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Ket [755]
3 years ago
8

solve this system of linear equations. separate the x- and y-values with a comma. x = -42 - 8y -18x = -4 - 8y

Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:

x= -19/9

y= -17/72


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Express (16^3)^1/2 <br> in simplest radical form.
Rufina [12.5K]

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

6 0
3 years ago
Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q5
snow_tiger [21]

Answer:

T\text{he domain of H\lparen x\rparen is }\lbrace x\lvert x-3,1\rbrace

Step-by-step explanation:

The domain of a function is all the set of possible x-values that the function can take. Then, for the given function:

H\left(x\right)=\frac{-7x^2}{\left(x-1\right)\left(x+3\right)}

The function is undefined when the denominator is equal to 0, then equalize each factor of the denominator to 0:

\begin{gathered} x-1=0 \\ x=1 \\  \\ x+3=0 \\ x=-3 \\  \\ \text{ Then, the domain of H\lparen x\rparen is }\lbrace x\lvert x\ne-3,1\rbrace \end{gathered}

4 0
1 year ago
Use the compound interest formula to find the compound amount on a $12,000 investment at 5% compounded quarterly for 4 years.
katrin2010 [14]
Total = Principal * [1 + (rate/n)]^n*years
Where "n" is the compounding periods per year
Total = 12,000 * (1+(.05/4))^(4*4)
Total = 12,000 * (1.0125)^(16)
Total = 12,000 *  <span> <span> <span> 1.2198895477 </span> </span> </span> <span> </span>
Total = <span> <span> </span></span><span><span><span>14,638.67</span>


</span> </span>


5 1
3 years ago
If a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of nickles to all coins?
zepelin [54]

Answer:

18/36 or 1/2

Step-by-step explanation:

There are 18 nickels, which is the numerator.

You add all the numbers together to get the denominator, which is 12+6+18=36.

Then, you put the two values in a fraction - 18/36

and simplify, to get you 1/2.

3 0
3 years ago
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