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FinnZ [79.3K]
3 years ago
14

What is the answer? 6^2(2/5 +5)-3

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

\text{Hey there!}

\mathsf{Do\ PEMDAS\ to solve\ for\ this\ equation!}

\text{PEMDAS simply means}\downarrow

\bullet\ \large\text{\bf{Parentheses}}  \large\checkmark

\bullet \ \large\text{\bf{Exponents}} \large\checkmark

\bullet\ \large\text{\bf{Multiplication}} \large\checkmark

\bullet\ \large\text{\bf{Division}} \large\checkmark

\bullet \ \large\text{\bf{Addition}}  \large\checkmark

\bullet\ \large\text{\bf{Subtraction}} \large\checkmark

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\mathsf{6^2(\dfrac{2}{5} + 5)-3}\downarrow

\mathsf{(\dfrac{2}{5}+5) = \boxed{\underline{\bf{\dfrac{27}{5}}}}}

\mathsf{6^2=6\times6=\boxed{\underline{\bf{36}}}}

\mathsf{36(\dfrac{27}{3})=\boxed{\mathsf{\underline{\bf{\dfrac{972}{5}}}}}}

\mathsf{\dfrac{972}{5}-3=\ \boxed{\mathsf{\underline{\bf{\dfrac{957}{5}}}}}}

\boxed{\boxed{\bf{Answer: \boxed{\mathsf{\bf{\dfrac{957}{5}}}}}}}\ \checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

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What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
Can someone help me with this math homework please!
mamaluj [8]

Answer:

The rock hits the ground between <u>2</u> seconds and <u>2.5</u> seconds after it is dropped

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccl}t&h(t)&Description\\0&20&Initial \ height\\0.5&18.8&Rock \ in \ downward \ motion\\1&15.1&\\1.5&9&\\2&0.4&The \ height \ just \ before \ the \ rock \ hits \ the \ ground \\2.5&-10.6&The \ calculated \ height \ after\ the \ rock \ hits \ the \ ground \\3&-24.1&Calculated \ height \ after\ the \ rock \ hits \ the \ ground\end{array}

Therefore, the rock hits the ground between t = 2 seconds and t = 2.5 seconds after it is dropped.

4 0
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