Question 1 Simplify the following expression: (5x2 + 3x + 4) − (2x2 − 6x + 3). If the final answer is written in the form Ax2 + Bx + C, what is the value of B?
Solution:
5x^2 + 3x + 4 - 2x^2 + 6x - 3 = 3x^2 + 9x + 1
Then, B = 9 Hope this helped=)
Simplifying
1.5d + 3.25 = 1 + 2.25d
Reorder the terms:
3.25 + 1.5d = 1 + 2.25d
Solving
3.25 + 1.5d = 1 + 2.25d
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-2.25d' to each side of the equation.
3.25 + 1.5d + -2.25d = 1 + 2.25d + -2.25d
Combine like terms: 1.5d + -2.25d = -0.75d
3.25 + -0.75d = 1 + 2.25d + -2.25d
Combine like terms: 2.25d + -2.25d = 0.00
3.25 + -0.75d = 1 + 0.00
3.25 + -0.75d = 1
Add '-3.25' to each side of the equation.
3.25 + -3.25 + -0.75d = 1 + -3.25
Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.75d = 1 + -3.25
-0.75d = 1 + -3.25
Combine like terms: 1 + -3.25 = -2.25
-0.75d = -2.25
Divide each side by '-0.75'.
d = 3
Simplifying
d = 3
If each week the tank decreased by 3 inches, in 2 weeks it would be 6 in, 3 weeks is 9 in, 4 weeks would be 12 in, and 5 weeks would be 15 in.
I think it’s 7 as the y coordinate stays the same so it’s the difference between -4 and 3 which is 7 :)
Answer:
8.3 minutes
Step-by-step explanation:
93,000,000 m/186,000 m/s = 500 s
500/60 = 8.333333