Answer:
3/4
Step-by-step explanation:
4x+6 = 8x+3
Subtract 4x from both sides to get x on the same side
6 = 4x+3
Subtract 3 from both sides:
3 = 4x
Divide by 4:
x = 3/4
Step-by-step explanation:
5.14×10^6 + 7.2×10^5
51.4×10^5 + 7.2×10^5
58.6 ×10⁵
=5.86× 10⁶
Answer: 78 problems
Step-by-step explanation:
Let x = the total number of problems that Joe started with. Joe finished half of his homework questions at school. This means that he finished 1/2 × x = x/2 of the home work at school. What he has left is x - x/2 = x/2.
He completed one-third after practice. This means he completed 1/3 × x = x/3 after practice The number of problems left altogether would be total number of problems - the the sum of the amount he finished at school and the amount he completed after practice. It would be x -(x/2 + x /3) = x - 5x/6 = x/6
If he has 13 to more to finish, that means
x/6 = 13
x = 13×6 = 78 minutes
Answer:

Step-by-step explanation:
<u>Given polynomial is:</u>

![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
First factor is (x-1)
Let x - 1 = 0 => x = 1
Putting this in the above polynomial

Given that it's remainder is 3


Subtracting 7 to both sides

<h2>a + b = -4 -------------------------- (1)</h2>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Second Factor is 2x + 1
Let 2x + 1 = 0 => x = - 1 / 2
Putting in the above polynomial

The remainder is 6

<h2>-a + 2b = 28 --------------------------------(2)</h2>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Adding both equations
a + b - a + 2b = -4 + 28
3b = 24
Dividing both sides by 3
b = 8
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Putting b = 8 in Equation (1)
a + 8 = -4
a = - 4 - 8
a = -12
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Answer: x = 4
Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.