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loris [4]
3 years ago
12

Which shows -3.72 as a rational number in the form abab?

Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

-3.72 is rational because it ends at the hundredths place

Step-by-step explanation:

Rational. A rational number either terminates at a point or repeats in a pattern forever.

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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
3 years ago
Read 2 more answers
What is the area of the trapezoid ​
Travka [436]

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

8 0
3 years ago
What is the standard deviation of the data set given below?<br> 5,7,9,11,13
Leya [2.2K]

Answer:

3.16

Step-by-step explanation:

3 0
3 years ago
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How do you increase 160 by 4%
vfiekz [6]

Step-by-step explanation:

160 + Percentage increase =

160 + (4% × 160) =

160 + 4% × 160 =

104 ÷ 100 × 160 =

104 × 160 ÷ 100 =

8 0
3 years ago
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Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a
wolverine [178]

Answer:

When Jeff travels more than 20 miles

Step-by-step explanation:

Let 'x' be the number of miles traveled by Jeff.

In order for the national car company to be less expensive, then the following condition must be met:

12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2

This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.

8 0
3 years ago
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