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Free_Kalibri [48]
3 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]3 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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The square root of 105 would lie between which two consecutive integers?
12345 [234]

Answer:

the square root of 105 lies between 10 and 11

Step-by-step explanation:

Which perfect squares "box" 105 in?  10^2 = 100 and 11^2 = 121.

The square roots of 100 and 121 are 10 and 11.  

Thus, the square root of 105 lies between 10 and 11.

8 0
3 years ago
The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the tw
77julia77 [94]

Answer:

one number x= 16

other number y = 4

7 0
3 years ago
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?​
ioda

To do this, we first want to see how many participants there are in total by adding both males and females.

99+121=220

Now we know that there were 220 total participants, but only 121 were females.

This allows us to set up the fraction 121/220= the percent female.

\frac{121}{220} =0.55

or 55%

8 0
3 years ago
The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
Find the area of the shape shown<br> below.
steposvetlana [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

a = lw \\ a = 4 \times 8 = 32

Then, find the area of the triangle:

a =  \frac{bh}{2}  \\ a =  \frac{2 \times 4}{2}  \\ a = 4

Finally, subtract:

32 - 4 = 28

7 0
3 years ago
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