Evaluate the expression when m= 2. m2 - 8m -3
2 answers:
Answer:
Step-by-step explanation:
Given, m = 2
plug the value of m
Evaluate the power : 2²
Multiply the numbers: 8 and 2
The positive and negative integers are always subtracted but posses the sign of the bigger integer :
The negative integers are always added but posses the negative ( - ) sign
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- This is the general formula and the period is 2π/B
Now our given function
On comparing we get
- A=8
- B=5π
- C=3π/2
- D=-9
Period:-
Answer:
41 years old.
Step-by-step explanation:
Let x represent age of younger child.
We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be .
The sum of the squares of their ages is 97. We can represent this information in an equation as:
Let us solve for x.
Divide both sides by 2:
Since age cannot be negative, therefore, age of younger child is 4 years.
Age of older child would be
Therefore, the age of older child would be 9 years.
We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.
Square of 4:
Square of 9: .
Square of mother's age:
To find mother's age, we need to take positive square root of 1681 as:
Therefore, the mother is 41 years old.