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3 years ago

Which graph shows the solution set of x^2+4x-12/x 0

Mathematics

2 answers:

kupik [55]3 years ago

6 0

As shown in the figure below the answer is the last option:

$(-6, 0) \cup (2, +\infty)$

The roots of the polynomial in the denominator are:

$x_{1}=-6$
$x_{2}=2$

So, the inequality can be written as follows:

$\frac{(x-2)(x+6)}{x}\ \textgreater \ 0$

From this inequality we can study the signs and get the same conclusion just as shows the graph.

MatroZZZ [7]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is the prime factorization of 18

choli [55]

Answer: A

Step-by-step explanation: because you cant simplify 3 or 6 anymore but the rest you can 9 can be simplified to 3 and 3

4 0

2 years ago

PLEASE I REALLY NEED HELP!

vagabundo [1.1K]

Answer:

$\frac{3}{28}$

Step-by-step explanation:

Probability (P) is calculated as

P = $\frac{requiredoutcome}{count}$

The first required outcome is a red sweet from a total of 3 + 5 = 8

P( red) = $\frac{3}{8}$

There are now 2 red left and a count of 7, since 1 has been eaten, thus

P( second red ) = $\frac{2}{7}$

P( red and red ) = $\frac{3}{8}$ × $\frac{2}{7}$ = $\frac{6}{56}$ = $\frac{3}{28}$

6 0

3 years ago

Find the are of the shape below

skelet666 [1.2K]

Answer:

Area is 235

Step-by-step explanation:

Split the shape evenly so 11 x 14 and 9 x 9then multly and add

when slpitting up the number some times you have to add or subtract so to get 9 x 9 we just take 20 then take away 11 due to the line going through 20 and 20 - 11 = 9

9 x 9 = 81

11 x 14 = 154

81 + 154 = 235

Simular to the first one but the cutting line is different. this time the line cuts through 14

9 x 20 = 180

11 x 5 = 55

180 + 55 = 235

8 0

1 year ago

5 friends go out to lunch and order 4 pizzas . The friends divided the pizzas evenly. find how much pizza each friend got as a d

Ainat [17]

0.8 I think. I'm not 100% sure

8 0

3 years ago

Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as

My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.

1 mile = 1609.34 meters

1 hour = 3600 second

Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

7 0

2 years ago