2 years ago

Select the correct answer:

Mathematics

1 answer:

OleMash [197]2 years ago

8 0

D is the correct answer

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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:

Step-by-step explanation:

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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

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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.

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4 years ago