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3 years ago

The relationship between the zeroes and coefficients of the quadratic polynomial ax2+bx+c is

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

Below

Step-by-step explanation:

Let x and x' be the zeroes of the quadratic polynomial ax^2 +bx + c

● xx'= -c/a

● x + x' = -b/a

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A wheel for a game is to be made by dividing a circular disk into six equal pie-shaped wedges and numbering them from 1 to 6. in

arlik [135]

Answer:

720

Step-by-step explanation:

For the first wedge, you have 6 numbers to choose from .

For the second wedge , you have 5 numbers to choose from .

For the 3rd wedge , you have 4 numbers to choose from .

For the 4th wedge , you have 3 numbers to choose from .

For the 5th wedge , you have 2 numbers to choose from .

For the 6th wedge , you have 1 number to choose from .

Conclusion: this numbering can be done in:

6×5×4×3×2×1 = 720

Note :

Generally ,we write 6×5×4×3×2×1 as 6! and we read it 6 factorial.

6 0

2 years ago

The product of $7d^2-3d+g$ and $3d^2+hd-8$ is $21d^4-44d^3-35d^2+14d-16$. What is $g+h$?

galina1969 [7]

<h2>Answer:</h2><h2>g = 2 and h = -5</h2>

Step-by-step explanation:

To find the product with unknown values of variables, multiply the terms and equate the value to the given product.

$(7d^{2} - 3d + g)(3d^{2} + hd - 8)$ = $21d^{4} + 7hd^{3} - 56d^{2} - 9d^{3} - 3hd^{2} + 24d + 3gd^{2} + ghd - 8g$

$(7d^{2} - 3d + g)(3d^{2} + hd - 8)$ = $21d^{4} + (7h-9) d^{3} + (3g-56-3h)d^{2} + (24+gh)d -8g$ ... (1)

Comparing eq(1) to the product given in question,

-8g = -1

g = 2

24 + gh = 14, sub g =2,

24 + 2h = 14

h = -5

3 0

3 years ago

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

$x=37\ packages\ of\ Twinkies$

7 0

3 years ago

Find the area of this circle. Use 3.14 to approximate Pi

bekas [8.4K]

$\pi {r}^{2} \\ \: \: \: \: \: \: = 3.14 \times 13 {cm}^{2} \\ = 530.66 {cm}^{2}$

6 0

2 years ago

Five-digit locker combinations are assigned using the digits 1–9. In how many ways can the combinations be formed if no digit ca

Orlov [11]

Answer:

15, 120

Step-by-step explanation:

9P4

.............................................................................................

4 0

3 years ago