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Morgarella [4.7K]
3 years ago
10

The sum of three consecutive even numbers is 48. what are the smallest of these numbers?

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0
14 + 16 + 18= 48 so the answer would be 14
Kay [80]3 years ago
6 0
Consecutive numbers = 14, 16, 18. The smallest out of all three numbers are 14 so the answer is 14.
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You randomly select one card from a 52-card deck. Find the probability of selecting a two or a jack.
Margarita [4]

4 twos and 4 Jack's 4+4=8. 8/52=4/26=2/13

2/13 is the simplest form

4 0
3 years ago
Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
Convert 86 degrees Fahrenheit to degrees celsius
dybincka [34]
86 degrees Fahrenheit is 30 degrees Celsius 
3 0
3 years ago
Read 2 more answers
The sum of 4 consecutive odd numbers is 40.<br> What is the second number in this sequence?
Tcecarenko [31]

Answer:

7,9,11,13 = 40

Step-by-step explanation:

second number is 9

7 0
3 years ago
Read 2 more answers
I’m stuck on this please someone help
kakasveta [241]

Answer:   \bold{a_{n+1}=\dfrac{1}{2}a_n}

<u>Step-by-step explanation:</u>

Term-to-term rule is also called the recursive rule.

The recursive rule for a geometric sequence is: a_{n+1}=a_n\cdot r  where

  • a_n\ \text{is the previous term}
  • r is the common ratio

The common ratio (r) is the second term divided by the first term <em>(which is the same ratio for each term divided by its previous term) </em>

In the given sequence {64, 32, 16, 8, 4}, r=\dfrac{32}{64}\quad \rightarrow \quad r=\dfrac{1}{2}

So, the recursive rule is: {a_{n+1}=a_n\cdot \dfrac{1}{2}

6 0
3 years ago
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