The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1.
Step-by-step explanation:
The given is,
......................................(1)
....................................(2)
Step:1
By elimination method,
Subtracting Equations (1) and (2),
( - )
( 
) + ( 
) = ( 
)
= 6
= 1
Step:2
Substitute the value of y in equation (1),
+ ( 3 × 1 ) = 5
= 5-3
= 2
Step:3
Check for Solution,
Substitute the values of x and y in Eqn (1),
2 + ( 3 × 1 ) = 5
5 = 5
Result:
The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1, by elimination method.
Answer:
x=4
Step-by-step explanation:
-5(4-x)=-5x+20
We simplify the equation to the form, which is simple to understand
-5(4-x)=-5x+20
Reorder the terms in parentheses
+(-20+5x)=-5x+20
Remove unnecessary parentheses
-20+5x=-5x+20
We move all terms containing x to the left and all other terms to the right.
+5x+5x=+20+20
We simplify left and right side of the equation.
+10x=+40
We divide both sides of the equation by 10 to get x.
x=4
Answer:
GAP but if not that AGP
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are given this data:
![\left[\begin{array}{cccccccccccc}long&0&1.5&3&4.5&6&7.5&9&10.5&12&13.5&15&&\\Area&0&18&59&78&93&105&118&128&63&38&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccccc%7Dlong%260%261.5%263%264.5%266%267.5%269%2610.5%2612%2613.5%2615%26%26%5C%5CArea%260%2618%2659%2678%2693%26105%26118%26128%2663%2638%260%5Cend%7Barray%7D%5Cright%5D)
First, calculate the x points by dividing the total length in 5:
x=3,6,9,12,15
Now you calculate the half point of the x axis intervals you just calculated:
and find the function values of each of them (the Area for each cut):
A(1.5) = 18
A(4.5)=78
A(7.5)=105
A(10.5)=128
A(13.5)=38
Now you have formed the rectangles (see diagram below).
To calculate the volume, just use the next equation given by the midpoint rule:
Answer:
The polynomial (x -5) is not a factor of second polynomial 
Step-by-step explanation:
Factor theorem states that if you divide a polynomial p(x) by a factor x -a of that polynomial, then you will get a zero remainder.
i.,e 
which means that if x - a is a factor of p(x), then the remainder, when we do synthetic division by x= a, will be zero.
Determine whether the first polynomial is a factor of the second polynomial.
Given the polynomial: 
For 
to be a factor of , the factor theorems implies that x = 5 must be a zero of f(x).
Now, to test whether is a factor;
Set x -5 = 0
⇒x = 5
Then,
we will use synthetic division method to divide f(x) by x =5
you can see the figure as shown below in the attachment.
Since, the remainder is 150 which is not equal to zero, then Factor theorem says that (x-5) is not a factor of
