Answer: (x + 1) ( x + 4)
Step-by-step explanation:
Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
To find the equation of the graph, what we do is to recognize some characteristics of a sine function:
- Amplitude: The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In this case, the amplitude is 1.
- Period: The period of a sine function is defined as the length of one complete sine wave or one complete cycle of the curve. It can be found using the equation: P=2pi/B.
Why are these characteristics important?
Because the sine function has the following general form:
In this problem, we have A=1 and we know that the period equals 2pi/3. So,
Therefore, the equation of the graph is:
your answer will be f(x)=113−kx,f(−3)=121
Answer:
"The rate of Hose A is 1 gallon per minute more than the rate of Hose B"
Step-by-step explanation:
Hose A:
60 gallons every 15 minutes means
60/15 = 4 gallons per minute
Hose B:
y = 3x
y is gallons
x is minutes
we put x = 1 and get:
y = 3*1 = 3
That means 3 gallons per minute
Thus,
the correct choice is C), or third option. 4 is 1 greater than 3 so Hose A is 1 gallons per minute more than the rate of Hose B.