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3 years ago

8

What is 182 divided by 13 using a quick picture and base ten blocks

1 answer:

elena55 [62]3 years ago

7 0

The answer is 14 is that what you are looking for

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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

How to solve j 5/6=17/18?

erma4kov [3.2K]

5/6 j = 17/18
6/5 x 5/6 j =6/5 x 17/18
j = 1/5 x 17/3
j = 17/15

5 0

3 years ago

there are 8 pieces of fruit in a basket including 4 apples what is the probability that a randomly selected piece of fruit will

Helen [10]

Answer:

$\frac{1}{2}$ is the probability for picking fruits and it will be apple.

Explanation:

probability of picking apple: $\boxed{\frac{total -apples}{total-fruits} }$ → $\frac{4}{8}$ → $\frac{1}{2}$

7 0

3 years ago

Booneville Middle School spends $22 for every workbook it buys. At most how many

Kipish [7]

Answer:

2

Step-by-step explanation:

$44 / 22 = 2

6 0

3 years ago

Four college roommates rented an apartment together. When they

Yuki888 [10]

Answer:

Step-by-step explanation:

What we do is to divide 1500 by 4 = $1500/4 = $375

5 0

3 years ago