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Nikolay [14]
3 years ago
9

How many eighths are in 5 5/8? use your answer to rewrite 5 5/8 in the form /8

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0
45 eights in 5 and 5/8. therefor, answer would be 45/8
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In figure if AB is parrallel to CD,
lara31 [8.8K]

Answer:

Yes

Step-by-step explanation:

They are parallel lines basically, ingnore the measurements and the traingle, they were put there to confuse you.

Hope this helps

Never30

7 0
3 years ago
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
2 years ago
Solve each equation (x+8)(x-2)=-9
Nesterboy [21]
X=1, x=-7 would be the correct answer.
5 0
3 years ago
Read 2 more answers
Jane needs $20 to buy her radio. She has saved $15.
KonstantinChe [14]

Answer:

the answer is d

Step-by-step explanation:

\frac{15}{20}  \times 100 = 75

7 0
2 years ago
Read 2 more answers
The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measure
nasty-shy [4]

Present area = 120 * 80 = 9600 ft^2 so the new area will be 9600 + 4400 = 14000

So if increase in length = x we have

(x + 120)(x + 80) = 14,000

x^2 + 200x + 9600 - 14000 = 0

x^2 + 200x - 4400 = 0

x = 20 feet answer

4 0
3 years ago
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