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PSYCHO15rus [73]
3 years ago
5

Solve the inequality. r6≤3

Mathematics
2 answers:
ladessa [460]3 years ago
7 0
R could be anything. But when you multiply it with 6 it should give you a result of a number less than 3. 
Example: if r=0.1, 0.1x6=0.6 which is less than or equal to 3.
The greatest number r can be is 1/2
cluponka [151]3 years ago
3 0

Answer:

6r\leq 3

r\leq \frac{1}{2}.

Step-by-step explanation:

Given,

the inequality

6r\leq 3

By dividing  6 on both sides  then we get

\frac{6r}{6} \leq \frac{3}{6}

By simplication we get the inequality

r\leq \frac{1}{2}

It means values of r can be any value less than \frac{1}{2}.

Therefore , we get maximum value of r=\frac{1}{2}

Therefore,  the values of r can be  from negative infinity to \frac{1}{2}.

Therefore , the set of values of r can be write as \left\{-\infty,\frac{1}{2} \right ].

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|\Omega|=QT=42-24=18\\ |A|=ST=42-29=13\\\\ P(A)=\dfrac{13}{18}\approx72.2\%\Rightarrow \text{D}

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The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produce
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<u>ANSWER</u>

The correct answer is A


<u>EXPLANATION</u>



To find the ink cost of each card coming from printer  B, we need to find the total cost from printer B and the total number of cards printed by Printer B.


The total hours of all the three printers over the three weeks

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415:25350


130:x


If less, more divides


x=\frac{130\times 25350}{415} \approx7941


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The ink cost

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to 2 decimal places

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4 years ago
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What is the slope of the line that contains the points (-4;2) and (6;-3) ?
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Answer:

-1/2

Step-by-step explanation:

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4 0
3 years ago
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

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D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

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