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ASHA 777 [7]
3 years ago
5

Factor this expression completely.

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

A

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

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Jeremy will roll a number cube, numbered 1-6, twice. What is the probability of rolling an even number than the number 3?
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Use the Venn diagram to calculate probabilities
Shkiper50 [21]

From the Venn diagram, we can gather that there are 35 total objects (6 in both A and B; 15 in A but not B; 10 in B but not A; and 4 in neither A nor B), and we have the probabilities

\mathbb P(A\cap B)=\dfrac6{35}

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\mathbb P(B)=\dfrac{10+6}{35}=\dfrac{16}{35}

By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{\frac6{35}}{\frac{16}{35}}=\dfrac6{16}=\dfrac38

P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac6{35}}{\frac{21}{35}}=\dfrac6{21}=\dfrac27

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PLEASE HELP I HAVE PICTURE!!!
ludmilkaskok [199]

3rd option: -\frac{1}{2} < t \leq 3 is the correct answer

Step-by-step explanation:

First of all, we have to observe the number line

Observing the number line we can see that the number -0.5 or -1/2 is not included in the solution as the circle on -1/2 is empty. An empty circle means that the number is not included in the solution.

While on the other side we can see that 3 has a filled circle which means 3 is included in the solution

This means that the solution might be:

t>-0.5\\and\\t \leq 3

By comparing the observation and the answer choices we can conclude that

3rd option: -\frac{1}{2} < t \leq 3 is the correct answer

Keywords: Inequalities, solution

Learn more about inequalities at:

  • brainly.com/question/4703820
  • brainly.com/question/4706270

#LearnwithBrainly

4 0
3 years ago
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