Answer:
The responses to the given question can be defined as follows:
Step-by-step explanation:
Please find the complete question in the attached file.
Answer:
2, 4, 2, 8, 16
Step-by-step explanation:
Hello.
To find the slope, use the formula:
m= (y2-y1) / (x2-x1)
Note: The 2s and 1s are NOT exponents or constants. They are simply markers.
So:
m= (5-(-4)) / (2-0)
m= (5+4) / 2
m = 9/2
Note: The order of the coordinates don't matter as long as y2 is aligned with x2 etc.
Example: (okay)
m= ((-4)-5) / (0-2)
m= -9/ -2
m= 9/2 because a negative multiplied or divided by a negative makes a positive.
Now, let's see what's not okay:
(2,5)(0,-4)
m= (5-(-4)) / (0-2)
NOT. OKAY. since the 1s and 2s aren't aligned.
Hope that helped.
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Disclaimer:
Always double check with a reliable source, as mistakes can be made.
Answer:
Step-by-step explanation:
Let X= each ticket for adults and Y= each ticket for kids
x+y=548
6.50x+3.50y=2881
subtract x from each side leaving you with y= -x+548
Plug in for Y
6.50x+3.50(-x+548)=2881
6.50x - 3.50x + 1918= 2881
3x+1918=2881 ....subtract
3x=963 .....divide by 3
X= 321 tickets for adults
321+y=548 ...subtract 321
Y=227 childrens tickets
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
