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3 years ago

Someone please help!! I don't understand this

Mathematics

1 answer:

OLga [1]3 years ago

5 0

Answer:

b because y=x and b is in the specified area of within and i took the test a week ago.

Step-by-step explanation:

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Biking at 10 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t

vivado [14]

<span>d = 18 mi is the answer</span>

6 0

3 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

Convert 8/20 to a percent

nikitadnepr [17]

Answer:

40%

Step-by-step explanation:

8/20

Divide it to get a decimal.

8/20 = 2/5 = 0.4

Change the decimal into a percent by moving the decimal point 2 places to the right.

0.4 = 40%

7 0

2 years ago

Evaluate cot arcsin 4/5

yan [13]

Evaluated is 4/5
decimal form is 0.8

3 0

2 years ago

What is the domain of the following function?

Softa [21]

The domain of the function is (-1,0,1,2,3,4,5)

for the graph the domain is (-∞,<span>∞</span>)

4 0

3 years ago