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labwork [276]
3 years ago
14

How many solutions does this system of equations have? y = –2x + 3 y = –2x – 1

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Answer:

Step-by-step explanation:

in y = mx + b form, the slope is in the m position and the y int is in the b position

y = -2x + 3.....slope is -2 and y int is 3

y = -2x - 1...slope is -2 and y int is - 1

same slope, different y int's....means parallel lines...NO SOLUTION

learn this...it helps

same slope, different y int's = no solution

different slopes, different y int's = 1 solution

same slope, same y int's = infinite solutions

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Find the zeros (roots) of the following equations. f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
Talja [164]
Hi,
f(1)=2*1^5-9*1^4+12*1^3-12*1^2+10*1-3\\
=2-9+12-12+10-3\\
=0\\

f(x)=(x-1)(2x^4-7x^3+5x^2-7x+3)\\


g(x)=2x^4-7x^3+5x^2-7x+3\\

g(3)=2*3^4-7*3^3+5*3^2-7*3+3\\
=162-189+45-21+3\\
=0\\

g(x)=(x-3)(2x^3-x^2+2x-1)\\

h(x)=2x^3-x^2+2x-1\\

h( \dfrac{1}{2} )=2* \dfrac{1}{8} - \dfrac{1} {4}+1-1\\
=0\\

h(x)=(2x-1)(x^2+1)\\


f(x)=(x-1)(x-3)(2x-1)(x+i)(x-i)\\



Roots are 1,3,0.5,i,-i.

8 0
3 years ago
Which of the following represents a positive number?​
Trava [24]

Answer: OPTION C

Step-by-step explanation:

A positive number must be greater than (>) 0, so lets check which fits this condition.

--------------------------------------------

A.

7.09+(-7.28)=-0.19   NEGATIVE

B.

-12+11.5=-0.5  NEGATIVE

C.

-4.8-(-6.1)=1.3   POSITIVE

D.

-21-(-18.5)=2.5   NEGATIVE

--------------------------------------------

C represents positive number

Hope this helps!! :)

Please let me know if you have any question

3 0
3 years ago
Pls help...................
bearhunter [10]
First one b ≤ 9 good luck
5 0
3 years ago
How do you find the rate of change
olga_2 [115]
If it's for a graph then I believe you just find the slope which you can do by taking two points and plugging them into this equation y-y
/
X-X

Example: (2, 4) and (6, 7) the first number is always x and the second is always y so if you plug those in the equation would look like this....

4-7
/
2-6

That would end up being
3
- ---- aka the rate of change
4


P.s. The slash and the four dotted lines together means division. Hope this helps
6 0
3 years ago
Joan’s washing machine tub is a cylinder with a height of 17 in. and a diameter of 22 in. Her washer was half full of water when
xxMikexx [17]
Find the volume of the cylinder and divide by 2:

V = pi * r^2 * h

V = 3.14 * 11^2 * 17

V = 6458.98

Divide by 2 since it's half full:

6458.98 / 2 = 3229.49

Now divide it by 46.2 to see how long it will take to drain out:

3229.49 / 46.2 = 69.902

So it will take approximately 70 seconds to drain out.
4 0
3 years ago
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