First, simplify the parenthesis. You’ll get:
1/4(4z)+7=-z+1
Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1
Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6
Divide both sides by 2. You’ll get :
z=-3
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
Answer:
Quincy read 9 books.
Step-by-step explanation:
Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).
Answer:
6
Step-by-step explanation:
The x-axis of point A is 3, multiplied by the scale factor of 2 equals 6. Which means the x-axis of point A' would be 6.
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
