Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33
mojhsa [17]
Answer:
y = x² − x + 3
Step-by-step explanation:
Quadratic equation is:
y = ax² + bx + c
Pick three points and plug in. I'll choose (-2, 9), (-1, 5), and (0, 3).
9 = a(-2)² + b(-2) + c
5 = a(-1)² + b(-1) + c
3 = a(0)² + b(0) + c
9 = 4a − 2b + c
5 = a − b + c
3 = c
We know c = 3, so substitute into the first two equations:
9 = 4a − 2b + 3
5 = a − b + 3
0 = 4a − 2b − 6
0 = a − b − 2
Solve by elimination or substitution.
b = a − 2
0 = 4a − 2(a − 2) − 6
0 = 4a − 2a + 4 − 6
0 = 2a − 2
a = 1
b = -1
Therefore:
y = x² − x + 3
5!3! means 5(factorial)3(factorial) factorial means to mutiply by everything down to 1...so for example 6! = 6x5x4x3x2x1 So 5!3! means 3) 5x4x3x2x1x3x2x1 ??
i dont know..
Answer:
A
Step-by-step explanation:
The '5' stretches it vertically by factor of 5 and the '10' shifts it UP 10 units
Answer:
(i) Yes
(ii) Yes
Step-by-step explanation:
We are given that
AB=AC
(i)D is the mid-point of BC
BD=DC
In triangle ADB and triangle ADC
AD=AD
Reason: Reflexive property
BD=DC
Reason:Given
AB=AC
Reason: Given
ADB
ADC
Reason:SSS postulate
Yes, triangle ADB is congruent to triangle ADC
(ii) Angle B=Angle C
Reason: CPCT
Yes , angle B=angle C
Answer:
x = 126°
Step-by-step explanation:
x + 54 = 180°
x + 54 - 54 = 180 - 54
x = 126°
