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1 year ago

Select the correct answer.

Mathematics

1 answer:

devlian [24]1 year ago

4 0

The answer is c Sam buys gas at a slower rate of 3.4 mile per gallon

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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

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2 years ago

PIHLDF sala de among us entren

Lilit [14]

Answer:

i dont speak spanish

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How do you do this? please help me

Anastaziya [24]

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = $\frac{1}{2} (Base)(Height)$

Where Area = 12 cm², Base = 4 cm

12 = $\frac{1}{2}(4)(Height)$

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC $(f)$

So,

f = 10 cm

Now, Finding g

Area of ABCD = $Base * Height$

Where Area = 48 cm², Base = 10 cm

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

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3 years ago

A cooler measures 30 cm wide, 30 cm long, and 25 cm tall. Which is the correct unit of measurement to use when describing the am

Maurinko [17]

Since we are using 3 sides of measurement and are looking for a volume, or a 3rd dimensional amount, the correct unit of measure is going to cm3, which is B.).
I hope this helps!

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3 years ago