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mamaluj [8]
3 years ago
12

Inequality Choose all answers that apply

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option A;  m \leq\frac{3}{5}

»»————- ★ ————-««  

Here’s why:  

  • We can use inverse operations to solve for 'm'.

⸻⸻⸻⸻

\boxed{\text{Solving for 'm':}}\\\\5m+1\leq4\\--------\\\rightarrow 5m + 1 - 1 \leq 4 - 1\\\\\rightarrow 5m\leq3\\\\\rightarrow \frac{5m\leq3}{5}\\\\\rightarrow \boxed{m\leq\frac{3}{5}}

⸻⸻⸻⸻

Any number that is less than or equal to the value of three-fifths would work.

The option that is less than or equal to (3/5) is option A.

Assuming that there are more options than the options shown, choose the numbers that are less than or equal to (3/5).

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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Given:

Consider the equation is:

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Solution:

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Taking left hand side (LHS), we get

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LHS=\dfrac{3\log 10}{3\log 2}                   [\because \log x^n=n\log x]

LHS=\dfrac{\log 10}{\log 2}

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LHS=RHS

Hence proved.

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3 years ago
Which linear function represents the line given by the point slope equation y + 7= 2/3(x+6)
Andrews [41]

Hello from MrBillDoesMath!

Answer:   f(x) =   (2/3)*x -3   -- which is not a provided answer..


Discussion:


We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:


y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3

        =   (2/3)*x + 4


Subtract 7 from both sides:

y + 7 - 7 = (2/3)*x + 4 - 7

or

y =  (2/3)*x -3



Thank you,

MrB


y + 7= 2/3(x+6)

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