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: She can fill about 15 3.5- fluid once jars.
Step-by-step explanation:
Given:
Quantity of red paint = 34.6 fluid ounces
Quantity of yellow paint = 18.6 fluid ounces
Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )
= (34.6+18.6) fluid ounces
= 53.2 fluid ounces
Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5
= 53.2÷3.5 = 15 (approx)
Hence, She can fill about 15 3.5- fluid once jars.
Answer:
0
Step-by-step explanation:
cos(60) = ½
sec(60) = 2
sin(30) = ½
cosec(30) = 2
sin(0) = 0
2 - 2 - 0 = 0
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
