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mafiozo [28]
2 years ago
14

Select the correct answer:

Mathematics
1 answer:
OleMash [197]2 years ago
8 0
D is the correct answer
You might be interested in
Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution
Blababa [14]

Answer:

If you mean only one rational solution, the answer is

k_1 = 8, k_2 = -8

If you mean at least 1 rational solution, the answer is

k\in (-\infty, -8]\cup[8, \infty)

Step-by-step explanation:

4x^2 + kx + 4 = 0

Let's calculate the discriminant.

\Delta = b^2 - 4ac

\Delta = k^2 -4 \cdot 4 \cdot 4

\Delta = k^2 -64

Now, remember that:

\text{If } \Delta > 0 : \text{2 Real solutions}

\text{If } \Delta = 0 : \text{1 Real solution}

\text{If } \Delta < 0 : \text{No Real solution}

Therefore, I will just consider the first two cases.

k^2 - 64 > 0

and

k^2 -64 = 0

\boxed{\text{For } k^2 - 64 > 0}

k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64}   \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)

\boxed{\text{For } k^2 - 64 = 0}

k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8

7 0
3 years ago
Coins are marked with the letters A-G. What is the probability of selecting a coin with a vowel on it?
Lemur [1.5K]
A B C D E F G.

Out of these, 2/7 letters are vowels.

2 / 7 ≈ 0.286 
0.286 * 100 = 28.6%

Therefore the correct answer is A.
4 0
4 years ago
Read 2 more answers
A. x<br> B. x^6<br> C. x^9<br> D. x^4
ivanzaharov [21]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
3) Suppose 8.10% sale tax was added to the sale price $800 of the bicycle. What was the total
SOVA2 [1]
Price $800
+ tax (800*8.10%) $64.80
total price need to be paid $864.80
7 0
3 years ago
Sing the order of operations, what should be done first to evaluate 12/(-6)(3)+2
alex41 [277]
The order of operations is PEMDAS. You would work on multiplying the -6 and 3.
3 0
4 years ago
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