Answer:
(a, b, c) = (1, -4, 3)
Step-by-step explanation:
In vertex form, the equation is ...
... f(x) = a(x -2)² -1
This has a y-intercept of ...
... f(0) = a(0 -2)² -1 = 4a -1
We want that value to be 3, so we can find "a" as ...
... 4a -1 = 3 . . . . . set f(0) = 3
... 4a = 4 . . . . . . . add 1
... a = 1 . . . . . . . . divide by 4
Then ...
... f(x) = (x -2)² -1 = x² -4x +3
The coefficients are a=1, b=-4, c=3.
Answer:
C- table A and graph B
Step-by-step explanation:
BRAINIEST me pls
Have a nice day!
Answer:x=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants =
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
4000.00 x 2.0 = $80.00 per year x 2 years = $160.00 so 6 months would earn $40.00 taking it to the $200, so 2 yrs 6 mos.
Answer: x = 3. the length of side ST is 14.
Step-by-step explanation:
Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.
To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.
The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.
We then need to simplify the equation to x = 3.
This means the answer to 9 is x = 3.
For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.
This means the length of side ST is 14.