A number is greater than or equal to three times another number. what are the numbers?

Answer:

Step-by-step explanation:

[tex]3(v^{8}) -w\\ 3v^{8}-w[/tex]

Answer:

2.55

Step-by-step explanation:

First take 11 and subtract it by 3 to get 8.

Then divide it by 3.14 and get 2.547770701...

After that round it to 2.55

It looks like the inequality is

[tex]\bigg|x + 6 - |3x + 6|\bigg| + |x + 2| - x - 4 \le 0[/tex]

or equivalently,

[tex]\bigg|x + 6 - 3 |x + 2|\bigg| + |x + 2| - x - 4 \le 0[/tex]

Recall the definition of absolute value:

[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]

By this definition, we have

[tex]|x + 2| = \begin{cases} x + 2 & \text{if } x + 2 \ge 0 \\ -(x + 2) & \text{if } x + 2 < 0 \end{cases} = \begin{cases} x + 2 & \text{if } x \ge -2 \\ -x - 2 & \text{if } x < -2 \end{cases}[/tex]

Suppose [tex]x < -2[/tex]. Then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (-x - 2)| + (-x - 2) - x - 4 \\\\ = |4x + 12| - 2x - 6[/tex]

By definition of absolute value,

[tex]|4x + 12| = 4 |x + 3| = \begin{cases} 4x + 12 & \text{if } x \ge -3 \\ -4x - 12 & \text{if } x < -3 \end{cases}[/tex]

so we further suppose that [tex]x < -3[/tex]. Then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (-4x - 12) - 2x - 6 \\\\ = -6x - 18 \le 0 \\\\ \implies x \ge -3[/tex]

but this is a contradiction, so this case gives no solution.

If instead we have [tex]-3 \le x < -2[/tex], then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (4x + 12) - 2x - 6 \\\\ = 2x + 6 \le 0 \\\\ \implies x \le -3[/tex]

and [tex]-3 \le x[/tex] and [tex]x \le -3[/tex] means that [tex]\boxed{x = -3}[/tex].

Now suppose [tex]x \ge -2[/tex]. Then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (x + 2)| + (x + 2) - x - 4 \\\\ = |-2x| - 2 \\\\ = 2 |x| - 2[/tex]

If we further suppose that [tex]-2 \le x < 0[/tex], then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = -2x - 2 \le 0 \\\\ \implies x \ge -1[/tex]

Otherwise, if [tex]x \ge 0[/tex], then

[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = 2x - 2 \le 0 \\\\ \implies x \le 1[/tex]

Taken together, this case gives the solution [tex]\boxed{-1 \le x \le 1}[/tex]

So, the overall solution to the inequality is the set

[tex]\boxed{\left\{ x \in \mathbb R : x = -3 \text{ or } -1 \le x \le -1 \right\}}[/tex]

Answer:

Arachnid is my guess.

Based on Lauren's income and the various deductions, the net pay for April is $1,151.44.

Taxable income:

= Semimonthly income - 401k - Section 125 plan

= (51,680 / 24 pay periods) - (0.03 x 51,680/24 periods) - 139

= 2,153.33 - 64.6 - 139

= $1,949.73

= Taxable income - federal income tax - state income tax - social security - Medicare - advance repayment

= 1,949.73 - (1.6% x 1,949.73) - (5.25% x 1,949.73) - (6.2% x 2,153.33 gross income) - (1.45% x 2,153.33) - 500

= $1,151.44

Find out more on taxable income at https://brainly.com/question/10137785.

Answer:

96 or 2,160

Step-by-step explanation:

Answer:

$13,020

Step-by-step explanation:

65,100 * 20% = 65,100 * 0.20 = 13,020

Answer:

7.48

Step-by-step explanation:

C=2πr

Solving for

r=C

2π=47

2·π≈7.48028

Answer:

Step-by-step explanation:

Circumference = 47 inches

[tex]2\pi r = 47\\\\2*3.14*r = 47\\\\6.28*r = 47\\\\r = \dfrac{47}{6.28}\\\\[/tex]

r = 7.48 in

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=16000\left(1+\frac{0.036}{4}\right)^{4\cdot 20}\implies A=16000(1.009)^{20}\implies A\approx 19100[/tex]

A turning point is a point at which the derivative changes sign. A turning point may be either a relative maximum or a relative minimum (also known as local minimum and maximum). 

Answer:

I would say 2 ft

Step-by-step explanation:

Have amazing day!

Please rate!

