3k+10=2k-21
move 2k to the other side
sign changes from +2k to -2k
3k-2k+10=2k-2k-21( combine like terms)
3k-2k+10= -21
k+10=-21
move +10 to the other side
k+10-10= -21-10
k= -21-10
answer:
k= -31
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
<u> 0 -1 -1 -1 </u>
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
Step-by-step explanation:
Angle:2x+30+3x=180
Angle:2x+b+2b=180( Being in straight line)
Angle:30+3x+a=180
Answer:
1. False
2. True
3. True
Step-by-step explanation:
Remark
The point of this question is to encourage you to make use of your calculator. Every calculator can find square roots as far as I know.
Givens
= 8.367
= 8.49
= 8.77
One
Point A is roughly 8.15. The square root of 70 is over 8.3 So square root 70 is to the right of point A. False.
Two
Square root 72 is 8.49. B is 8.3 and C is 8.6. The statement is True
Three
sqrt(77) = 8.77. Point D is 8.75. The answer is true, but I wouldn't want to bet money on it. The difference is slightly less than 2 100s.
The total amount of interest earned each year will be
5.2% × $1,500,000 = $78,000
_____
We would need to know more about the beneficiaries (their number and the way they might split the proceeds) and how they might use the balance in the account (whether interest only, or interest and principal are withdrawn) before we could answer the question asked.
