I assume the equation is
√(2x - 5) - √(x + 6) = 0
Note the domains for the root expressions:
• √(2x - 5) : 2x - 5 ≥ 0 ⇒ x ≥ 5/2
• √(x + 6) : x + 6 ≥ 0 ⇒ x ≥ -6
So any valid solution we find must be at least 5/2.
Move one term to the other side.
√(2x - 5) = √(x + 6)
Take squares.
(√(2x - 5))² = (√(x + 6))²
2x - 5 = x + 6
Solve for x :
x = 11
Answer:
<em>The expression that represents her gross pay each day will be:
dollars.</em>
Step-by-step explanation:
Suppose, Harriet's gross pay each day 
So, her total gross pay for 7 work days 
Given that, her gross pay at the end of 7 work days is
dollars.
So, the equation will be.......

Thus, the expression that represents her gross pay each day will be:
dollars.
Step-by-step explanation:
For g(x) = f(x) + 5:
Because f(x) = x, this can be simplified to:
y = x + 5
For h(x) = 2 * f(x) - 3, simplified to:
2*x - 3 or 2x - 3
For j(x) =
, simplified it is

For f(x), this can be drawn relatively easy, it is a linear line starting at the coordinates (0,5) gradually increasing by 1 in both the y and x axis. It can be drawn parallel to the line given in your question just one above.
For h(x), the line will start at (0, -3) but then have an incline of 2, i.e. the second point would be at 1, -1, and the third at (3, 3). This is because you are doubling the value of x but subtracting 3.
For j(x), x is halved so the line will be less steep although it will start at the coordinate (0, -1) because 1 is being subtracted.
Hope this helps!
Answer:
21/56 in simplest form is 3/8
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
y = rx
substitute numbers in and solve for r
if
y = 10
x = 4
then
10 = r4
r = 10/4 = 2.5
this works for all the other numbers and always gives r = 2.5