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Free_Kalibri [48]
2 years ago
10

4x^3 -5x^2-23x+6 what is the distance to the nearest hundredth of a unit , between the two zeros that are closest to each other?

Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

2.25

Step-by-step explanation:

Using synthetic divison (work below)

I found factored it to equal the following:

(x+2)(x-.25)(x-3)

which means that the zeroes are

(-2,0) (.25,0) (3,0)

The distance between the first and second zero are closest and their distance is 2.25

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If y varies inversely with x and y = 6 when x = 3, then what is y when x = 2?
kow [346]
2 would most like be doubled and be 4 I think...
3 0
3 years ago
A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
VashaNatasha [74]

Answer:

width = 5 in

length = 5+4=9 in

height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

height = 2 \cdot width

height = 2w

Volume of box = length times width times height

V=(w+4)(w)(2w)

450=(w+4)(w)(2w)

450=2w^3+8w^2

2w^3+8w^2-450=0

\quad 2\left(w-5\right)\left(w^2+9w+45\right)=0

w-5=0

w=5

\quad\left(w^2+9w+45\right)=0, this gives two complex values

so width = 5

length = 5+4=9

height = 2(5)= 10

5 0
3 years ago
Calculate the length of the circumference of a circle with a diameter of 14cm (2dp)
kondaur [170]
C= 2 (pi) r

d= 14 cm

d= 2r 

r= 7 cm

c= 2 (pi) (7cm)
c= 43.98

hope that helps

3 0
3 years ago
Rate of change for 71, 62,53,44
Vladimir79 [104]

Answer:-9

Step-by-step explanation:

71-62=9

62-53=9

53-44=9

It is negative because the numbers are decreasing

3 0
3 years ago
George’s age is three times that of his brother. When you add George’s age to his brother’s, you get 24. How old is each brother
vivado [14]

Answer:

G=18

Step-by-step explanation:

George-G

1/3G+G=24

4/3G=24

3/4*4/3G=24*3/4

G=18

George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6

5 0
3 years ago
Read 2 more answers
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