Answer:Although the Quadratic Formula always works as a strategy to solve quadratic equations, for many problems it is not the most efficient method. Sometimes it is faster to factor or complete the square or even just "out-think" the problem. For each equation below, choose the method you think is most efficient to solve the equation and explain your reason. Note that you do not actually need to solve the equation. a. x2+7x−8=0x
2
+7x−8=0, b. (x+2)2=49(x+2)
2
=49, c. 5x2−x−7=05x
2
−x−7=0, d. x2+4x=−1x
2
+4x=−1.
Answer: y=3x-7
Step-by-step explanation:
First you have to get the equation in slope intercept form by moving x over then dividing by -1 because y cannot be negative
Then since you're trying to find the line that is parallel you use the same slope which is 3x
You then plug in the points which is 2=3(3) + b for you are trying to find teh y intercept
You then solve as normal and get y=3x-7
I am pretty sure this is correct
Answer:
0.2h
Step-by-step explanation:
13/78 = 0.16666666666667
Rounded to the nearest tenth is the 0.2
Answer:
Step-by-step explanation:
1 inequality will model the number of hours he spends on the carvings per week and the other inequality will model the amount of money he will spend on materials per week.
He spends 3 hours on type X and 2 hours on type Y, so
3X + 2Y models the hours he spends on each. If he can spend up to 36 hours per week, the inequality sign is less than or equal to. Therefore, the inequality for the number of hours he can spend per week on type X and Y carvings is
3X + 2Y ≤ 36
Now for the money inequality.
He spends $4 for type X carvings and $5 for type Y carvings, so 4X + 5Y models that part of the inequality. If he can spend up to $100 per week, the inequality sign is less than or equal to here as well.
4X + 5Y ≤ 100
Those are the 2 inequalities that make up the system.