All categories

2 years ago

Which inequality represents all values of x for which the quotient below is defined?

Mathematics

1 answer:

garri49 [273]2 years ago

7 0

Answer:

Option B: x > 0

Step-by-step explanation:

Option A is wrong because $\sqrt{3(0)}$ will be 0. So, the inequality can't be divided by 0.

Option C is wrong because 1 will suffice this inequality. $\sqrt{7}/\sqrt{3}=1.5 (approx)$

Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).

Leaving us with only option B, which is the right answer.

You might be interested in

Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exac

Nataly_w [17]

Answer:

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

$v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})$ (1)

Where:

$s_{o}$ , $s_{f}$ - Initial and final position of the softball, measured in feet.

$a$ - Acceleration, measured in meters per square second.

$v_{o}$ , $v_{f}$ - Initial and final velocities of the softball, measured in feet per second.

If we know that $v_{o} = 50\,\frac{ft}{s}$ , $a = -32.174\,\frac{m}{s^{2}}$ and $s_{o} = 4\,ft$ , then the equation that models the situation is:

$v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)$

Then, we clear the final position of the softball:

$-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4$

$s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

8 0

2 years ago

Which expressions are equivalent to -2(5x-3/4)?

kogti [31]

Answer:

-10x+3/2

Hope this helps

6 0

2 years ago

Shirts with a school's mascot were printed, and the table shows the number of people who bought them the first, second, third, a

Klio2033 [76]

Answer: Refer to picture

Explanation: as the weeks go on, the number of sales increase. This means it has to be positively skewed, so graphs with the dots lower as it moves to the right can be knocked out

This leaves us with 2, since the rate of change in sales isn’t linear (22 -> 44 ->66) and is instead quicker at the start, it is not the straight graph, must be the curved one