All categories

2 years ago

Which of the following could be an equation of the form y=-x^3+ax^2+bx+c for some real numbers a,b,?

Mathematics

1 answer:

qwelly [4]2 years ago

6 0

Answer:

Bottom left graph

Step-by-step explanation:

Given function:

y = -x^3 + ax^2 + bx + c

This is a third degree function with negative leading coefficient.

This is therefore decreasing function and can have one local maximum and one local minimum.

From the given graphs we can see only bottom left one can be a matching one.

You might be interested in

Solve by completing the square. x^2 + 4x – 1= 0

NNADVOKAT [17]

Answer:

x = -2 ± sqrt(5)

Step-by-step explanation:

x^2 + 4x – 1= 0

Add 1 to each side

x^2 + 4x – 1+1= 0+1

x^2 +4x = 1

Take the coefficient of x

Divide by 2

4/2 =2

Square it

2^2=4

Add it to each side

x^2 +4x+4=1+4

(x+2)^2 = 5

Take the square root of each side

sqrt((x+2)^2 )=± sqrt(5)

x+2 = ± sqrt(5)

Subtract 2 from each side

x+2-2 = -2 ± sqrt(5)

x = -2 ± sqrt(5)

8 0

3 years ago

The circumference of a circular field is 200.96 meters. What is the diameter of the field? Use 3.14.

artcher [175]

Answer:

1262.0288

Step-by-step explanation:

2×3.14×200.96

3 0

2 years ago

2/6+5/6 as a whole number

Dvinal [7]

Answer: 2/6+5/6 + 1.167

4 0

2 years ago

Read 2 more answers

Order the following in descending order -3/4, 1/8, -0.735, 7/8, 1/80, 0.056

Vilka [71]

If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.

5 0

3 years ago

Which expression equals 6x − 5y + 2 − 8x + 3( y + 5)? A) 3x − 2y + 17 B) −3x + 2y + 17 C) −2x − 2y + 17 D) −2x − 2y − 17

inysia [295]

Answer:

C) −2x − 2y + 17

Step-by-step explanation (PEMDAS):

First, we do 3 (y + 5) because of the parenthesis:

6x − 5y + 2 − 8x + 3y + 15

Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we combine like terms. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right

6x − 5y + 2 − 8x + 3y + 15

−2x − 5y + 2 + 3y + 15

−2x − 2y + 2 + 15

−2x − 2y + 17.

8 0

3 years ago