Mathematics : asked on maxB0846
 15.11.2022

The point (-1, 3) is the turning point of the graph with equation y = x2 + ax + b, where a and b are integers.
Find the values of a and b.

. 1

Step-by-step answer

09.07.2023, solved by verified expert
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The turning point of a parabola is the vertex

Vertex form of a quadratic equation: The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48vertex = (-1, 3)

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

The point (-1, 3) is the turning point of the, №18010985, 15.11.2022 04:48

Therefore, a = 2 and b = 4

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Mathematics
Step-by-step answer
P Answered by Specialist

The turning point of a parabola is the vertex

Vertex form of a quadratic equation: \sf y=a(x-h)^2+k

(where (h, k) is the vertex and a is the coefficient of the variable x²)

Given:

\sf y=x^2+ax+bvertex = (-1, 3)

Therefore, a = 1

Substituting a = 1 and the given vertex into the equation:

\sf \implies y=1(x-(-1))^2+3

\sf \implies y=(x+1)^2+3

\sf \implies y=x^2+2x+1+3

\sf \implies y=x^2+2x+4

Therefore, a = 2 and b = 4

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics
Step-by-step answer
P Answered by PhD

We can put the numbers in ascending order-

36, 38, 39, 39, 40, 47, 48, 51

Range=max-min

          =51-36

          =15

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