The domain of a function is the set of input or argument values for which the function is real and defined.
So, for the given function to be defined, we need to find the possible values for which the values of x makes the square root to be positive.
That is;
-9 -5x ≥ 0
Now, let's solve for x
Add 9 to both-side of the equation
-5x ≥ 9
Divide both-side by -5
x ≤ -9/5
Therefore, the domain of the function can be represented in interval notation as: ( - ∞ , -9/5]
-2 ≤ x < 8 is the answer.
Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 - Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 - Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.
If the polygon or the figures are similar then it is
known that the ratios of their corresponding sides and angles are proportional.
In this item we can derive an equation that is,
<span>
AC/AE = AD/AB</span>
Substituting the known values,
<span>
4/7 = 10/AB</span>
<span>AB from the equation is equal to 70/4 or equal to 17 ½. </span>
Not sure if I'm right but I believe they intersect at (1,4).
