Consider the arithmetic series 
Let t=1 in the given series, we get
first term = 
= 3-4 = -1.
Let t=2 in the given series, we get
second term = 
= 
Let t=3 in the given series, we get
third term = 
Now, let t=18 in the given series, we get
last term = l = 
We get the series as
-1, 2, 5,..... 50
Sum = 
= 
= 
= 441
Therefore, the sum of the given arithmetic series is 441.
Answer: It's good to think about things before doing them because it is more thought out and you have a better chance of getting things correct whereas without thinking your most likely going to get it wrong. Without thinking through your options you are basically guessing the answer. I hope this helped you have a great day and god bless you :D
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
Step-by-step explanation:
5.
g(x)=-2x+1
let y=2x+1
Interchanging role of x & y
x=2y+1
y=½x-½
g-¹(x)=½(x-1)
not
equal to f(x)=-x+1
<u>Given function are not function of each other</u> .
6.
g(x)=-x
let
y=-x
Interchanging role of x & y
x=-y
y=-x
g-¹(x)=-x
not
equal to f(x)=3+⅓x
<u>Given function are not function of each other .</u>
<span>step 1 :</span><span> 6
Simplify ——
x2
</span><span>Equation at the end of step 1 :</span><span> 10 6
(((((x2)+3x)-————)-2x)-15)——)+6x)+9)
(x2)(((((x^2)x2
</span><span>Step 2 :</span>Rewriting the whole as an Equivalent Fraction :
<span> 2.1 </span> Subtracting a fraction from a whole
Rewrite the whole as a fraction using <span> <span>x2</span> </span> as the denominator :
<span> x2 + x (x2 + x) • x2
x2 + x = —————— = —————————————
1 x2
</span>
<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole
<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator
<span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> x2 + x</span> = x • (x + 1)
Adding fractions that have a common denominator :
<span> 3.2 </span> Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
<span> x • (x+1) • x2 - (6) x4 + x3 - 6
———————————————————— = ———————————
x2 x2
</span><span>Equation at the end of step 3 :</span><span> 10 (x4+x3-6)
(((((x2)+3x)-————)-2x)-15)—————————+6x)+9)
(x2)(( x2
</span><span>Step 4 :</span>Rewriting the whole as an Equivalent Fraction :
<span> 4.1 </span> Adding a whole to a fraction
Rewrite the whole as a fraction using <span> <span>x2</span> </span> as the denominator :
<span> 6x 6x • x2
6x = —— = ———————
1 x2 </span>
