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kompoz [17]
3 years ago
5

Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

     = 2(x^2 -2x+4x-8)

     = 2(x^2 +2x-8)

     = 2x^2 +4x-16

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stiks02 [169]

Answer:

75%

Step-by-step explanation:

6 0
3 years ago
Solve the systems of equations 6x+3y=9 2x+3y=1
patriot [66]
Solve by elimination.
The goal is to cancel out one of the variables in order to easily solve for the other variable.

Do this by changing the equations so that the coefficients of either x or y add up to 0.

Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0

Multiply 2nd equation by -1.

6x +3y = 9
-2x -3y = -1
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4x +0y = 8

Solve for x
4x = 8
x = 8/4 = 2

Plug x=2 back into one of original equations to find y.
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Therefore solution is (2,-1)
7 0
3 years ago
a woman spent two thirds of her money. she lost two thirds of the remiander and then had $4(aus money) left. how much money did
Dima020 [189]

Answer:

<h3>2/3 lost is 1/3 kept</h3>

<h3>2/3 of the 1/3 kept is 2/9 lost</h3>

  • 1/3 x - 2/9 x = 4

  • 3/9 x - 2/9 x = 4

  • 1/9 x = 4

  • x = 36

<h3>First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.</h3>

  • Hence she started with $36 .

Step-by-step explanation:

<h2>Hope this helps you !! </h2>

6 0
3 years ago
Is 1.73205 rational?
Assoli18 [71]

Answer:

No, it is not.

Step-by-step explanation:

It can not be turned into a fraction and isn't repeating with the same number.

6 0
3 years ago
The perimeter of a triangle is 12in. After a dilation, the perimeter is now 60in. What is the scale factor?
LenaWriter [7]

Answer:

scale factor = 5

Step-by-step explanation:

60/12 = 5!!

super easy:)

6 0
3 years ago
Read 2 more answers
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