Answer:
x+3
Step-by-step explanation:
If you factor 5 out of the denominator of the first expression, 5x+15 turns into 5(x+3).
Then, since you have x+3 in the numerator and denominator, it will cancel out.
The steps are shown below:
Ive attached an image that shows an example of simplifying an expression using a the same technique.
Answer:
-(5^N)
Step-by-step explanation:
The sequence is a negated 5 to the N power
ex.) -(5^0) = -1
-(5^1) = -5
-(5^2) = -25
-(5^3) =125
All angles in a quadrilateral add to 360
x is supplementary to that other angle, call it y
the angles inside are 40, 80, 110 and y
40+80+110+y=360
230+y=360
minus 230 both sides
y=130
that is supplementary to x (adds to 180)
x+y=180
x+130=180
minus 130 both sides
x=50
x=50 degrees
We let
a1 = first term
a2 = second term
a3 = third term
and so on
We are given with
a1 + a2 = 26
S5 (sum of five terms) = 35
The formula for the sum of terms is
Sn = (a1 + an) (n/2)
SO
35 = (a1 + a5) (5/2)
The formula for an arithmetic term is
an = a1 + d(n-1)
For
a2 = a1 + d
we know that
a1 + a2 = 26
Simply for a1, a2, and d. Then use the formula to get the other items asked.
D>7
To write an inequality means to write an expression where one side is greater than the other, or less than the other. In this case, we are to write an inequality that shows that John will have more than 7 dollars in his bank account. The variable we are to use is d, which will represent the number dollars in his bank account. If he wants to have more than seven dollars, then d will have to be greater than seven.
