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Vikki [24]
3 years ago
11

Simplify and state the domain for x^2-x-12/x-4​

Mathematics
1 answer:
saw5 [17]3 years ago
8 0

The domain of a function is the set of input values the function can take

The domain is all set of real numbers

<h3>How to determine the domain</h3>

The expression is given as:

\frac{x^2 - x - 12}{x - 4}

Factorize the numerator of the expression

\frac{(x - 4)(x + 3)}{x - 4}

Simplify: Cancel out the common terms

x + 3

The above expression can take any value of x.

Hence, the domain is all set of real numbers

Read more about domain at:

brainly.com/question/2264373

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10. Find the theoretical probability of rolling a number less than 4 on a standard number cube
snow_lady [41]
<h3>Answer:  1/2</h3>

Explanation:

Here's the event space

E = {1,2,3}

this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.

The sample space is the set of all possible outcomes, namely,

S = {1,2,3,4,5,6}

which is all of the values on the die. There are B = 6 items in this set.

Divide the values of A and B to get the theoretical probability:

P(rolling a number less than 4) = A/B = 3/6 = 1/2

6 0
3 years ago
Read 2 more answers
QUICK ANSWERS PLEASE!!
Kobotan [32]

Answer:

  • 24 sides

Step-by-step explanation:

Sum of exterior angles of regular polygons is 360°.

If each angle measures 15°, then the number of sides:

  • 15n = 360
  • n = 360/15
  • n = 24
5 0
3 years ago
Read 2 more answers
Solve for perimeter and area of rectangle
agasfer [191]
U would find the distance between the each point, though since the rectangle has two pairs of congruent sides you only need to solve for two and add/multiply accordingly using p = 2l + 2w and a = lw . my phones a little broken so I can’t see the pic/solve exactly but u could use the distance formula to find the lengths of the lines. hope this helped
3 0
4 years ago
Lola used 2 1/2 ink cartridges while her friends used 1 3/4 ink cartridges. How many more ink cartridges did Lola use than her f
iVinArrow [24]

Answer:

Lola used 3/4 more ink cartridges than her friends

Step-by-step explanation:

6 0
3 years ago
Can someone help with both questions 19 &amp; 20
nikitadnepr [17]

Answer:

19.

h=0, the result is 1000×2⁰ = 1000

this is the population of bacteria the excitement started with at the very beginning.

h=-3, the result is 1000×2-³ = 1000/(2³) = 1000/8 = 125

this is a calculation 3 hours backwards from the very start of the experiment, saying that if we started the experiment 3 hours earlier, this would have had to be the starting population of the bacteria so we would arrive at the same amount of population at any given time (value of h).

20.

D 25x⁶

Step-by-step explanation:

for 19 there is not more explanation. it is all ashtray in the answer.

for 20 we see that we are dealing with a square, so ask 4 sides have the same length.

one side is 5x³.

the area of a square is simply side².

so, here (5x³)² = 25x⁶

7 0
3 years ago
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