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3 years ago

Two and one ninth minus seven sixth equals

Mathematics

2 answers:

Jobisdone [24]3 years ago

7 0

2 1/9 - 7/6
19/9 - 7/6
38/18 - 21/18=17/18

tatiyna3 years ago

4 0

.944
2 1/9 = 2.111
7/6 = 1.167
2.111-1.167= .944

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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

4 0

2 years ago

Can you help me solve this <br><br>Show your workings<br>

True [87]

Card P is the answer
8*3=24
8*4=32
8*5=40

8 0

2 years ago

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Help ❤️ idc if my name shows

Elan Coil [88]

Answer:

Step-by-step explanation:

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3 years ago

Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what in

abruzzese [7]

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

5 0

3 years ago

-2(-3x+5y)+3(-4+2y)?????????

Tatiana [17]

Regroup terms

-2(-3x + 5y) + 3(2y - 4)

Expand

6x - 10y + 6y - 12

Collect like terms

6x + (-10y + 6y) - 12

Simplify

6x - 4y - 12

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3 years ago

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