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3 years ago

75 - { ( 8 x 3 ) + 6 }

Mathematics

2 answers:

borishaifa [10]3 years ago

5 0

The answer is:

I serched it up on the calculator. Hope this helps you! :)

raketka [301]3 years ago

3 0

Answer:

75-{(8×3)+6}
75-{24+6}
75-30
45

hope it helps

<h3>stay safe healthy and happy.</h3>

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Log(x-2)+log2=2logy<br>log(x-3y+3)=0

In-s [12.5K]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right$

$===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}$

$\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac$

$y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D$

$\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D$

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3 years ago

3. You have spent a total of $440 total on your gym membership so far. If the gym charges a

slava [35]

Answer:

13 months

Step-by-step explanation:

m=number of months

30(m)+50

30*13= 390

390+50=440

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3 years ago

A farmer owns 1,000 acres. The farmer buys farms of 120 acres, 160 acres, and 700 acres and sells one farm of 190 acres. How man

vredina [299]

Answer : The area of land a farmer own now is, 1790 acres

Step-by-step explanation :

Area of land a farmer owns = 1000 acres

Total area of land farmer buy = 120 acres + 160 acres + 700 acres

Total area of land farmer buy = 980 acres

Area of land a farmer sells = 190 acres

Thus, the remaining area of land a farmer has = Total area of land farmer buy - Area of land a farmer sells

The remaining area of land a farmer has = 980 acres - 190 acres

The remaining area of land a farmer has = 790 acres

Now we have to determine the area of land a farmer own now.

Area of land a farmer own now = 1000 acres + 790 acres

Area of land a farmer own now = 1790 acres

Therefore, the area of land a farmer own now is, 1790 acres

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3 years ago

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ZanzabumX [31]

Answer:

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Step-by-step explanation:

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2 years ago

How can you determine the type of the triangle based on the lengths of the sides in a triangle?

Mama L [17]

Answer:

You can determine the type of triangle using the following facts related to the converse of the pythag theorem

if a^2 + b^2 > c^2, then it is an obtuse triangle

if a^2+b^2<c^2, then it is an acute triangle

finally, if a^2+b^2=c^2, then it is a right triangle

<u><em>NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!</em></u>

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3 years ago