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PSYCHO15rus [73]
4 years ago
5

Solve the inequality. r6≤3

Mathematics
2 answers:
ladessa [460]4 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]4 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 ].

You might be interested in
For the given equation, find the center and radius of the circle<br>x2 + (y + 3)2 = 49​
alexira [117]

Step-by-step explanation:

×2+(y+3) 2=49

2×y=2y=2×3=6

49-2=47

2y=47-6=41

2y=41÷2=20 1/2

3 0
3 years ago
HELP PLEASE
mario62 [17]

Answer:

26.4

Step-by-step explanation:

<u>Law Of Cosines:</u>

    cos(A)=\frac{b^2+c^2-a^2}{2bc}

    This should work for any side. This can generally be thought as:

   cos(\text{angle}) = \frac{\text{sum of squares of two other sides-opposite side squared}}{\text{2 times the product of the other two sides}}

    If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)

   cos(B)=\frac{a^2+c^2-b^2}{2ac}

   cos(C) =\frac{a^2+b^2-c^2}{2ab}

Anyways now just plug in the known values into the equation

cos(A)=\frac{4^2+6^2-3^2}{2(6)(4)}\\

Square and multiply values

cos(A)=\frac{16+36-9}{48}

Add the values in the numerator

cos(A)=\frac{43}{48}

Take the inverse of cosine on both sides

A=cos^{-1}(\frac{43}{48})

calculate arccosine (inverse cosine) using a calculator

A\approx 26.384

Round to nearest tenth

A\approx26.4

7 0
2 years ago
If 3m = 19 - n and 2m + 5n = 30, then what is the value of m?
nexus9112 [7]

Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

<u>-19  -19</u>

3m-19=-n      Divide everything by -1 to make n positive.

<u>/-1        /-1</u>

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        <u>-95 -95</u>

-13m=-65                    Divide both sides by -13.

<u>/-13    /-13</u>

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

8 0
3 years ago
Identify the percent change: 14 dollars to 10 dollars
Xelga [282]

Hello from MrBillDoesMath!

Answer:

 - 28.6 %  (approx)



Discussion:

14 -> 10 dollars is a drop of (14-10) or 4 dollars.  The percent drop  is given by

(14-10)/14 =

4/14 =

2/7 =

28.6%  (approx)


Since this is a drop the percent is actually negative = - 28.6%


Thank you,

MrB

7 0
4 years ago
Would shadows be 3 dimensional in 4 dimenional space
azamat
4 Dimensional<span> shapes can</span><span> cast </span>3 dimensional shadows<span>. ... M</span><span>aybe a </span>shadow<span> is the fourth dimension, its been here all the time.</span>
4 0
3 years ago
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