20.

Hope that this helped.
3 0
3 years ago
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