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mash [69]
3 years ago
13

–0.4|x + 5.75| – 4.3 = –8.7

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0
5.25, -16.75
I think it’s wrong
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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

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3 years ago
For each equation, determine whether it represents a direct variation, an inverse variation, or neither. Find the constant of va
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3 years ago
Find the midpoint between −18 and 52.
Mama L [17]
Finding the midpoint between two points on a line involves three steps:

1. Find the distance between the two points
2. Find half of that distance
3. Either add that half to the lowest point, or subtract it from the highest point.

To find the distance between 52 and -18, we can take the absolute value of their difference. The reason we take the absolute value is to force the sign to be positive, since distances can never be negative. -18 - 52 = -70, and |-70| = 70.

Second, we find half of that distance, which in this case would be 70/2 = 35.

Finally, we add that value to -18 to find a midpoint of -18 + 35 = 17.
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3 years ago
2/3 - 1/6 finding the common denominator show me how to do it
Aleksandr [31]
2/3-1/6=4/6-1/6=3/6 simplified is 1/2
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58,365 rounded to the nearest thousand
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58,365 rounded to the nearest thousand is 58,000
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