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3 years ago

Use the distributive property to write an equivalent expression. 4(2x+3)

Mathematics

2 answers:

arsen [322]3 years ago

6 0

Answer: to confusing

Step-by-step explanation:

ira [324]3 years ago

5 0

Answer:

20x

Step-by-step explanation:

4(2x+3)

4(5x)

4x5x

20x

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How do I find mean median range iqr and standard deviation

ycow [4]

Answer: to find the mean add the numbers that were given then Divine by the amount of numbers you added. To find the median put all the numbers in numerical order and pick the middle one if it is an even amount of numbers than you pick the number exactly halfway between the two middle. To find the range you see how many numbers are repeated in which ever number is repeated the most amount of times that is the range.

Step-by-step explanation:

6 0

2 years ago

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

Alana and her friends decided to have a water fight on a hot summer day. They filled a bunch of water balloons and started the f

tatiyna

Answer:

after the ballon fight it would be 12:45 pm

after they sprayed themselves with water it would be 1 :40 pm

1 : 40 pm is when alana's dad showed up

7 0

3 years ago

Read 2 more answers

Plz help!! if f(x)=1/x and g(x)=x+3, which of the following is the graph of (f*g)(x)

Nataly [62]

Answer:

Step-by-step explanation:

the first one is correct

6 0

3 years ago

Selmas class making a care package to give to victims of a natural disaster.Selma packs one box in 5 minutes and has already pac

bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

<u><em>Explanation</em></u>

Suppose, they need to work for $x$ minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that $x$ minutes $=\frac{x}{5}$ and the number of boxes packed by Trudy in $x$ minutes $=\frac{x}{7}$

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if <u>each of them packed the same number of boxes</u>, then the equation will be......

$12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105$

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.

6 0

3 years ago