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Svetlanka [38]
3 years ago
10

What’s the inverse function of f(x)=1/2x+7?

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

f ^{ - 1} (y) =  \frac{y + 3}{2}

Step-by-step explanation:

put y for f(x)

y =  \frac{1}{2} x - 3

y + 3 =  \frac{1}{2} x

\frac{y + 3}{2}  = x

x =  \frac{y + 3}{2}

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Write 0.46 as a fraction in simplest form
butalik [34]
Here's how to convert 0.46 to a fraction...

There is not much that can be done to figure out how to write 0.46 as a fraction, except to literally use what the decimal portion of your number, the .46, means.

Since there are 2 digits in 46, the very last digit is the "100th" decimal place.

So we can just say that .46 is the same as 46/100. The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 2.

Why divide by 2? 2 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 46 and 100.
So, this fraction reduced to lowest terms is 23/50

So your final answer is: 0.46 can be written as the fraction 23/50

5 0
4 years ago
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Which value must be added to the expression x2 + x to make it a perfect-square trinomial?
ziro4ka [17]
X² + x + ...m

x² + x + 1/4
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4 years ago
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a bathtub is filled with 38 1/3 gallons of water. if 2 3/5 gallons splash out, how much water is left in the tub?
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Answer:

3/5^3

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Step-by-step explanation:

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Calculator follows well-known rules for order of operations. Most common mnemonics for remembering this order of operations are:

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GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

Be careful, always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

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