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pogonyaev
3 years ago
10

Dividing Mixed fractions

Mathematics
1 answer:
Komok [63]3 years ago
6 0
First you would make the mixed fractions into improper fraction by multiplying the denominator and the whole number, then adding the numerator. Then you would flip the second fraction and multiply. 
Ex. 1 1/2 ÷1 1/2
1st. 3/2÷3/2
2nd: 3/2×2/3
3rd 3/2x2/3=1
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If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)? A. –6
anyanavicka [17]

Answer:

-6i

Step-by-step explanation:

Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.

If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.

x + 8 = 0

x = -8

x - 1 = 0

x = 1

x^2 + 36 = 0

x^2 = -36 ... take the square root of both sides to get x alone

x = √-36 ... square root of an imaginary number produces the usual square root and an "i"

x = ±6i

6 0
2 years ago
Read 2 more answers
Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer
Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation 16x^4 - 24x^3 +9x^2 =0

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation 16x^4 - 24x^3 +9x^2 =0

x^2(16x^2-24x+9)=0

Either x^2=0 or 16x^2-24x+9=0

When x^2=0

x=0

When 16x^2-24x+9=0

Solve by quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}

x=\frac{24\pm\sqrt{0}}{32}

x=\frac{24}{32}

x=\frac{3}{4}

x=0.75

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0
3 years ago
Write the expression 53.7124 x 10^{3} as a single number
mars1129 [50]

Answer:

53712.4

Explanation:

\sf\rightarrow  53.7124\:x\:10^3

  • 10³ = 1000

\sf\rightarrow  53.7124\:x\:1000

\sf\rightarrow  53712.4

6 0
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What’s the Y and X Intercept <br> 5x+10y=10
vfiekz [6]

Answer:

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Step-by-step explanation:

hope this helps

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