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Leno4ka [110]
2 years ago
5

Write the quadratic equation whose roots are 5 and 1, and whose leading coefficient is 5

Mathematics
1 answer:
zepelin [54]2 years ago
3 0

Answer: the equation is

5x^2 -30x - 25

Step-by-step explanation:

A quadratic equation is one in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where c is a constant and a is the leading coefficient

Assuming we want to write the quadratic equation in x, from the information given, the given roots are 5 and 1 and the leading coefficient is 5. We will just multiply the expression by the leading coefficient.

Therefore, the linear factors of the quadratic will be (x-5) and (x-1)

With the leading coefficient as 5, the equation becomes

5(x-5)(x-1)

= 5(x^2 - x - 5x + 5)

= 5(x^2 - 6x + 5)

= 5x^2 -30x - 25

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(4x^2-2x-4)(2x+4) what is<br> the product of the polynomials below?
tatiyna

Answer:

8x³ + 12x² - 16x - 16

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property

Step-by-step explanation:

<u>Step 1: Define expression</u>

(4x² - 2x - 4)(2x + 4)

<u>Step 2: Simplify</u>

  1. Expand:                                       8x³ - 4x² - 8x + 16x² - 8x - 16
  2. Combine like terms (x²):             8x³ + 12x² - 8x - 8x - 16
  3. Combine like terms (x):              8x³ + 12x² - 16x - 16
7 0
3 years ago
Solve the system of equations.
Alenkasestr [34]

Step-by-step explanation:

<u>Step 1:  Substitute x from the second equation into the second one</u>

2x - 9y = 14

2(-6y + 7) - 9y = 14

(2 * -6y) + (2 * 7) - 9y = 14

-12y + 14 - 9y = 14

-21y +14 - 14 = 14 - 14

-21y/-21 = 0 / -21

y = 0

<u>Step 2:  Substitute y into the second equation</u>

x = -6y + 7

x = -6(0) + 7

x = 0 + 7

x = 7

Answer:  x = 7, y = 0

4 0
3 years ago
Read 2 more answers
William is going on vacation and taking his dog Pickles along. Pickles eats 3 cups of Hungry
prohojiy [21]

Answer:

5 days

Step-by-step explanation:

He eats 3 cups a day and its a 15 cup bag,

15 divided by 3 equals 5.

So he can feed Pickles for 5 days from the bag.

8 0
2 years ago
Does anyone know why x is normally used for an unknown number?
jeka94

Then you are able to substitute in X and it can have a infinite number of values catered to the question.

7 0
3 years ago
Can someone help me pls
Vlada [557]

Answer:

The angle will be 130 degrees

Step-by-step explanation:

50 at the center translates to 50 at the outer rim.

this means it will be 310-50 divided by 2

260 divided by 2 equals 130

3 0
2 years ago
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