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slava [35]
2 years ago
7

The roots of a quadratic function are x = -3 and x = 2/3. Which of the following would be the constant term of the equation in s

tandard form?
A. -2
B. 6
C. 2
D. -6
Mathematics
1 answer:
Alla [95]2 years ago
7 0

Answer:

-2

Step-by-step explanation:

Since the roots are known and the function is a quadratic function, we can write down the function:

y = (x+3)(x-2/3) since when the roots are plugged in, the function gives 0.

Standard form means that the function has to be expanded:

y = (x+3)(x-2/3) = x^{2}+3x - 2x/3 - 3*2/3

y = x^{2}+ 7x/3 - 2

The constant term is -2.

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A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is t
irinina [24]

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

\frac{dA}{dx} = -2x^2 + 60x =

-4x + 60 = 0

-4x = -60

x = \frac{-60}{-4} = 15

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

8 0
3 years ago
Find the value of the expression 4*2-6+8*3+4
chubhunter [2.5K]

Multiple: 4 * 2 = 8

Subtract: 8 - 6 = 2

Multiple: 8 * 3 = 24

Add: 2 + 24 = 26

Add: 26 + 4 = 30.

4 0
3 years ago
If Anna gives Me half of her pumpkins and Coral half of whats left and she ends with 6 how many pumpkins did she start with?
Gwar [14]
X- the number of pumpkin she had initially
she gave you x/2
x-x/2=x/2
(x/2)/2=x/4(she gave Coral)
x/2-x/4=x/4
x/4=6
x=24
6 0
3 years ago
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Mkey [24]

Answer:

a = 6, b = -2, c = 3

Step-by-step explanation:

6x² - 2x + 3 = 0

a = 6, b = -2, c = 3

6 0
3 years ago
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Solve for x 7(3-x) = 8(4-2x)
Damm [24]

Answer:

  x = 11/9

Step-by-step explanation:

Eliminate parentheses, add 16x, subtract 21.

  7(3 -x) = 8(4 -2x) . . . . given

  21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property

  9x +21 = 32 . . . . . . . . add 16x

  9x = 11 . . . . . . . . . . . . subtract 21

  x = 11/9 . . . . . . . . . . . .divide by the coefficient of x

7 0
2 years ago
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