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elixir [45]
3 years ago
7

47/8,5.852,5 17/20,4.71 What is this least to greatest.​

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

Step-by-step explanation:4.71, 47/8, 5 17/20, 5.852

47/8 , 5.852, 5 17/20,4.71

47/8 is 5.125

5 17/20=5.85

so it is 4.71, 47/8, 5 17/20, 5.852

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Determine if the equation has no solution,one solution, or infinite many solution.
Vladimir [108]

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x)​ becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

                                                                        -1 = 2 -12x, or

                                                                         -3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x)​ has ONE solution, which is x = 1/4

3 0
2 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
Simplify each of the following:<br> 2<br> 1. (3+4i ) + ( 19 - 5i)
ira [324]

I hope this helps you

(3+19)+(4i-5i)

22-i

6 0
3 years ago
Graph the image of rhombus EFGH after a reflection across the line x = 3
igomit [66]

Answer:  see image

<u>Step-by-step explanation:</u>

Draw line x = 3.  Count how many units each point is away from line x = 3. Plot the new point the same number of units away from line x = 3 but in the opposite direction.

Point G is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

Point F is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point E is 7 units to the left of x = 3. The new point G' is 7 units to the right of x = 3.

Point H is 4 units to the left of x = 3. The new point G' is 4 units to the right of x = 3.

8 0
3 years ago
Whats the reciprocal of 1 8/11
Juliette [100K]

First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.

1 8/11 = 11/11 + 8/11 = 19/11

To find the reciprocal, flip the fraction.

The reciprocal of 19/11 is 11/19

hope this helps

8 0
3 years ago
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