Answer:
1. x = ±9
2. 
3. 12 and -12.
4. Antoine is incorrect. There exists two solutions x=5 and x= -5.
Step-by-step explanation:
According to the questions,
Problem 1. 
i.e. 
i.e. x = ±9.
Problem 2. 
i.e. 
i.e. 
i.e.
Problem 3. [tex]f(x)=x^{2}-144[tex]
To find the roots, we take, [tex]x^{2}-144=0[tex] i.e. [tex]x^{2}=144[tex] i.e. x = ±12.
Thus, the options are 12 and -12.
Problem 4. We have [tex]f(x)=x^{2}+25[tex]
For the roots, we take, [tex]x^{2}+25=0[tex] i.e. [tex]x^{2}=25[tex] i.e. x = ±5.
Thus, Antoine is not correct and two solutions namely x=5 and x= -5 exists.
Answer:
9.85 units
Step-by-step explanation:
^ rounded to the nearest hundreth
using the distance formula
Answer:
The Answer: x^2 + x / 15 - 2 / 15
Answer:
$1,085
Step-by-step explanation:
Data provided in the question:
Amount inherited and invested i.e principle = $31,000
Annual return for Mark on savings account = 2.9% = 0.029
Annual return for Charles on CD = 6.4% = 0.064
Now,
The Interest earned by Mark in 1 year = principle × Rate × Time
= $31,000 × 0.029 × 1
= $899
The Interest earned by Charles in 1 year = principle × Rate × Time
= $31,000 × 0.064 × 1
= $1,984
Therefore,
More Money that Charles have than Mark = $1,984 - $899
= $1,085
Make the numbers in numerical order, then subtract the greatest number by the least
