Answer:
y = - 2, y = - 1
Step-by-step explanation:
y² + 3y + 2 = 0
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)
The factors are + 2 and + 1 , since
2 × 1 = 2 and 2 + 1 = 3 , then
(y + 2)(y + 1) = 0
Equate each factor to zero and solve for y
y + 2 = 0 ⇒ y = - 2
y + 1 = 0 ⇒ y = - 1
Answer:
Power property for both
Step-by-step explanation:
The power property of logarithms says that if there is an exponent in a logarithm, then that exponent can be pulled to the front.
In the first question, 5 is at the front of the logarithm because it has been pulled from 3. If you move the 5 back to the 3, it would be 3^5, which is 243.
In the second question, 2 is at the front of the logarithm as it has been pulled from the 9. If you move the 2 back to the 9, it would be 9^2, or 81.
Example:
log10^2 would be equal to 2log10.
Alicia had - $11.00 in her checking account. She did a few chores and made $44.50. She decided to pay for her and a friend to go to the movies and each ticket costs $6.25. How much money does she have left in her account?
There are 30 students in Mrs.
Woodward’s class and 15 of the class has their own cell phone. Of this group of students, 12 of them
are allowed to use social media. How many of the students have a cell phone and can use social media?
There are two up there
The system of equations 6x+4y=14 and 9x+6y=c are linear equations
The value of c that makes the system have infinitely many solutions is 21
<h3>How to determine the value of c?</h3>
The system of equations are given as:
6x+4y=14
9x+6y=c
Divide through the second equation by 3
3x + 2y = c/3
Multiply through by 2
6x + 4y = 2c/3
Subtract the first equation from the above equation
6x - 6x + 4y - 4y = 2c/3 - 14
Evaluate the differences
2c/3 - 14 = 0
Add 14 to both sides
2c/3 = 14
Multiply by 3/2
c = 21
Hence, the value of c that makes the system have infinitely many solutions is 21
Read more about system of equations at:
brainly.com/question/14323743
