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zhuklara [117]
3 years ago
12

Length of a sunflower seed

Mathematics
2 answers:
const2013 [10]3 years ago
6 0
<span>9·52 mm is the correct answer</span>
TiliK225 [7]3 years ago
3 0
"6.2% m.c.d.b., the average length, width, thickness and unit mass of the seed were 9·52 mm, 5·12 mm, 3·27 mm and 0·049 g respectively."
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The change in water vapor in a cloud is modeled by a polynomial function, C(x). C(x) = x^3+ 5x^2+3x+30 Describe how to find the
kari74 [83]

Answer:

Suppose the equation that describes the change in water vapor in a cloud (y) with respect to temperature (x): C(x) = x³ - 4x² - 7x + 10

You find the x-intercepts of the cubic equation by finding the roots. Let y be zero:

x³ - 4x² - 7x + 10 = 0

Now, find possible factors of the constant term in the equation: 10. These could be 1, 2, 5, and 10. Suppose we choose 1. We substitute x=1. If the answer is zero, then x=1 is one of the roots.

(1)³ - 4(1)² - 7(1) + 10 = 0

Hence, x=1 or x-1 = 0 is one of the roots. We use this to manipulate the rest of the terms in the original equation, such that you can factor out (x-1). Substitute -x² - 3x² to -4x³ because they are just equal. Same is true for +3x - 10x for -7x:

x³ -x² - 3x²+3x - 10x + 10 = 0

Factor out like terms such that they have a common factor of (x-1) as much as possible.

x³ -x² = x²(x-1)

- 3x²+3x = -3x(x-1)

- 10x + 10 = -10(x-1)

The factored equation is:

x²(x-1)-3x(x-1)-10(x-1) = 0

Factor out (x-1):

(x-1)(x²-3x-10) = 0

Now, we have the quadratic equation left to be solved:x²-3x-10

Use the quadratic formula to find the roots:

x = [-b +/- √(b²-4ac)]/2a,

The a, b and c coefficients are based on the general form of the quadratic equation: ax² + bx + c. Hence, a=1, b=-3 and c=-10. Substituting the values:

x = [-(-3) +/- √((-3)²-4(1)(-10))]/2(1)

x = 5, -2

Therefore, the roots of the cubic equations are x = 1, x = 5 and x =- 2. These are the x-intercepts of the equation. At temperatures °C, 5°C and -2°C, there is no change in water vapor in a cloud. The graph is shown in the attached picture

Step-by-step explanation:

7 0
3 years ago
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
lapo4ka [179]

9514 1404 393

Answer:

  65.52 square feet

Step-by-step explanation:

The area of a rhombus is half the product of the diagonals.

  A = (1/2)ab

  A = (1/2)(12.6 ft)(10.4 ft) = 65.52 ft²

The area of the farm is 65.52 square feet.

6 0
3 years ago
2x+7x+x in simplest form
sergeinik [125]

Answer:

9x + x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Click the pair of numbers that is relatively prime.
7nadin3 [17]
I believe the answer is D. 25 and 27

Hope this helps :)
5 0
3 years ago
The sum of four consecutive odd numbers is 40 what is the greatest of the four numbers
TEA [102]

Answer:

13

Step-by-step explanation:

First find the average the numbers (40 / 4 = 10)

2 are more and 2 are less

7, 9, 11, 13

7 0
3 years ago
Read 2 more answers
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