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4 years ago

What is the solution to the inequality |3x|>0

Mathematics

2 answers:

GrogVix [38]4 years ago

7 0

Sonja [21]4 years ago

5 0

Answer: The required solution is $x>0~\textup{or}~x$

Step-by-step explanation: We are given to find the solution of the following inequality:

$|3x|>0~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that,

If $|x|>a,$ then we have

$x>a~~~~~~\textup{or}~~~~~~x$

From inequality (i), we get

$|3x|>0\\\\\Rightarrow 3x>0~~~~~\textup{or}~~~~~3x\dfrac{0}{3}~~~~~~~~~~~~\Rightarrow 3x3~~~~~~~~~~~~~\Rightarrow x3~~~~~~~~~~~~~\Rightarrow x$

Thus, the required solution is $x>0~\textup{or}~x$

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Graph the function. y=5 (x+1) ^2 -3

ra1l [238]

Answer:

Step-by-step explanation:

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3 years ago

Need this answered today, will give brainliest: The Steelers are on the Cowboys’ fifteen-yard line. Use your place value mat or

Nata [24]

Answer: 15 yards

Step-by-step explanation:

From the question, we have been informed that the Steelers are on the Cowboys' fifteen-yard line. Using the place value mat to calculate how much farther Steelers need to travel to score a touchdown goes thus:

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3 years ago

Solve v^3 = -26 where v is a real number.<br> Simplify your answer as much as possible.

il63 [147K]

Answer:

nearby -3

Step-by-step explanation:

When v^3 is -26, your v is equal to $-\sqrt[3]{26}$ .

3^3 is 27, so v is nearby 3.

or, It would be nearby 3.9

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3 years ago

You’ve observed the following returns on Crash-n-Burn Computer’s stock over the past five years: 14 percent, –9 percent, 16 perc

MatroZZZ [7]

Answer:

a. 9%

b. 0.01445

c. 12.02%

Step-by-step explanation:

n = 5 years

Return rates = 14%, –9%, 16%, 21%, and 3%

a. Arithmetic average return

$A= \frac{14-9+16+21+3}{5} \\A=9.00$

b. Historical variance (to 5 decimal places)

$V= \frac{\sum (X_i-A)^2}{n-1} \\V= \frac{(0.14-0.09)^2+(-0.09-0.09)^2+(0.16-0.09)^2(0.21-0.09)^2(0.03-0.09)^2}{5-1}\\ V=0.01445$

c. Standard deviation.

$s = \sqrt{V} \\s= \sqrt{0.01445}\\s=0.1202 = 12.02\%$

8 0

3 years ago

What is the area of the shaded portion of the circle?

SOVA2 [1]

Answer:

The first option is the correct one, the area of the shaded portion of the circle is

[/tex](5 \pi -11.6)ft^2[/tex]

Step-by-step explanation:

Let us first consider the triangle + the shadow.

The full area of the circle is the radius squared times pi, so

A= $(5 ft)^2 \cdot \pi \\25 ft^2 \cdot \pi$

Since $\frac{72^{\circ}}{360^{\circ}}=\frac{1}{5}$ , the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

$A_1=\frac{1}{5}25 ft^2 \cdot \pi\\ =5 ft^2 \cdot \pi$

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from $A_1$ .

The area of the triangle is given by

$A_{triangle}=\frac{1}{2}\cdot (2.9+2.9)ft \cdot 4 ft\\= 11.6 ft^2$

Thus the area of the shaded portion of the circle is

$A_1-A_{triangle}=5 \pi ft^2-11.6ft^2\\= (5 \pi -11.6)ft^2$

3 0

3 years ago