Answer:
Step-by-step explanation:
If (x+8) is a factor of f(x), then for some expression p, we have ...
f(x) = (x+8)p
Evaluated at x=-8, this gives ...
f(-8) = (-8+8)p = 0p
f(-8) = 0 . . . . must be true
_____
Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that <em>must</em> be true is the one shown above.
Answer:
y = 2x + 1
Step-by-step explanation:
formula for equation of graph:
substitute m = 2 and c = 1 into the equation
Answer:
1.30 p.M.
Step-by-step explanation:
The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.
The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.
So, you will hear them both at the same time at 1:30 p.M.
We can also solve this problem using LCM:
the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.
Answer:
567.69
Step-by-step explanation:
Let p represent the original price
The Mark up is 27%
= 27/100
= 0.27
= p + 0.27p
= 1.27p
The retail price for pants is
= 1.27(74)
= 93.98
The retail price for suit jacket is
= 1.27(325)
= 412.75
The retail price for dress shirt is
= 1.27(48)
= 60.96
Therefore the markup for a pair of pants, dress shirts and suit jacket can be calculated as follows
= 93.98 + 412.75 + 60.96
= 567.69
Answer:
Step-by-step explanation:
we know that
The area of the circle is equal to
where
D is the diameter of the circle
Solve for D
That means-----> Isolate the variable D
Multiply both sides by 4 to remove the fraction
Divide both sides by π
square root both sides
Rewrite
Simplify
