<h3>
Answer:</h3>
f(x) = -(x -2)² +3
<h3>
Step-by-step explanation:</h3>
We can fill in the vertex (h, k) values immediately in the vertex form ...
... f(x) = a(x -h)² +k
To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:
... -1 = a(0 -2)² +3
... -4 = 4a . . . . . . . . . subtract 3, simplify
... -1 = a . . . . . . . . . . . divide by 4
Now, we know the function is ...
... f(x) = -(x -2)² +3
In math (or English, for that matter), a question is never true or false. Only a statement can have such attributes.
If you make the statement "if A ate many sugar, A will get diabetes," in math it cannot be decided wheter it is true or false without additional information about the truth values of the statements "A ate many sugar" and "A will get diabetes".
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."
The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary
