Answer:
3 1/16
Step-by-step explanation:
1) Evaluate 8×6; 3 (3/6*8) = (3/48)
2)Simplify 3/48 into 1/16
3) Answer is: 3 1/16
Answer:
k= -6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
2.84×10²
Step-by-step explanation:
0.0284×10⁴
Move the decimal point 4 places to the right.
284
Now write in scientific notation by moving the decimal point 2 places to the left, behind the 2.
2.84×10²
Answer:
14 % you just gotta count the green boxes and make it a percentage
Part A:

The first step of completing the square is writing the expression

as

which expands to

.
We have the first two terms exactly the same with the function we start with:

and

but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression

The function in completing the square form is

Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero


It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function

can either make U-shape or ∩-shape depends on the value of the constant

that goes with

. When

is (+), the curve is U-shape. When

(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is

This function is shown in the diagram below