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3 years ago

Explanation and show work please.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

4 0

Answer would be A) -410 feet because you just add or subtract when needed that easy hope it helps! :p

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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

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2 years ago

I need it ASAP please help!!

alekssr [168]

Answer:

5,4,6,-7

Step-by-step explanation:

The y's are range

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3 years ago

V)<br> a common multiple of 6 and 8,<br> What number is a common multiple of 6 and 8?

Vaselesa [24]

Answer:

6, 12, 18, 24, 30, 36, etc.

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3 years ago

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Will give brainliest if correct

GenaCL600 [577]

Answer: put the parallelograms in the box that says 2 pairs of parallel sides next put the squares in the box that says 4 right angles the put rectangles in the box that says 4 congruent sides and last put rhombuses in the middle box that says 4 right angles and 4 congruent sides

Step-by-step explanation:

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3 years ago

There are 26 students in tour class. There are 4 more girls than boys. Use a system of linear equations to find how many boys ar

puteri [66]

<h3>Answer: B+B+4=26 2B=22 B=11 So then, G=11+4 G=15 Step-by-step explanation: </h3>

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3 years ago