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Tpy6a [65]
2 years ago
5

Factorize: x3–23x2+ 142 x -120

Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Step-by-step explanation:

x³ - 23x² + 142x - 120

x³ - x² - 22x² + 22x + 120x - 120

x²(x - 1) - 22x(x - 1) + 120(x - 1)

(x - 1)(x² - 22x + 120)

(x - 1)(x² - 10x - 12x + 120)

(x - 1)[x(x - 10) - 12(x - 10)]

(x - 1) (x - 10) (x - 12)

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3(x+4)+5(x+1)=25 <br> what is x?
Serjik [45]
3x+12+5x+5=25
8x+17=25
8x=8
x=1
3 0
3 years ago
Prove by contradiction that the interval (a,<br> b.has no minimum element.
Snowcat [4.5K]

Assume (a,b) has a minimum element m.


m is in the interval so a < m < b.


a < m


Adding a to both sides,


2a < a + m


Adding m to both sides of the first inequality,


a + m < 2m


So


2a < a+m < 2m


a < (a+m)/2 < m < b


Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.


8 0
3 years ago
Can someone please help me on this
wlad13 [49]

Answer:

15.7 inches

Step-by-step explanation:

A clock is a circle .  It tells us that the radius of the circle is 2.5 inches, and it is asking for the circumference.  Therefore, we can use the equations for a circle to solve for the circumference.

Circumference=2\pi r\\C = 2 \pi (2.5)\\C = 15.708

3 0
2 years ago
Solve the triangle.
saw5 [17]

Answer:

Step-by-step explanation:

because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

b^{2} = a^{2} +c^{2} -2*a*c*cos(B)

b^{2} =1681+400-1326.787871

b^{2}= 754.21219

b= \sqrt{754.21219}

b= 27.46292

so the last choice looks good

5 0
3 years ago
A circle has a diameter of 29 feet. What is the area? *
11111nata11111 [884]

Answer:

The answer is

<h2>660.5 square feet</h2>

Step-by-step explanation:

Area of a circle = πr²

where r is the radius

From the question

diameter = 29 feet

To find the radius given the diameter we use the formula

radius =  \frac{diameter}{2}  \\ radius  =  \frac{29}{2}  \\  = 14.5 \:  \: feet

So the area of the circle is

A =  {14.5}^{2} \pi \\  = 210.25\pi \\  = 660.519...

We have the final answer as

<h3>660.5 square feet</h3>

Hope this helps you

7 0
3 years ago
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