A fraction x/y is a ratio between two numbers x and y.
The ratio is preserved if both x and y are scaled up or down by the same number n.
This means you can obtain any fraction equivalent to x/y by multiplying both x and y by n, i.e. (n*x)/(n*y).
Then we have 1/4 = (2*1)/(2*4) = 2/8, for example.
|–2x| = -6
=> 2x = 6
=> x = 3
and,
=> 2x = -6
=> x = -3.
Two points, one at negative 3 and one at 3.
Answer:
37.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Put the value where the variable is and do the arithmetic. It can save some steps to simplify the expression first.
35 -c³ +8 = 43 -c³
<u>c = 1</u>
43 - 1³ = 43 -1 = 42
<u>c = 2</u>
43 - 2³ = 43 -8 = 35
<u>c = 3</u>
43 -3³ = 43 -27 = 16
The values that go in the blanks are 42, 35, 16.
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<em>Additional comment</em>
It does not take long to learn how to use a spreadsheet for evaluating the same formula with a number of different values of the variable(s). Graphing calculators can do this, too. It is always appropriate to use the right tool for the job.
Familiarity with multiplication and addition facts is a very good place to start. It is also useful to memorize the squares and cubes of small integers. The latter are needed here.