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Kruka [31]
3 years ago
13

Can someone PLEASE help me with questions #5 and 6

Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Domain={8,9}

Range = { -3,-4,-6,-9}

No relation is not function as elements in domain are related to more than one element of codomain

You might be interested in
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
What is |-6,035| ?<br> Plz help
cluponka [151]
The absolute value is the distance between a number and zero. The distance between
-6035 and 0 is 6035
8 0
3 years ago
Read 2 more answers
Find the area and perimeter of the following
suter [353]

Answer:

Perimeter is 8x²y+26x

Area is 52x³y

Step-by-step explanation:

The perimeter is 2W+2L and area is LW

Perimeter:

2(4x²y)+2(13x)

8x²y+26x

Area:

(4x²y)(13x)

52x³y

3 0
2 years ago
Plz help thanks sm!!!!
Snowcat [4.5K]

n = a number

2n = twice a number

2n - 7 = seven less than twice a number


4 0
3 years ago
I dont understand how to do the 2x part.
kodGreya [7K]

Answer:

x=6 2/3

Step-by-step explanation:

Ratio of DEF:ABC=5/3

8*5/3=13 1/3

x=6 2/3


4 0
2 years ago
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