Answer:
1. h
2. k
3. d
4. j
5. m
6. n
7. a
8. l
9. e
10. c
11. f
12. i
13. g
14. b
Step-by-step explanation:
1. a quotient of two quantities -> h. fraction
2. a quotient that involves variables -> k. algebraic fraction
3. numbers that would result in division by zero -> d. exclusions
4. multiply the numerators and multiply the denominators for a new fraction -> j. multiplication of fractions
5. multiply by the reciprocal of the divisor -> m. division of fractions
6. the denominators must be the same -> n. addition of fractions
7. contains a fraction in the numerator, denominator, or with the denominator -> a. complex fractions
8. a new fraction resulting from the interchanging of the numerator and denominator -> l. reciprocal
9. the dividend of a fraction -> e. numerator
10. the divisor in a fraction -> c. denominator
11. the lowest common multiple of denominators -> f. lowest common denominator
12. a combination of integral and fractional expressions -> i. mixed expression
13. an equation that contains fractions -> g. fractional equation
14. a statement that two fractions are equal -> b. proportion
Answer:
3.60 was the tip; 27.60 was what Sam paid total
Step-by-step explanation:
24 x 0.15 = 3.6
Answer:
<h2>
x = 85° </h2>
Step-by-step explanation:
m∠ADC = 180° - 95° {a straight angle}
m∠ABC = 180° - x {a straight angle}
m∠ADC + m∠ABC = 180° {a quadrilateral inscribed in a circle}
180 - 95° + 180 - x = 180°
85° - x = 0
<u>x = 85° </u>
Step-by-step explanation:
We need to show whether
or
so we'll do either one of them,
we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).
we can also write it as:
now all we have to do is to make x the subject of the equation.
now we'll interchange the variables
this is the inverse of f(x)
and it does equal to g(x)
Hence, both functions are inverse of each other!
This can be shown graphically too:
we can see that both functions are reflections of each other about the line y=x.
