Answer:
(3) 2(3x - 5)(3x + 5)
Step-by-step explanation:
Look at the graph picture I attached
c is the intercept, which is why the graph crosses the y-axis at +3
to find where it crosses the x-axis, we make y = 0
Answer:
fog = 2√(x-1) + 1
Domain = [1, 
)
Step-by-step explanation:
Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog
fog = f(g(x))
f(g(x)) = f(√(x-1))
f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)
f(√(x-1)) = 2(√(x-1))+1
f(√(x+1)) = 2√(x-1) + 1
fog = 2√(x-1) + 1
<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>
If x-1≥0
x≥0+1
x≥1
This means the range of variable x must be values of x greater than or equal to 1.
Domain = [1, )
Answer: 2.79 hours.
Step-by-step explanation:
Given that the function for the learning process is T(x) = 2 + 0.3 1 x , where T(x) is the time, in hours, required to produce the xth unit
To calculate the time for the new worker to produce 10 units, substitute 10 for x in the equation above.
T(x) = 2 + 0.31 (10)
T(x) = 2 + 3.1
T(x) = 5.1 hours
To calculate the time for the new worker to produce 19 units, substitute 19 for x in the equation above.
T(x) = 2 + 0.31(19)
T(x) = 2 + 5.89
T(x) = 7.89 hours
The time required for a new worker to produce units 10 through 19 will be
7.89 - 5.1 = 2.79 hours
Answer:
Step-by-step explanation:
1. A boutique is offering a 15% discount on a dress. Calculate the cash price for the dress if the marked price is $2300.
2. An artist charges $980 for a portrait but gives a 5% discount. Calculate the cash price of the portrait.
3. A television set has a selling price of $1950. A 10% discount is offered for cash. What amount is the cash price to the customer?
4. A store is having a sale on dining sets. The marked price is $47,320, however a discount of 12% is being offered for cash. Calculate the cash price of the dining set.
5. A tailor charges $2487 for a suit but gives a discount of 5%. What is the cash price for the suit?
6. A washing machine has a marked price of $33,000 and a discount of 6% is given for cash. What is the cash price of the washing machine?
7. Laura sees a summer dress in a store with a marked price of $1303. A discount of 9% is given on cash. What is the cash price of the summer dress?
Light behaves mainly like a wave but it can also be considered to consist of tiny packages of energy called photons. Photons carry a fixed amount of energy but have no mass. They also found that increasing the intensity of light increased the number of electrons ejected, but not their speed.
