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laila [671]
3 years ago
14

A number cube is rolled. What is the probability of rolling a 2,3, or 5?

Mathematics
1 answer:
Liula [17]3 years ago
4 0
Well if the number cube goes up to 6 like most number cubes, then the probability would be 3/6 because there are 3 numbers that you want to roll (2, 3, and 5) out of 6 total numbers (1-6). Then 3/6 can be further simplified to 1/2. So the answer should be 1/2.
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As low tide came in, the ocean dropped by a rate of 12 inches every 3 minutes. Write a rational # describing this rate.
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You can write every speed as the ratio between the space and time, so in this case you have

\dfrac{12\text{ inches}}{3\text{ minutes}} = 4\ \dfrac{\text{inches}}{\text{minute}}

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Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to
prohojiy [21]

Answer: 17.6 facetime

Step-by-step explanation: just did the assignment and it was right

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