The 1st term is 60.
Add 50 to this to get the 2nd term, 60 + 50 = 110.
Add 50 to that to get the 3rd term, 110 + 50 = 160.
Add 50 to that to get the 4th term, 160 + 50 = 210.
And so on...
Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.
In the 3rd, we ultimately added 2 copies of 50 to the 1st term.
In the 4th, we added 3 50s.
And so on... If the pattern continues, then the <em>n</em>-th term can be obtained by adding (<em>n</em> - 1) copies of 50 to the first term.
So, the 100th term is
60 + (100 - 1) * 50 = 5010
Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:



Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33

y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
Answer: 31.50
Step-by-step explanation: 30$ = 3,000 cents, 5 percent of 3,000 = 150 cents, 150 cents = 1.5$
1.50 + 30.00 = 31.50
im not good at decimals sorry if this is wrong ;_;
I think the Caldwell family (tbh I don’t know ♀️)
x=-3 then y= 27
x= -2 then y= 9
x=2 then y: 
x=3 then y: 
The graph of the function decreases from left to right.
Option C is correct.
Step-by-step explanation:
We are given the function: 
and we need to fill the table
if x = -3 then y=?
Putting value of x in the given function:


Applying exponent rule a^-b= 1/a^b

if x = -2 then y=?
Putting value of x in the given function:


Applying exponent rule a^-b= 1/a^b

if x = 2 then y=?
Putting value of x in the given function:


Applying exponent rule a^-b= 1/a^b

if x = 3 then y=?
Putting value of x in the given function:


Applying exponent rule a^-b= 1/a^b

So, x=-3 then y= 27
x= -2 then y= 9
x=2 then y: 
x=3 then y: 
Graph of the function is shown in figure attached.
The graph of the function decreases from left to right.
Option C is correct.
Keywords: Solving Equations
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