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galina1969 [7]
4 years ago
10

For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you subs

titute into the second equation? -x - 2y = -4 3x + y = 12
a. -2y - 4
b. 2y - 4
c. 2y + 4
d. -2y + 4
Mathematics
1 answer:
tatiyna4 years ago
4 0
-x-2y=-4 \\ 3x+y=12 \\ \\ \hbox{the first equation:} \\ -x-2y=-4 \ \ \ \ \ \ |+2y \\ -x=2y-4 \ \ \ \ \ \ \ \ |\times (-1) \\ x=-2y+4

The expression you would substitute for x is -2y+4. The answer is d.
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Step-by-step explanation:

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3 years ago
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lbvjy [14]

Answer:

a. Types of computer software used in a database management system. =Qualitative

b. Life-lengths of laser printers =Quantitative

c. Brands of calculators used by 100 engineering students on campus =Qualitative

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Step-by-step explanation:

Data is described as quantitative when it deals with numeric values whereas qualitative data is categorical in nature. Quantitative data tells us how much, how many, or the frequency of occurrence of certain variables. Qualitative data provides answers to the what, why, which, and where questions.

1. Types of computer software are not numeric variables as they answer the 'what' question.

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8 0
4 years ago
22. Find the balance in an account with $900 earning 6.5% compounded<br> quarterly after 4 years
Helen [10]

Answer:

$1,164.80

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, we need to change 6.5% into a decimal:

6.5% -> \frac{6.5}{100} -> 0.065

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=900(1+\frac{0.065}{4})^{4(4)}

A=1,164.80

The balance after 4 years will be $1,164.80

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4 years ago
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Wow, you came down when I said don't! courageous

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Step-by-step explanation:

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