Answer:
1). 
2). 
Step-by-step explanation:
In this question we have to write the fractions in the factored form.
Rational expressions are 
and 
.
1).
Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
= (x + 3)(x - 4)
Therefore.
2).
Factored form of the denominator (x² - 16) = (x - 4)(x + 4)
[Since (a²- b²) = (a - b)(a + b)]
Therefore,
<h2>
Answer:</h2><h2>
The correct option to the given question is J</h2>
Step-by-step explanation:
Real numbers are classified into two types,
(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number
(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.
Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.
Real numbers are formed by the union of rational and irrational numbers.
Answer:
The certificate will be worth $5,559.92 on Ruth's 19th birthday.
Step-by-step explanation:
The compound interest formula is given by:
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:
So
The certificate will be worth $5,559.92 on Ruth's 19th birthday.
Answer:
your answer should be 37:7
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 777 and 147 is 21
Divide both terms by the GCF, 21:
777 ÷ 21 = 37
147 ÷ 21 = 7
The ratio 777 : 147 can be reduced to lowest terms by dividing both terms by the GCF = 21 :
777 : 147 = 37 : 7
Therefore:
777 : 147 = 37 : 7