The line DB is 8cm which is made up of DE and EB which are equal to each other, thus DE and DB are both 4 cm.

Secondly, since AC and DB are perpendicular, that means angle DEC and angle DEA are ninety degrees.

Thus using the Pythagorean theorem, we can find the length of AE and EC which we can add up to find the length of AC.

           [tex]AE = \sqrt{AD^2-DE^2} =\sqrt{5^2-4^2} =\sqrt{25-16} =\sqrt{9}=3\\ \\EC=\sqrt{DC^2-DE^2}=\sqrt{6^2-4^2}=\sqrt{36-16} =\sqrt{20} =2\sqrt{5} =4.47[/tex]

By adding AE and EC, we get that the length of AE and EC is 7.47 or as approximated to the nearest tenth 7.5.

Hope that helps!

Step-by-step explanation:

what did we learn in the other question ?

there are 8 equal sub-segments of 1/8 length between neighboring whole numbers.

so, each little line is 1/8.

the marker goes first to 1, and then one little line towards 2.

therefore, that number is 1 1/8.

Answer:

18

Step-by-step explanation:

I2=h2+r2

25(2)=h2+7(2)

50=h2+14

-14 -14

36=h2

÷2 ÷2

18=h

8 percent of the number 156.25 is 12.5.

Let the unknown number be x.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 8% of x is 12.5

8% of x= 12.5

8/100 ×x= 12.5

0.08x=12.5

x=12.5/0.08

x= 156.25

Therefore, 8 percent of the number 156.25 is 12.5.

To learn more about the percentage visit:

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#SPJ6

4

1-

6

Step-by-step explanation:

its because i cant understand

Answer:

[tex]\Large \displaystyle \frac{7}{8}[/tex]

Step-by-step explanation:

Volume = area of cross-section × height

Mixed to improper fraction

7/4 × 1/2 = 7/8

Answer:

Store X, because the sale price would be $68

Step-by-step explanation:

vStore X, because the sale price would be $68

Assuming at Store Y all cameras are on sale for off the original price. The store with the better sale price is: Store y, because the sales price is $64.

Store x

x=80×(1-0.15)

x=80×0.85

x=68

Store y

y=80×(-1/5+1)

y=80×4/5

y=64

y=64≤68

Based on the above calculation store y is the best.

Inconclusion the store that would have the better sale price is: Store y, because the sales price is $64.

Learn more about store x and y here:https://brainly.com/question/20455611

Answer:

B

Step-by-step explanation:

This is an isosceles triangle. So, the sides opposite to equal angles are equal.

y = 5

To find x, use Pythagorean theorem,

x² = 5² + 5²

   = 25 + 25

   = 50

[tex]x =\sqrt{50}\\\\x=\sqrt{2*5*5}\\\\x=5\sqrt{2}[/tex]

Using the graph, it is found that:

a) The local minimum value of the function is of y = 0.

b) The values are x = -3, x = 3.

The local minimum of a function in a graph is the point at which the function changes from decreasing to increasing. In this problem, they are given by y = 0.

The values at which this happen is the values of x, that is, the horizontal axis. In this problem, they are at x = -3 and x = 3.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

x = 5 ± i√11 / 2

Step-by-step explanation:

At the y-intercept the value of y is equal to 0.

=> 0 = x² + 5x + 9

=> x = -5 ± √25 - 4(9) / 2

=> x = 5 ± √-11 / 2

=> x = 5 ± i√11 / 2

Answer:

4 hours and 33 minutes

Step-by-step explanation:

Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.

5*45 = 225

225+35 = 260 minutes or 4 hours and 33 minutes

Hi! I hope you're enjoying your day!

First, 8 multiplied by 5 is equal to 40.

Then, 40 over 12 is the same as 40 divided by 12.

But hey! 40 isn't divisible by 12.

So we write this as a fraction:

[tex]\bold{\displaystyle\frac{40}{12} }[/tex]

Surprise! This fraction can be reduced.

[tex]\bold{\displaystyle\frac{10}{3} }[/tex]

Hence, the answer is:

[tex]\boxed{\boxed{\bold{\displaystyle\frac{10}{3} }}}[/tex] <-- the answer written as an improper fraction

[tex]\boxed{\boxed{\bold{3\displaystyle\frac{1}{3}}}}[/tex] <-- the answer written as a mixed number

Hope everything is clear.

If you have any questions, please comment.

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[tex]\rule{250}{2}[/tex]

Answer:

C = 25.1

Step-by-step explanation:

Use the formulas:

Solving for C:

Round to the nearest tenth: