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sveticcg [70]
3 years ago
15

Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di

splays the x-intercepts of the parabola as constants or coefficients?
Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

y=(x-4)(x-2)

Step-by-step explanation:

Consider the given equation

y=x^2-6x+8

Factor form of a parabola: It displays the x-intercepts.

y=a(x-p)(x-q)          .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

y=x^2-4x-2x+8

y=x(x-4)-2(x-4)

y=(x-4)(x-2)         .... (2)

On comparing (1) and (2) we get

p=4,q=2

It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

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Answer:

\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}

Plug in <em>a</em> for 2, <em>b</em> for 3, and <em>c</em> for -7 and you should find your roots.

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3 years ago
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D. 75

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2 years ago
Marco has a balance of -$19 in his checking account. He makes a trip to the bank to deposit $368. The next day he purchases a ne
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7 0
2 years ago
A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to
tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

 

From the problem statement, we can formulate the following equations:

1. y + z = 30                                         ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120                      ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90                        ---> each animal has 2 eyes only

 

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

 

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0
3 years ago
PLEASE HELP BEFORE 10:00AM EST PLEASE!!!!!!!!! PLEASE SHOW WORK IF YOU CAN!!
Tju [1.3M]
1. answer is $246.68 (rounded) because 230 x 1.0725 (multiplier) is $246.675.
2. answer is B
3. answer is A rounded because you will get (51.5962...)
4. answer is A because when divide 40 by 42.59 you get 1.06475 (but that is the multiplier) so the answer is A
5. answer is A because 12000x 1.04 is 12480 and 12480-12000=480
6.I guess the answer is D but the total he earns is $2440 but from the one car he earns $2240 +$200 (which he earns anyway)
7.answer is A $9.16
8. the answer is B
(J-)Hope this helps
3 0
3 years ago
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