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1 year ago

The least value of the function x^2 + px + q is 3 and this occurs when x = - 2. find the values of p and q

Mathematics

1 answer:

Rasek [7]1 year ago

3 0

Answer:

Hello,

p=4

q=7

Step-by-step explanation:

The vertex of the parabola is (-2,3)

Equation of the parabola is k(x+2)²+3=x²+px+q

Let's identify the coefficients:

kx²+4kx+4k+3=x²+px+q

k=1

4*1=p

4*1+3=q

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Solve the system using submsitution<br> x+y=-10<br> y=5x+2

Nitella [24]

Answer:

x+y= -10

y=5x+2

solution

x+(5x+2)= -10

x+5x+2= -10

6x+2= -10

6x= -10-2

6x= -12

6x/6= -12/6

x= -2

while y=5x+2

y= 5(-2)+2

y= -10+2

y= -8

x= -2, y= -8

4 0

2 years ago

Please solve the question and give correct answer with explanation so that i can understand it

denis-greek [22]

Answer:

Step-by-step explanation:

Let the speed of the car is c and speed of the plane is p.

<h3>We are given:</h3>

The speed of the plane is 7 times the speed of the car

p = 7c

The distance traveled is

d = 315 km

The time difference to travel this same distance is 3 hours.

d = ts, where d- distance, t- time, s - speed

Find the time for car and plane and their difference.

t = d/s = 315/c

<h3 /><h3>Plane</h3>

t = d/s = 315/p = 315/(7c) = 35/c

<h3 /><h3>The difference</h3>

315/c - 45/c = 3

<u>Solve it for c:</u>

(315 - 45)/c = 3
270/c = 3
c = 270/3
c = 90 km/h

Now find the speed of plane:

p = 7c = 7*90 = 630 km/h

As we see, Jenny is right

6 0

1 year ago

What is the axis of symmetry of y =(x - 1)2 + 3

madreJ [45]

The axis of symetry, or A.o.S, intersects a parabola at its vertex. The answer is x=1

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2 years ago

Simplify this exponential expression:<br><br> (-49) 2/5

ioda

Answer:

I think it is 12 4/5

Step-by-step explanation:

hope this helps if not let me now

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1 year ago

[Grade 7 set 1]

Veseljchak [2.6K]

Step-by-step explanation:

No it would because you have to find the number for why and the two is the power so no it not going to be.

4 0

2 years ago

Read 2 more answers